Brian Alspach

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All published works

Action	Title	Year	Authors
+ PDF Chat	On the k-Spanning Cyclability of 4-Valent Cayley Graphs on Abelian Groups	2024	Brian Alspach Aditya Joshi
+	On the 2-spanning cyclability of honeycomb toroidal graphs	2024	Brian Alspach Aditya Joshi
+	Cubic factor-invariant graphs of cycle quotient type—The alternating case	2024	Brian Alspach Primož Šparl
+ PDF Chat	On the k-spanning cyclability of 4-valent Cayley graphs on Abelian groups	2024	Brian Alspach Aditya Joshi
+	Cubic factor-invariant graphs of cycle quotient type -- the alternating case	2023	Brian Alspach Primož Šparl
+	On The 2-Spanning Cyclability Of Honeycomb Toroidal Graphs	2023	Brian Alspach Aditya Joshi
+ PDF Chat	On factor-invariant graphs with two cycles	2022	Brian Alspach Ted Dobson Afsaneh Khodadadpour Primož Šparl
+ PDF Chat	On the chromatic index of generalized truncations	2022	Brian Alspach Aditya Joshi
+	On the chromatic index of generalized truncations	2021	Brian Alspach Aditya Joshi
+	On Factor-Invariant Graphs With Two Cycles	2021	Brian Alspach Ted Dobson Afsaneh Khodadadpour Primož Šparl
+	Corrigendum to “Cycle decompositions of K and K − I” [J. Combin. Theory Ser. B 81 (1) (2001) 77–99]	2020	Brian Alspach Heather Jordon
+	Some graph theoretical aspects of generalized truncations	2020	Brian Alspach Joshua B. Connor
+	Honeycomb Toroidal Graphs	2020	Brian Alspach
+ PDF Chat	Sequencing partial Steiner triple systems	2019	Brian Alspach Donald L. Kreher Adrián Pastine
+	Sequencing Partial Steiner Triple Systems	2019	Brian Alspach Donald L. Kreher Adrián Pastine
+	On factor-invariant graphs	2019	Brian Alspach Afsaneh Khodadadpour Donald L. Kreher
+	Sequencing Partial Steiner Triple Systems	2019	Brian Alspach Donald L. Kreher Adrián Pastine
+ PDF Chat	Pancyclicity and Cayley graphs on generalized dihedral groups	2016	Brian Alspach Alexander Muir
+ PDF Chat	On factorisations of complete graphs into circulant graphs and the Oberwolfach problem	2015	Brian Alspach Darryn Bryant Daniel Horsley Barbara Maenhaut Victor Scharaschkin
+ PDF Chat	On automorphism groups of graph truncations	2014	Brian Alspach Edward Dobson
+	On factorisations of complete graphs into circulant graphs and the Oberwolfach Problem	2014	Brian Alspach Darryn Bryant Daniel Horsley Barbara Maenhaut Victor Scharaschkin
+	On factorisations of complete graphs into circulant graphs and the Oberwolfach Problem	2014	Brian Alspach Darryn Bryant Daniel Horsley Barbara Maenhaut Victor Scharaschkin
+	Vertex‐Transitive Graphs of Prime‐Squared Order Are Hamilton‐Decomposable	2013	Brian Alspach Darryn Bryant Donald L. Kreher
+	Orthogonal projection and liftings of Hamilton-decomposable Cayley graphs on abelian groups	2013	Brian Alspach Cafer Çalışkan Donald L. Kreher
+	Paley graphs have Hamilton decompositions	2011	Brian Alspach Darryn Bryant Danny Dyer
+	Cayley graphs	2010	Brian Alspach
+ PDF Chat	Hamilton paths in Cayley graphs on generalized dihedral groups	2010	Brian Alspach C. C. Chen Matthew Dean
+	Honeycomb toroidal graphs are Cayley graphs	2009	Brian Alspach Matthew Dean
+	On the Hamilton connectivity of generalized Petersen graphs	2009	Brian Alspach Jiping Liu
