Guantao Chen

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All published works

Action	Title	Year	Authors
+ PDF Chat	Precoloring extension of Vizing’s Theorem for multigraphs	2024	Yan Cao Guantao Chen Guangming Jing Xuli Qi Songling Shan
+ PDF Chat	A short proof of the Goldberg-Seymour conjecture	2024	Guantao Chen Yanli Hao Xingxing Yu Wenan Zang
+	The core conjecture of Hilton and Zhao	2024	Yan Cao Guantao Chen Guangming Jing Songling Shan
+ PDF Chat	Overfullness of edge‐critical graphs with small minimal core degree	2023	Yan Cao Guantao Chen Guangming Jing Songling Shan
+	A decomposition method on solving the linear arboricity conjecture	2023	Guantao Chen Yanli Hao Guoning Yu
+	Decreasing the mean subtree order by adding <i>k</i> edges	2023	Stijn Cambie Guantao Chen Yanli Hao Nizamettin Tokar
+ PDF Chat	On Gupta’s Codensity Conjecture	2023	Yan Cao Guantao Chen Guoli Ding Guangming Jing Wenan Zang
+	Unions of perfect matchings in r-graphs	2023	Guantao Chen Nizamettin Tokar
+ PDF Chat	Linear arboricity of degenerate graphs	2023	Guantao Chen Yanli Hao Guoning Yu
+	Local Dirac's condition on the existence of 2-factor	2023	Xiao Dong Chen Guantao Chen
+	Spanning trees with at most <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si3.svg"><mml:mi>k</mml:mi></mml:math> leaves in 2-connected <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si4.svg"><mml:msub><mml:mi>K</mml:mi><mml:mrow><mml:mn>1</mml:mn><mml:mo>,</mml:mo><mml:mi>r</mml:mi></mml:mrow></mml:msub></mml:math>-free graphs	2023	Guantao Chen Yuan Chen Zhiquan Hu Shunzhe Zhang
+	A note on Gupta's co-density conjecture	2023	Guantao Chen Songling Shan
+	A linear algorithm for obtaining the Laplacian eigenvalues of a cograph	2023	Guantao Chen Fernando Tura
+	Decreasing the mean subtree order by adding $k$ edges	2023	Stijn Cambie Guantao Chen Yanli Hao Nizamettin Tokar
+	Double Vizing fans in critical class two graphs	2022	Yan Cao Guantao Chen Xuli Qi
+ PDF Chat	On the coequal values of total chromatic number and chromatic index	2022	Guantao Chen Yanli Hao
+ PDF Chat	The Overfullness of Graphs with Small Minimum Degree and Large Maximum Degree	2022	Yan Cao Guantao Chen Guangming Jing Songling Shan
+ PDF Chat	Overfullness of critical class 2 graphs with a small core degree	2022	Yan Cao Guantao Chen Songling Shan
+ PDF Chat	An improvement to the Hilton-Zhao vertex-splitting conjecture	2022	Yan Cao Guantao Chen Songling Shan
+ PDF Chat	Independence number of edge‐chromatic critical graphs	2022	Yan Cao Guantao Chen Guangming Jing Songling Shan
+	Multithreshold multipartite graphs	2022	Guantao Chen Yanli Hao
+	Precoloring extension of Vizing's Theorem for multigraphs	2022	Yan Cao Guantao Chen Guangming Jing Xuli Qi Songling Shan
+	Overfullness of edge-critical graphs with small minimal core degree	2022	Yan Cao Guantao Chen Guangming Jing Songling Shan
+ PDF Chat	A note on Goldberg's conjecture on total chromatic numbers	2021	Yan Cao Guantao Chen Guangming Jing
+	Multiplicity of the second‐largest eigenvalue of a planar graph	2021	Guantao Chen Yanli Hao
