Author Description

Login to generate an author description

Ask a Question About This Mathematician

All published works (31)

Action Title Date Authors
+
The multicolor star-critical Gallai-Ramsey number for a path of order 6 2025-03-06 Mark Budden Monu Moun Jagjeet Jakhar
Lower Bounds for Multicolor Star-Critical Ramsey Numbers 2024-06-30 Mark Budden Yash Shamsundar Khobragade Siddhartha Sarkar
Rainbow Numbers for the Generalized Schur Equation $x_1 + x_2 + \cdots + x_{m-1} = x_m$ 2024-01-01 Mark Budden Bruce Landman
+
The multicolor star-critical Gallai-Ramsey number for a path of order 5 2023-10-17 Mark Budden
Ramsey Numbers for Connected 2-Colorings of Complete Graphs 2023-01-01 Mark Budden
+
Star-Critical Ramsey Numbers for Graphs 2023-01-01 Mark Budden
+
Star-Critical Ramsey Numbers Involving Various Graphs 2023-01-01 Mark Budden
+
Introduction to Multicolor Star-Critical Ramsey Numbers 2023-01-01 Mark Budden
+
Directions for Future Research and Summary of Known Values 2023-01-01 Mark Budden
+
Generalizations of Star-Critical Ramsey Numbers 2023-01-01 Mark Budden
Star-critical Gallai-Ramsey numbers involving the disjoint union of triangles 2022-10-10 Mark Budden Zoulaiha Daouda
The Gallai–Ramsey number for a tree versus complete graphs 2022-04-19 Mark Budden
Multicolor star-critical Ramsey numbers and Ramsey-good graphs 2022-03-20 Mark Budden Elijah DeJonge
Anti-Ramsey Hypergraph Numbers 2021-10-16 Mark Budden William B. Stiles
Schur numbers involving rainbow colorings 2020-07-17 Mark Budden
Algebraic Properties of a Hypergraph Lifting Map 2020-01-01 Mark Budden Josh Hiller Tommy Meek Andrew Penland
Minimally Connected Hypergraphs 2019-01-14 Mark Budden Josh Hiller Andrew Penland
Constructive Methods in Gallai-Ramsey Theory for Hypergraphs 2019-01-01 Mark Budden Joshua Hiller Andrew Penland
+
Destroying the Ramsey property by the removal of edges. 2019-01-01 Mark Budden Elijah DeJonge
Minimally Connected Hypergraphs 2019-01-01 Mark Budden Josh Hiller Andrew Penland
+
Weakened Gallai-Ramsey numbers 2018-08-01 Gabrielle Beam Mark Budden
Trees and $n$-Good Hypergraphs 2017-01-01 Mark Budden Andrew Penland
+
Weakened Ramsey Numbers and Their Hypergraph Analogues. 2017-01-01 Mark Budden Matthew Stender Yanbo Zhang
The lifting of graphs to 3-uniform hypergraphs and some applications to hypergraph Ramsey theory 2016-10-19 Mark Budden Josh Hiller Joshua Lambert Chris Sanford
Character difference digraphs over finite fields 2015-06-01 Risto Atanasov Mark Budden Joshua Lambert
+
Generalized Ramsey theorems for r-uniform hypergraphs. 2015-01-01 Mark Budden Josh Hiller Aaron Rapp
+
DIRICHLET CHARACTER DIFFERENCE GRAPHS 2013-01-01 Mark Budden Nicole Calkins William Nathan Hack Joshua Lambert Kimberly Thompson
+
Enumeration of Triangles in Quartic Residue Graphs 2011-08-16 Mark Budden Nicole Calkins William Nathan Hack Joshua Lambert Kimberly Thompson
Characteristic count rate profiles for a rotating modulator gamma-ray imager 2011-04-26 Brent Budden Mark Budden G. L. Case M. L. Cherry
Rational residuacity of primes 2010-10-16 Mark Budden Alex Collins Kristin Ellis Lea Stephen Savioli
A generalization of Scholz’s reciprocity law 2007-01-01 Mark Budden Jeremiah Eisenmenger Jonathan Kish