+	Symmetries of Graphs and Networks	2009	Brian Alspach
+	Hamilton paths in vertex-transitive graphs	2008	Brian Alspach
+ PDF Chat	On isomorphic factorizations of circulant graphs	2005	Brian Alspach Danny Dyer Donald L. Kreher
+ PDF Chat	Suborbit Structure of Permutation <i>p</i>-Groups and an Application to Cayley Digraph Isomorphism	2004	Brian Alspach Shaofei Du
+	Enumeration of Cayley graphs and digraphs	2002	Brian Alspach Marni Mishna
+	Hamilton-Connected Cayley Graphs on Hamiltonian Groups	2001	Brian Alspach Yusheng Qin
+	Elementary Proofs thatZp2andZp3are CI-groups	1999	Brian Alspach Lewis A. Nowitz
+	Self-complementary circulant graphs.	1999	Brian Alspach Joy Morris V. Vilfred
+	1-factorizations of Cayley graphs on solvable groups	1998	Brian Alspach Margaret Morton Yusheng Qin
+	Isomorphism and Cayley graphs on abelian groups	1997	Brian Alspach
+	On a class of Hamiltonian laceable 3-regular graphs	1996	Brian Alspach C. C. Chen K Mcavaney
+	Nowhere-Zero 4-Flows and Cayley Graphs on Solvable Groups	1996	Brian Alspach Yiping Liu Cun‐Quan Zhang
+ PDF Chat	None	1996	Brian Alspach Marston Conder Dragan Marušič Mingyao Xu
+	Nonseparable graphs with a given number of cycles	1994	Ranko Šćepanović Gerhard Ringel Dragan Marušič Gek L. Chia Brian Alspach
+ PDF Chat	Graphs with the Circuit Cover Property	1994	Brian Alspach Luis Goddyn Cun‐Quan Zhang
+ PDF Chat	Constructing graphs which are ½-transitive	1994	Brian Alspach Dragan Marušič Lewis A. Nowitz
+ PDF Chat	None	1994	Brian Alspach Mingyao Xu
+	Even cycle decompositions of complete graphs minus a 1‐factor	1994	Brian Alspach Susan Marshall
+	Cycle covers of cubic multigraphs	1993	Brian Alspach Cun‐Quan Zhang
+	An Introduction to Combinatorics (Alan Slomson)	1992	Brian Alspach
+	Cayley graphs with optimal fault tolerance	1992	Brian Alspach
+	Characterization of a class of triangle‐free graphs with a certain adjacency property	1991	Brian Alspach C. C. Chen Katherine Heinrich
+	The hamilton spaces of cayley graphs on abelian groups	1990	Brian Alspach Stephen C. Locke Dave Witte
+ PDF Chat	A note on Hamilton cycles in block-intersection graphs	1990	Brian Alspach Katherine Heinrich Bojan Mohar
+	Paths and cycles in matroid base graphs	1989	Brian Alspach Guizhen Liu
+	The Oberwolfach problem and factors of uniform odd length cycles	1989	Brian Alspach P. J. Schellenberg Douglas R. Stinson David G. Wagner
+	Hamilton Cycles in Metacirculant Graphs with Prime Power Cardinal Blocks	1988	Brian Alspach
+	On Hamilton decompositions of prisms over simple 3-polytopes	1986	Brian Alspach Moshe Rosenfeld
+	Some observations on the oberwolfach problem	1985	Brian Alspach Roland Häggkvist
+	Hamilton Cycles in Metacirculant Graphs with Prime Cardinality Blocks	1985	Brian Alspach Erich Durnberger T. D. Parsons
+	The classification of hamiltonian generalized Petersen graphs	1983	Brian Alspach
+ PDF Chat	A Construction for Vertex-Transitive Graphs	1982	Brian Alspach T. D. Parsons
+	On Hamiltonian Cycles in Metacirculant Graphs	1982	Brian Alspach T. D. Parsons
+	A result on Hamiltonian cycles in generalized Petersen graphs	1981	Brian Alspach Peter J. Robinson Moshe Rosenfeld