+ PDF Chat	Laminar tight cuts in matching covered graphs	2021	Guantao Chen Xing Feng Fuliang Lu Cláudio L. Lucchesi Lianzhu Zhang
+ PDF Chat	Improved bounds on the Ramsey number of fans	2021	Guantao Chen Xiaowei Yu Yi Zhao
+ PDF Chat	The conjunction of the linear arboricity conjecture and Lovász's path partition theorem	2021	Guantao Chen Yanli Hao
+	An improvement to the vertex-splitting conjecture	2021	Yan Cao Guantao Chen Songling Shan
+	The overfullness of graphs with small minimum degree and large maximum degree	2021	Yan Cao Guantao Chen Guangming Jing Songling Shan
+	The Core Conjecture of Hilton and Zhao I: Pseudo-multifan and Lollipop	2021	Yan Cao Guantao Chen Guangming Jing Songling Shan
+	The Core Conjecture of Hilton and Zhao II: a Proof	2021	Yan Cao Guantao Chen Guangming Jing Songling Shan
+	A note on Goldberg's conjecture on total chromatic numbers	2021	Yan Cao Guantao Chen Guangming Jing
+ PDF Chat	The chromatic number of {ISK4, diamond, bowtie}‐free graphs	2020	Guantao Chen Yuan Chen Qing Cui Xing Feng Qinghai Liu
+	On the average degree of edge chromatic critical graphs II	2020	Yan Cao Guantao Chen
+	Ramsey number of fans	2020	Guantao Chen Xiaowei Yu Yi Zhao
+	$Δ$-critical graphs with a vertex of degree 2	2020	Yan Cao Guantao Chen Songling Shan
+ PDF Chat	$\Delta$-critical graphs with a vertex of degree 2	2020	Yan Cao Guantao Chen Songling Shan
+ PDF Chat	On the average degree of edge chromatic critical graphs	2020	Yan Cao Guantao Chen
+ PDF Chat	Hamiltonicity of edge-chromatic critical graphs	2020	Yan Cao Guantao Chen Suyun Jiang Huiqing Liu Fuliang Lu
+	The Chromatic Number of Graphs with No Induced Subdivision of $$K_4$$	2020	Guantao Chen Yuan Chen Qing Cui Xing Feng Qinghai Liu
+	Laminar Tight Cuts in Matching Covered Graphs	2020	Guantao Chen Xing Feng Fuliang Lu Cláudio L. Lucchesi Lianzhu Zhang
+	Proof of the Core Conjecture of Hilton and Zhao	2020	Yan Cao Guantao Chen Guangming Jing Songling Shan
+	$Δ$-critical graphs with a vertex of degree 2	2020	Yan Cao Guantao Chen Songling Shan
+	Overfullness of critical class 2 graphs with a small core degree	2020	Yan Cao Guantao Chen Songling Shan
+ PDF Chat	Spanning bipartite graphs with high degree sum in graphs	2019	Guantao Chen Shuya Chiba Ronald J. Gould Xiaofeng Gu Akira Saito Masao Tsugaki Tomoki Yamashita
+	Extremal Union-Closed Set Families	2019	Guantao Chen Hein van der Holst Alexandr Kostochka Nana Li
+ PDF Chat	Ring graphs and Goldberg's bound on chromatic index	2019	Yan Cao Guantao Chen Shushan He Guangming Jing
+	Structural properties of edge-chromatic critical multigraphs	2019	Guantao Chen Guangming Jing
+	Average degrees of edge-chromatic critical graphs	2019	Yan Cao Guantao Chen Suyun Jiang Huiqing Liu Fuliang Lu
+	Graph Edge Coloring: A Survey	2019	Yan Cao Guantao Chen Guangming Jing Michael Stiebitz Bjarne Toft
+	Proof of the Goldberg-Seymour Conjecture on Edge-Colorings of Multigraphs	2019	Guantao Chen Guangming Jing Wenan Zang
+	Disjoint Odd Cycles in Cubic Solid Bricks	2019	Guantao Chen Xing Feng Fuliang Lu Lianzhu Zhang
+ PDF Chat	Dirac's Condition for Spanning Halin Subgraphs	2019	Guantao Chen Songling Shan
