The Oberwolfach problem and factors of uniform odd length cycles

Brian Alspach, P. J. Schellenberg, Douglas R. Stinson, David G. Wagner

Type: Article

Publication Date: 1989-09-01

Citations: 140

DOI: https://doi.org/10.1016/0097-3165(89)90059-9

View Publication

Locations

Journal of Combinatorial Theory Series A - View

Similar Works

Action	Title	Year	Authors
+	Cycle factorizations of powers of odd cycles	1999	S. El‐Zanati Charles Vanden Eynden
+	Odd and Even Factors of Graphs with Given Properties	1991	Ciping Chen 幹雄加納
+	Rainbow Turán problem for even cycles	2013	Shagnik Das Choongbum Lee Benny Sudakov
+	Odd factors of a graph	1993	Jerzy Topp Preben Dahl Vestergaard
+	On the Oberwolfach Problem with Two Similar Length Cycles	2001	Darryn Bryant
+	$$(1,f)$$ ( 1 , f ) -Factors of Graphs with Odd Property	2015	Yoshimi Egawa Mikio Kanō Zheng Yan
+	Induced claws and existence of even factors of graphs	2016	Shengmei Lv Liming Xiong Guifu Su Ning Zhao
+	Near 2-factorizations of 2K n : Cycles of even length	1989	James Perkins Burling Katherine Heinrich
+	Two sufficient conditions for odd [1,b]-factors in graphs	2022	Sizhong Zhou Hongxia Liu
+	Uniformly Resolvable Cycle Decompositions with Four Different Factors	2017	Uğur Odabaşı Sibel Özkan
+	Injective hulls of odd cycles	2013	Ruedi Suter
+	Chromatic numbers of the strong product of odd cycles	2006	Janez Žerovnik
+	Ramsey numbers of a fixed odd-cycle and generalized books and fans	2016	Meng Liu Yusheng Li
+	Spectral Turán problems for intersecting even cycles	2023	Dheer Noal Desai
+	Non-separating 2-factors of an even-regular graph	2007	Yusuke Higuchi Yuji Nomura
+	Long cycles in graph containing a 2-factor with many odd components	1992	J.P.M. van den Heuvel
+	On Alspach's conjecture with two even cycle lengths	2000	Peter D. Adams Darryn Bryant Abdollah Khodkar
+	SOME RESULTS ON THE OBERWOLFACH PROBLEM	2001	A. J. W. Hilton Matthew Johnson
+	ON THE NUMBER OF NON-EQUIVALENT ODD 1-FACTORS OF A COMPLETE GRAPH	2004	Osamu Nakamura
+	Antimagic graphs with even factors	2015	Tao Wang Wenjing Miao Deming Li

Works That Cite This (108)

Action	Title	Year	Authors
+	Resolvable h-sun designs	2015	Mario Gionfriddo Giovanni Lo Faro Salvatore Milici Antoinette Tripodi
+	Constructing uniform 2-factorizations via row-sum matrices: Solutions to the Hamilton-Waterloo problem	2023	Andrea C. Burgess P. Danziger Adrián Pastine Tommaso Traetta
+ PDF Chat	A Generalization of the Hamilton–Waterloo Problem on Complete Equipartite Graphs	2017	Melissa Keranen Adrián Pastine
+ PDF Chat	A survey on the existence of<i>G</i>‐Designs	2007	Peter D. Adams Darryn Bryant Melinda Buchanan
+	The Hamilton—Waterloo problem: The case of triangle‐factors and one Hamilton cycle	2008	Jeffrey H. Dinitz Alan C. H. Ling
+	A Complete Solution to the Existence of (k,λ)-Cycle Frames of Type gu	2016	Marco Buratti H. Cao Dan Dai Tommaso Traetta
+	On the Hamilton-Waterloo Problem with triangle factors and $C_{3x}$-factors	2015	John Asplund David C. Kamin Melissa Keranen Adrián Pastine Sibel Özkan
+	Resolvable even‐cycle systems with a 1‐rotational automorphism	2003	Miwako Mishima Hung‐Lin Fu
+	On the directed Oberwolfach Problem with equal cycle lengths: the odd case	2017	Andrea C. Burgess Nevena Francetić Mateja Šajna
+	The directed almost resolvable Hamilton-Waterloo problem.	1998	Italo J. Dejter David A. Pike Christopher A. Rodger

Works Cited by This (6)

Action	Title	Year	Authors
+	Some results on the Oberwolfach problem	1975	Pavol Hell Anton Kotzig Alexander Rosa
+	Resolvable group divisible designs with block size 3	1989	Ahmed M. Assaf Alan Hartman
+	Some observations on the oberwolfach problem	1985	Brian Alspach Roland Häggkvist
+	On a variation of the Oberwolfach problem	1979	Charlotte Huang Anton Kotzig Alexander Rosa
+	Three Orthogonal Latin Squares	1986	W. D. Wallis
+	Solution of Kirkman’s schoolgirl problem	1971	D.K. Ray-Chaudhuri Richard M. Wilson