+	Edge partitions of the complete symmetric directed graph and related designs	1981	Brian Alspach Katherine Heinrich Moshe Rosenfeld
+	Perfect Magic Cubes of Order 4 <i>m</i>	1981	Brian Alspach Katherine Heinrich
+ PDF Chat	Decompositions of complete symmetric digraphs into the oriented pentagons	1979	Brian Alspach Katherine Heinrich Badri N. Varma
+	GRAPHS AND PERMUTATION GROUPS WHOSE TRANSITIVE CONSTITUENTS HAVE PRIME DEGREE*	1979	Brian Alspach
+	Isomorphism of circulant graphs and digraphs	1979	Brian Alspach T. D. Parsons
+	Degree frequencies in digraphs and tournaments	1978	Brian Alspach K. B. Reid
+	On the Density of Sets Containing No <i>k</i> -Element Arithmetic Progression of a Certain Kind	1976	Brian Alspach Tom C. Brown Pavol Hell
+	Bypasses in asymmetric digraphs	1974	Brian Alspach K. B. Reid David P. Roselle
+	Point-symmetric graphs and digraphs of prime order and transitive permutation groups of prime degree	1973	Brian Alspach
+ PDF Chat	On the Determination of the Maximum Order of the Group of a Tournament	1973	Brian Alspach J. L. Berggren
+ PDF Chat	On Point-Symmetric Tournaments	1970	Brian Alspach
+ PDF Chat	A Combinatorial Proof of a Conjecture of Goldberg and Moon	1968	Brian Alspach

Common Coauthors

Coauthor	Papers Together
Donald L. Kreher	7
Aditya Joshi	5
Katherine Heinrich	5
Darryn Bryant	5
Primož Šparl	4
T. D. Parsons	4
Daniel Horsley	3
Dragan Marušič	3
Victor Scharaschkin	3
Barbara Maenhaut	3
Moshe Rosenfeld	3
Adrián Pastine	3
Afsaneh Khodadadpour	3
Cun‐Quan Zhang	3
Ted Dobson	2
Lewis A. Nowitz	2
K. B. Reid	2
Danny Dyer	2
Mingyao Xu	2
Yusheng Qin	2
Matthew Dean	2
C. C. Chen	1
Pavol Hell	1
C. C. Chen	1
Marni Mishna	1
P. J. Schellenberg	1
Alexander Muir	1
Ranko Šćepanović	1
Yiping Liu	1
Guizhen Liu	1
Peter J. Robinson	1
Jiping Liu	1
David G. Wagner	1
J. L. Berggren	1
V. Vilfred	1
Gek L. Chia	1
Tom C. Brown	1
Heather Jordon	1
Aditya Joshi	1
Margaret Morton	1
Gerhard Ringel	1
Bojan Mohar	1
Shaofei Du	1
Dave Witte	1
Joy Morris	1
Cafer Çalışkan	1
Luis Goddyn	1
C. C. Chen	1
Roland Häggkvist	1
Douglas R. Stinson	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	Point-symmetric graphs with a prime number of points	1967	James Turner	9
+ PDF Chat	Finite Permutation Groups	1964		6
+	Finite Permutation Groups.	1966	Franklin Haimo Helmut Wielandt	6
+ PDF Chat	A Construction for Vertex-Transitive Graphs	1982	Brian Alspach T. D. Parsons	6
+	Hamiltonian cycles in generalized petersen graphs	1978	Kozo Bannai	5
+	Graphs with circulant adjacency matrices	1970	B. Elspas James Turner	4
+	Algebraic Graph Theory	1974	Norman Biggs	4
+	On a class of Hamiltonian laceable 3-regular graphs	1996	Brian Alspach C. C. Chen K Mcavaney	4
+ PDF Chat	An algebraic characterization of symmetric graphs with a prime number of vertices	1972	J. L. Berggren	4
+	Hamiltonian decomposition of Cayley graphs of degree 4	1989	J.-C. Bermond Odile Favaron Maryvonne Mahéo	4
+	Honeycomb toroidal graphs are Cayley graphs	2009	Brian Alspach Matthew Dean	4
+	The Magma Algebra System I: The User Language	1997	Wieb Bosma John Cannon Catherine Playoust	3
+	Self-complementary circulant graphs.	1999	Brian Alspach Joy Morris V. Vilfred	3