+	On Gupta's Co-density Conjecture	2019	Yan Cao Guantao Chen Guoli Ding Guangming Jing Wenan Zang
+	Cycles with a chord in dense graphs	2018	Guantao Chen Ronald J. Gould Xiaofeng Gu Akira Saito
+ PDF Chat	Chromatic index determined by fractional chromatic index	2018	Guantao Chen Yuping Gao Ringi Kim Luke Postle Songling Shan
+	Independence number of edge-chromatic critical graphs	2018	Yan Cao Guantao Chen Guangming Jing Songling Shan
+	The space of ends of pairs of disjoint paths	2017	Guantao Chen Serguei Norine Robin Thomas Hein van der Holst
+	On the Space of 2-Linkages	2017	Guantao Chen Serguei Norine Robin Thomas Hein van der Holst
+	Hamiltonicity of edge chromatic critical graphs	2017	Guantao Chen Xiao Dong Chen Yue Zhao
+ PDF Chat	Vizing's 2‐Factor Conjecture Involving Large Maximum Degree	2017	Guantao Chen Songling Shan
+	Average degrees of edge-chromatic critical graphs	2017	Yan Cao Guantao Chen Suyun Jiang Huiqing Liu Fuliang Lu
+	Structural properties of edge-chromatic critical multigraphs	2017	Guantao Chen Guangming Jing
+	On the Space of 2-Linkages	2017	Guantao Chen Serguei Norine Robin Thomas Hein van der Holst
+	Hamiltonicity of edge-chromatic critical graphs	2017	Yan Cao Guantao Chen Suyun Jiang Huiqing Liu Fuliang Lu
+ PDF Chat	Nonempty intersection of longest paths in series–parallel graphs	2016	Guantao Chen Julia Ehrenmüller Cristina G. Fernandes Carl Georg Heise Songling Shan Ping Yang Amy N. Yates
+	Equitable vertex arboricity of 5-degenerate graphs	2016	Guantao Chen Yuping Gao Songling Shan Guanghui Wang Jianliang Wu
+	Chromatic index determined by fractional chromatic index	2016	Guantao Chen Yuping Gao Ringi Kim Luke Postle Songling Shan
+	Spanning trails with maximum degree at most 4 in $2K_2$-free graphs	2016	Guantao Chen M. N. Ellingham Akira Saito Songling Shan
+	Hadwiger's conjecture for degree sequences	2015	Guantao Chen Katsuhiro Ota
+ PDF Chat	Characterizing Forbidden Pairs for Hamiltonian Squares	2015	Guantao Chen Songling Shan
+	Difference of forbidden pairs containing a claw	2015	Guantao Chen Michitaka Furuya Songling Shan Shoichi Tsuchiya Ping Yang
+	Dirac's Condition for Spanning Halin Subgraphs	2015	Guantao Chen Songling Shan
+	Results and Problems on Saturation Numbers for Linear Forests	2015	Guantao Chen Jill R. Faudree Ralph J. Faudree Ronald J. Gould Michael S. Jacobson Colton Magnant
+	Disjoint Chorded Cycles of the Same Length	2015	Guantao Chen Ronald J. Gould Kazuhide Hirohata Katsuhiro Ota Songling Shan
+	2-Factors in Edge Chromatic Critical Graphs with Large Maximum Degree	2014	Guantao Chen Songling Shan
+	Degree Conditions for Spanning Brooms	2014	Guantao Chen Michael Ferrara Zhiquan Hu Michael S. Jacobson Huiqing Liu
+	Vizing's 2-factor Conjecture Involving Large Maximum Degree	2014	Guantao Chen Songling Shan
+	Minimum degree condition for spanning generalized Halin graphs	2014	Guantao Chen Songling Shan Ping Yang
+	Characterizing forbidden pairs for hamiltonian squares	2014	Guantao Chen Songling Shan
+	Union Closed Set Conjecture and Maximum Dicut in Connected Digraph	2014	Nana Li Guantao Chen