Commonly Cited References

Action Title Date Authors # of times referenced
+
Tree‐complete graph ramsey numbers 1977-03-01 Vašek Chvátal 7
+
Star-critical Ramsey numbers 2010-12-29 Jonelle Hook Garth Isaak 6
+
Topics in Gallai-Ramsey Theory 2020-01-01 Colton Magnant Pouria Salehi Nowbandegani 5
+
Ramsey numbers in rainbow triangle free colorings. 2010-01-01 Ralph J. Faudree Ronald J. Gould Michael S. Jacobson Colton Magnant 5
+
Generalized Ramsey theorems for r-uniform hypergraphs. 2015-01-01 Mark Budden Josh Hiller Aaron Rapp 5
+
On star-critical and upper size Ramsey numbers 2015-09-13 Yanbo Zhang Hajo Broersma Yaojun Chen 5
+
Edge-colored complete graphs with precisely colored subgraphs 1983-09-01 Fan Chung R. L. Graham 4
+
Ramsey Numbers Involving Graphs with Long Suspended Paths 1981-12-01 Stefan Burr 4
+
Critical graphs for R(P_n,P_m) and the star-critical Ramsey number for paths 2015-01-01 Jonelle Hook 4
Combinatorial Relations and Chromatic Graphs 1955-01-01 Robert E. Greenwood Andrew M. Gleason 4
+
Some star-critical Ramsey numbers 2014-10-09 Zhen Li Yusheng Li 4
Multicolor star-critical Ramsey numbers and Ramsey-good graphs 2022-03-20 Mark Budden Elijah DeJonge 4
Edge colorings of complete graphs without tricolored triangles 2004-04-05 András Gyárfás Gábor Simony 4
+
Star-critical Ramsey numbers involving graphs with long suspended paths 2020-11-24 Ye Wang Yusheng Li Yan Li 3
+
Maximum star deleted from Ramsey graphs of book and tree 2020-05-22 Ye Wang Yusheng Li Yan Li 3
Star-Critical Gallai–Ramsey Numbers of Graphs 2022-09-12 Xueli Su Yan Liu 3
Generalizations of a Ramsey‐theoretic result of chvátal 1983-03-01 Stefan Burr Paul Erdős 3
+
Ramsey number of <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="mml1" display="inline" overflow="scroll" altimg="si1.gif"><mml:msub><mml:mrow><mml:mi>K</mml:mi></mml:mrow><mml:mrow><mml:mn>3</mml:mn></mml:mrow></mml:msub></mml:math> versus <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="mml2" display="inline" overflow="scroll" altimg="si2.gif"><mml:msub><mml:mrow><mml:mi>F</mml:mi></mml:mrow><mml:mrow><mml:mn>3</mml:mn><mml:mo>,</mml:mo><mml:mi>n</mml:mi></mml:mrow></… 2018-10-09 Yiyuan Hao Qizhong Lin 3
On cycle—Complete graph ramsey numbers 1978-03-01 Paul Erdős Ralph J. Faudree Cecil Rousseau R. H. Schelp 3
+
Star-critical Ramsey number of <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si12.gif" display="inline" overflow="scroll"><mml:msub><mml:mrow><mml:mi>F</mml:mi></mml:mrow><mml:mrow><mml:mi>n</mml:mi></mml:mrow></mml:msub></mml:math> versus <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si13.gif" display="inline" overflow="scroll"><mml:msub><mml:mrow><mml:mi>K</mml:mi></mml:mrow><mml:mrow><mml:mn>4</mml:mn></mml:mrow></mml:msub></mml:math> 2016-09-22 Sh. Haghi Hamid Reza Maimani Abbas Seify 3
+
The size Ramsey number 1978-03-01 Péter L. Erdős Ralph J. Faudree Cecil Rousseau R. H. Schelp 3