+	On vertex symmetric digraphs	1981	Dragan Marušič	3
+	The groups of the generalized Petersen graphs	1971	Roberto Frucht Jack E. Graver Mark E. Watkins	3
+	Hamiltonian circuits in some maps on the torus	1972	Amos Altshuler	3
+	Point-symmetric graphs and digraphs of prime order and transitive permutation groups of prime degree	1973	Brian Alspach	3
+	Isomorphism problem for Cayley graphs of Zp3	1995	Edward Dobson	3
+	A non-Cayley-invariant Cayley graph of the elementary Abelian group of order 64	1992	Lewis A. Nowitz	3
+	On 1-factorizability of Cayley graphs	1985	Richard Stong	3
+ PDF Chat	On a class of fixed-point-free graphs	1958	Gert Sabidussi	3
+	Honeycomb Toroidal Graphs	2020	Brian Alspach	3
+ PDF Chat	Combinatorial Mathematics VIII	1981		3
+ PDF Chat	Variations on the Hamiltonian Theme	1972	J. A. Bondy	3
+ PDF Chat	On the Maximum Order of the Group of a Tournament	1966	Myron Goldberg J. W. Moon	3
+	6-regular Cayley graphs on abelian groups of odd order are hamiltonian decomposable	2009	Erik E. Westlund Jiuqiang Liu Donald L. Kreher	3
+	Connectivity in Graphs	1966	W. T. Tutte	3
+	Some observations on the oberwolfach problem	1985	Brian Alspach Roland Häggkvist	3
+	The Oberwolfach problem and factors of uniform odd length cycles	1989	Brian Alspach P. J. Schellenberg Douglas R. Stinson David G. Wagner	2
+	Hamiltonian circuits in Cayley graphs	1983	Dragan Marušič	2
+ PDF Chat	Tournaments With a Given Automorphism Group	1964	J. W. Moon	2
+	Hamilton cycle decomposition of 6‐regular circulants of odd order	2006	Matthew Dean	2
+ PDF Chat	Generalized packing designs	2011	Robert F. Bailey Andrea C. Burgess	2
+	Transversals and matroid partition	1965	Jack Edmonds D.R. Fulkerso	2
+	Common circulant homogeneous factorisations of the complete digraph	2008	Cheryl E. Praeger Cai Heng Li Linda Stringer	2
+	Isomorphisms of Cayley graphs. II	1979	László Babai Péter Frankl	2
+	The Transitive Graphs with at Most 26 Vertices	1990	Brendan D. McKay Gordon Royle	2
+ PDF Chat	The Maximum Order of the Group of a Tournament	1967	John D. Dixon	2
+	The isomorphism problem for Cayley digraphs on groups of prime-squared order	1995	Anne M. Joseph	2
+	A Classical Introduction to Modern Number Theory	1982	Kenneth Ireland Michael Rosen	2
+	Decomposition de la somme cartesienne d'un cycle et de l'union de deux cycles hamiltoniens en cycles hamiltoniens	1982	Jacques Aubert Bernadette Schneider	2
+	Hamiltonian decompositions of Cayley graphs on abelian groups of even order	2003	Jiuqiang Liu	2
+	Hamilton-Connected Cayley Graphs on Hamiltonian Groups	2001	Brian Alspach Yusheng Qin	2
+	Hamiltonian decompositions of Cayley graphs on Abelian groups	1994	Jiuqiang Liu	2
+	A packing problem its application to Bose's families	1996	Marco Buratti	2
+	Flows and generalized coloring theorems in graphs	1979	F. M. Jaeger	2
+ PDF Chat	On the classification of symmetric graphs with a prime number of vertices	1971	Chong-Yun Chao	2
+	Some results on the Oberwolfach problem	1975	Pavol Hell Anton Kotzig Alexander Rosa	2
+	On a variation of the Oberwolfach problem	1979	Charlotte Huang Anton Kotzig Alexander Rosa	2
+	Which generalized petersen graphs are cayley graphs?	1995	Roman Nedela Martin Škoviera	2