+	On Maximum Edge Cuts of Connected Digraphs	2013	Guantao Chen Manzhan Gu Nana Li
+	Homeomorphically irreducible spanning trees	2013	Guantao Chen Songling Shan
+	The circumference of a graph with no <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:msub><mml:mrow><mml:mi>K</mml:mi></mml:mrow><mml:mrow><mml:mn>3</mml:mn><mml:mo>,</mml:mo><mml:mi>t</mml:mi></mml:mrow></mml:msub></mml:math>-minor, II	2012	Guantao Chen Xingxing Yu Wenan Zang
+	Hamiltonian cycles with all small even chords	2012	Guantao Chen Katsuhiro Ota Akira Saito Yi Zhao
+	Endpoint extendable paths in dense graphs	2011	Guantao Chen Zhiquan Hu Hao Li
+ PDF Chat	Toughness of $K_{a,t}$-Minor-free Graphs	2011	Guantao Chen Yoshimi Egawa Ken-ichi Kawarabayashi Bojan Mohar Katsuhiro Ota
+ PDF Chat	Saturation numbers for families of Ramsey-minimal graphs	2011	Guantao Chen Michael Ferrara Ronald J. Gould Colton Magnant John R. Schmitt
+ PDF Chat	Circumferences of k-connected graphs involving independence numbers	2010	Guantao Chen Zhiquan Hu Yaping Wu
+	Path spectra for trees	2010	Guantao Chen Ralph J. Faudree Ľubomír Šoltés
+ PDF Chat	Approximating the chromatic index of multigraphs	2009	Guantao Chen Xingxing Yu Wenan Zang
+	Toric Geometry of Series-Parallel Graphs	2009	Joseph P. Brennan Guantao Chen
+ PDF Chat	Saturation Numbers of Books	2008	Guantao Chen Ralph J. Faudree Ronald J. Gould
+	Gauss-Bonnet Formula, Finiteness Condition, and Characterizations of Graphs Embedded in Surfaces	2008	Beifang Chen Guantao Chen
+	Non‐path spectrum sets	2008	Guantao Chen Ralph J. Faudree Xuechao Li Ingo Schiermeyer
+	Graphic sequences with a realization containing a complete multipartite subgraph	2008	Guantao Chen Michael Ferrara Ronald J. Gould John R. Schmitt
+	Linked graphs with restricted lengths	2008	Guantao Chen Yuan Chen Shuhong Gao Zhiquan Hu
+	The neighborhood union of independent sets and hamiltonicity of graphs	2007	Guantao Chen Xuechao Li Zhengsheng Wu Xingping Xu
+	Chvátal Erdős condition and 2-factors with a specyfied number of components	2007	Guantao Chen Ken‐ichi Kawarabayashi Katsuhiro Ota Akira Saito Ingo Schiermeyer
+	The circumference of a graph with no <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:msub><mml:mi>K</mml:mi><mml:mrow><mml:mn>3</mml:mn><mml:mo>,</mml:mo><mml:mi>t</mml:mi></mml:mrow></mml:msub></mml:math>-minor	2006	Guantao Chen Laura Sheppardson Xingxing Yu Wenan Zang
+	Hamiltonian graphs involving neighborhood unions	2006	Guantao Chen Warren E. Shreve Bing Wei
+ PDF Chat	Approximating Longest Cycles in Graphs with Bounded Degrees	2006	Guantao Chen Zhicheng Gao Xingxing Yu Wenan Zang
+	Cycle Extendability of Hamiltonian Interval Graphs	2006	Guantao Chen Ralph J. Faudree Ronald J. Gould Michael S. Jacobson
+	New Conditions for k-ordered Hamiltonian Graphs.	2004	Guantao Chen Ronald J. Gould Florian Pfender
+	An Interlacing Result on Normalized Laplacians	2004	Guantao Chen George J. Davis Frank J. Hall Zhongshan Li Kinnari Patel Michael Stewart
+	Circumference of Graphs with Bounded Degree	2004	Guantao Chen Jun Xu Xingxing Yu
+ PDF Chat	Linear forests and ordered cycles	2004	Guantao Chen Ralph J. Faudree Ronald J. Gould Michael S. Jacobson Linda Lesniak Florian Pfender