+
Minimal Ramsey graphs on deleting stars for generalized fans and books 2020-01-08 Yan Li Yusheng Li Ye Wang 3
+
Wheel and star-critical Ramsey numbers for quadrilateral 2015-01-29 Yali Wu Yongqi Sun Stanisław Radziszowski 3
Generalized Ramsey theory for graphs 1972-01-01 Václav Chvátal Frank Harary 3
+
Gallai–Ramsey numbers for multiple triangles 2021-04-19 Fangfang Zhang Xiutao Zhu Yaojun Chen 3
+
Star-Critical Ramsey Numbers Involving Large Generalized Fans 2022-08-01 Yan Li Yusheng Li Ye Wang 3
+
A Classical Introduction to Modern Number Theory 1982-01-01 Kenneth Ireland Michael Rosen 3
+
Star-critical Ramsey numbers for cycles versus K_4 2018-12-16 Chula J. Jayawardene David E. Narváez Stanisław Radziszowski 3
+
On the Ramsey multiplicity for stars 1982-01-01 Michael S. Jacobson 2
On characterizing the critical graphs for matching Ramsey numbers 2020-08-11 Chuandong Xu Hongna Yang Shenggui Zhang 2
+
Algebraic Number Fields 1995-12-05 Gerald Janusz 2
Deleting Edges from Ramsey Minimal Examples 2015-01-01 Cowen 2
+
Deleting edges from Ramsey graphs 2019-11-27 Ye Wang Yusheng Li 2
+
Lower bounds of Ramsey numbers based on cubic residues 2002-05-01 Wenlong Su Qiao Li Haipeng Luo Guiqing Li 2
Ramsey theorems for multiple copies of graphs 1975-01-01 Stefan Burr Péter L. Erdős J. Spencer 2
Constructive Methods in Gallai-Ramsey Theory for Hypergraphs 2019-01-01 Mark Budden Joshua Hiller Andrew Penland 2
Rational quartic reciprocity 1994-01-01 Franz Lemmermeyer 2
+
Star-critical Ramsey number of large cycle and book of different orders 2021-03-13 Yan Li Yusheng Li Ye Wang 2
Trees and $n$-Good Hypergraphs 2017-01-01 Mark Budden Andrew Penland 2
The lifting of graphs to 3-uniform hypergraphs and some applications to hypergraph Ramsey theory 2016-10-19 Mark Budden Josh Hiller Joshua Lambert Chris Sanford 2
+
Star-critical Ramsey numbers for large generalized fans and books 2018-09-18 Yiyuan Hao Qizhong Lin 2
+
Generalised Ramsey numbers for small graphs 1974-09-01 Robert W. Irving 2
+
Generalized ramsey theory for graphs - a survey 1974-01-01 Stefan Burr 2
+
A note on the Ramsey number of stars — Complete graphs 2011-02-16 G.R. Omidi Ghaffar Raeisi 2
+
Enumeration of Triangles in Quartic Residue Graphs 2011-08-16 Mark Budden Nicole Calkins William Nathan Hack Joshua Lambert Kimberly Thompson 2
On generalised Paley graphs and their automorphism groups 2009-05-01 Tian Khoon Kim Cheryl E. Praeger 2
Constructive Lower Bounds on Classical Multicolor Ramsey Numbers 2004-06-04 Xiaodong Xu Zheng Xie Geoffrey Exoo Stanisław Radziszowski 2
+
Classical Theory of Algebraic Numbers 2001-01-01 Paulo Ribenboim 2
Generalized Ramsey theory for graphs. III. Small off-diagonal numbers 1972-05-01 Václav Chvátal Frank Harary 2
+
The first classical Ramsey number for hypergraphs is computed 1991-03-01 Brendan D. McKay Stanisław Radziszowski 2