+	On Ranks of Matrices Associated with Trees	2003	Guantao Chen Frank J. Hall Zhongshan Li Bing Wei
+	Second Neighborhood via First Neighborhood in Digraphs	2003	Guantao Chen Jian Shen Raphael Yuster
+	Extremal graphs for intersecting cliques	2003	Guantao Chen Ronald J. Gould Florian Pfender Bing Wei
+	Fragile graphs with small independent cuts	2002	Guantao Chen Ralph J. Faudree Michael S. Jacobson
+	Fragile graphs with small independent cuts	2002	Guantao Chen Ralph J. Faudree Michael S. Jacobson
+	The hamiltonicity of bipartite graphs involving neighborhood unions	2002	Guantao Chen Akira Saito Bing Wei Xuerong Zhang
+	Vertex-disjoint cycles containing specified edges in a bipartite graph	2001	Guantao Chen Hikoe Enomoto Ken Kawarabayashi Katsuhiro Ota Dingjun Lou Akira Saito
+	Weak Clique-Covering Cycles and Paths.	2001	Guantao Chen Ralph J. Faudree Warren E. Shreve
+	Degree sequences with repeated values	2001	Guantao Chen Joan P. Hutchinson Wiktor Piotrowski Warren E. Shreve Bing Wei
+	Clique covering the edges of a locally cobipartite graph	2000	Guantao Chen Michael S. Jacobson André E. Kézdy Jenö Lehel Edward R. Scheinerman Chi Wang
+	Cycles in 2-Factors of Balanced Bipartite Graphs	2000	Guantao Chen Ralph J. Faudree Ronald J. Gould Michael S. Jacobson Linda Lesniak
+ PDF Chat	2-factors in claw-free graphs	2000	Guantao Chen Ralph J. Faudree Ronald J. Gould Akira Saito
+	On 2-factors containing 1-factors in bipartite graphs	1999	Guantao Chen Ronald J. Gould Michael S. Jacobson
+	Note on graphs without repeated cycle lengths	1998	Guantao Chen Jenö Lehel Michael S. Jacobson Warren E. Shreve
+	Vertex colorings with a distance restriction	1998	Guantao Chen András Gyárfás R. H. Schelp
+	Note on graphs without repeated cycle lengths	1998	Guantao Chen Jen� Lehel Michael S. Jacobson Warren E. Shreve
+ PDF Chat	Star‐factors of tournaments	1998	Guantao Chen Xiaoyun Lu Douglas B. West
+ PDF Chat	Star-factors of tournaments	1998	Guantao Chen Xiaoyun Lu Douglas B. West
+	Mixed Ramsey numbers: total chromatic number versus stars.	1998	Nirmala Achuthan Guantao Chen
+	Star-factors of tournaments	1998	Guantao Chen Xiao-Yun Lu Douglas B. West
+	Degree Sum Conditions for Hamiltonicity on k-Partite Graphs	1997	Guantao Chen Michael S. Jacobson
+	A Class of Edge Critical 4-Chromatic Graphs	1997	Guantao Chen Paul Erdős András Gyárfás R. H. Schelp
+	Can One Load a Set of Dice So That the Sum Is Uniformly Distributed?	1997	Guantao Chen M. Bhaskara Rao Warren E. Shreve
+	Degree conditions for 2-factors	1997	Stephan Brandt Guantao Chen Ralph J. Faudree Ronald J. Gould Linda Lesniak
+	Degree conditions for 2‐factors	1997	Stephan Brandt Guantao Chen Ralph J. Faudree Ronald J. Gould Linda Lesniak
+	A result on C4-star Ramsey numbers	1997	Guantao Chen
+	Graphs with given odd sets	1997	Guantao Chen R. H. Schelp ubom�r olt�s
+	Special monochromatic trees in two‐colored complete graphs	1997	Guantao Chen R. H. Schelp Ľubomír Šoltés
+	Essential independent sets and Hamiltonian cycles	1996	Guantao Chen Yoshimi Egawa Xin Liu Akira Saito
+	A partition approach to Vizing's conjecture	1996	Guantao Chen Wiktor Piotrowski Warren E. Shreve
+	Proof of a Conjecture of Bollob?s on Nested Cycles	1996	Guantao Chen Paul Erdős William Staton
+	A partition approach to Vizing's conjecture	1996	Guantao Chen Wiktor Piotrowski Warren E. Shreve
+	Hamiltonicity for <i>K</i><sub>1, r</sub>‐free graphs	1995	Guantao Chen R. H. Schelp
+	Hamiltonicity in balancedk-partite graphs	1995	Guantao Chen Ralph J. Faudree Ronald J. Gould Michael S. Jacobson Linda Lesniak
+	The irredundant ramsey number <i>s</i>(3, 7)	1995	Guantao Chen Cecil Rousseau
+	Vertex disjoint cycles for star free graphs.	1995	Guantao Chen Lisa R. Marcus R. H. Schelp
+	Neighborhood unions and the cycle cover number of a graph	1994	Guantao Chen Ronald J. Gould Michael S. Jacobson R. H. Schelp
+	Asymptotic bounds for irredundant and mixed Ramsey numbers	1993	Guantao Chen Johannes H. Hattingh Cecil Rousseau
+	Hamiltonian graphs involving neighborhood intersections	1993	Guantao Chen
+	Hamiltonian graphs involving distances	1992	Guantao Chen R. H. Schelp
+	One sufficient condition for hamiltonian graphs	1990	Guantao Chen

Common Coauthors

Coauthor	Papers Together
Songling Shan	36
Yan Cao	27
Guangming Jing	21
Ronald J. Gould	18
Michael S. Jacobson	14
Ralph J. Faudree	14
Akira Saito	8
Yanli Hao	8
Warren E. Shreve	8
Wenan Zang	8
R. H. Schelp	8
Fuliang Lu	7
Xingxing Yu	6
Katsuhiro Ota	6
Bing Wei	5
Linda Lesniak	5
Xing Feng	5
Zhiquan Hu	5
Yan Cao	5
Huiqing Liu	5
Yuan Chen	4
Suyun Jiang	4
Hein van der Holst	4
Florian Pfender	3
Wiktor Piotrowski	3
Nizamettin Tokar	3
Yi Zhao	3
Lianzhu Zhang	3
Ping Yang	3
Douglas B. West	3
Michael Ferrara	3
Yuping Gao	3
Serguei Norine	3
Robin Thomas	3
Nana Li	2
Stijn Cambie	2
John R. Schmitt	2
Ringi Kim	2
Yoshimi Egawa	2
Xiao Dong Chen	2
Xuli Qi	2
Colton Magnant	2
András Gyárfás	2
Zhongshan Li	2
Qing Cui	2
Ingo Schiermeyer	2
Xiaoyun Lu	2
Paul Erdös	2
Frank J. Hall	2
Xiaofeng Gu	2

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	A note on Hamiltonian circuits	1972	Vašek Chvátal P. Erdős	14
+	SOME UNSOLVED PROBLEMS IN GRAPH THEORY	1968	V. G. Vizing	13
+	Edge‐coloring of multigraphs: Recoloring technique	1984	Mark Goldberg	10
+	On Hamiltonian bipartite graphs	1963	J. W. Moon Leo Moser	8
+	Maximum matching and a polyhedron with 0,1-vertices	1965	Jack Edmonds	8
+	Neighborhood unions and hamiltonian properties in graphs	1989	Ralph J. Faudree Ronald J. Gould Michael S. Jacobson R. H. Schelp	6
+	Hamiltonicity of edge chromatic critical graphs	2017	Guantao Chen Xiao Dong Chen Yue Zhao	6
+	Independent sets and 2‐factors in edge‐chromatic‐critical graphs	2003	Stefan Grünewald Eckhard Steffen	6
+	None	2004	Douglas C. Bauer T. Nießen E. Schmeichel	6
+	None	2007		6
+	On the $1.1$ Edge-Coloring of Multigraphs	1990	Takao Nishizeki Kenichi Kashiwagi	6
+	Graph edge colouring: Tashkinov trees and Goldberg's conjecture	2009	Diego Scheide	6
+	The Edge-Chromatic Class of Graphs with Maximum Degree at Least \|V\| – 3	1988	Amanda G. Chetwynd A. J. W. Hilton	5
+	Every Planar Graph with Maximum Degree 7 Is of Class 1	2000	Limin Zhang	5
+	On critical graphs with chromatic index 4	1974	Ivan Tafteberg Jakobsen	5
+	On the square of a Hamiltonian cycle in dense graphs	1996	J�nos Koml�s G�bor N. S�rk�zy Endre Szemer�di	5
+	The average degree of an edge‐chromatic critical graph II	2007	Douglas R. Woodall	5
+ PDF Chat	Colouring the Petals of a Graph	2003	David Cariolaro Gianfranco Cariolaro	5
+ PDF Chat	Approximating the chromatic index of multigraphs	2009	Guantao Chen Xingxing Yu Wenan Zang	5
+	Asymptotics of the Chromatic Index for Multigraphs	1996	Jeff Kahn	5
+	The independence number of an edge-chromatic critical graph	2010	Douglas R. Woodall	5
+ PDF Chat	On the average degree of edge chromatic critical graphs	2020	Yan Cao Guantao Chen	5
+	The chromatic index of a graph whose core has maximum degree two	1992	A. J. W. Hilton Zhao Cheng	5
+	Hamiltonian Square-Paths	1996	Genghua Fan H. A. Kierstead	4
+	Hamilton cycles in claw‐free graphs	1988	Cun‐Quan Zhang	4
+	Some remarks on the chromatic index of a graph	1973	Ivan Tafteberg Jakobsen	4
+	Some remarks on a paper by Vizing on critical graphs	1975	Stanley Fiorini	4
+	A new upper bound for the independence number of edge chromatic critical graphs	2010	Rong Luo Yue Zhao	4
+ PDF Chat	The Hilton--Zhao Conjecture is True for Graphs with Maximum Degree 4	2019	Daniel W. Cranston Landon Rabern	4
+ PDF Chat	Proof of the 1-factorization and Hamilton Decomposition Conjectures	2016	Béla Csaba Daniela Kühn Allan Lo Deryk Osthus Andrew Treglown	4
+	A note on Vizing's independence number conjecture of edge chromatic critical graphs	2006	Rong Luo Yue Zhao	4
+	Tough graphs and hamiltonian circuits	1973	Vašek Chvátal	4
+	Bounds for the Independence Number of Critical Graphs	2000	Gunnar Brinkmann S.A. Choudum Stefan Grünewald Eckhard Steffen	4
+	A generalization of Ore's Theorem involving neighborhood unions	1993	Hajo Broersma Jan van den Heuvel H.J. Veldman	4
+	Advances on the Hamiltonian Problem - A Survey	2003	Ronald J. Gould	4
+	One sufficient condition for hamiltonian graphs	1990	Guantao Chen	4
+	A Sufficient Condition for Edge Chromatic Critical Graphs to Be Hamiltonian—An Approach to Vizing's 2‐Factor Conjecture	2012	Rong Luo Yue Zhao	4
+	Perfect Matchings Versus Odd Cuts	2002	Zolt�n Szigeti	3
+ PDF Chat	The linear arboricity of graphs	1988	Noga Alon	3
+	None	2009	Rong Luo Lianying Miao Yue Zhao	3
+	Longest cycles in 3-connected planar graphs	1992	Bill Jackson Nicholas Wormald	3
+	On characterizing Vizing's edge colouring bound	2011	Penny Haxell Jessica McDonald	3
+	On the size of Edge-Chromatic critical graphs	1994	K. Kayathri	3
+	A further extension of Yap's construction for Δ-critical graphs	2002	Zi‐Xia Song	3
+	Convex Programming and Circumference of 3-Connected Graphs of Low Genus	1997	Zhicheng Gao Xingxing Yu	3
+	Lengths of cycles in halin graphs	1985	J. A. Bondy László Lovász	3
+	Bounds on the Size of Critical Edge-Chromatic Graphs.	1999	Dawit Haile	3
+	On a Family of Planar Bicritical Graphs	1975	László Lovász Michael D. Plummer	3
+	Matching structure and the matching lattice	1987	László Lovász	3
+	The Square of Paths and Cycles	1995	Genghua Fan H. A. Kierstead	3