Brian Alspach

Q: What Schools Are Affiliated With Brian Alspach

Brian Alspach is affiliated with the following schools: Simon Fraser University, University of California, Santa Barbara, University of Newcastle

Brian Alspach's AcademicInfluence.com Rankings

Brian Alspach

Mathematics

#3870

World Rank

#5608

Historical Rank

#1388

USA Rank

Measure Theory

#3201

World Rank

#3789

Historical Rank

#926

USA Rank

mathematics Degrees

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Mathematics

Why Is Brian Alspach Influential?

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According to Wikipedia, Brian Roger Alspach is a mathematician whose main research interest is in graph theory. Alspach has also studied the mathematics behind poker, and writes for Poker Digest and Canadian Poker Player magazines.

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Brian Alspach's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

Cycle Decompositions of Kn and Kn-I (2001) (264)
SEARCHING AND SWEEPING GRAPHS: A BRIEF SURVEY (2006) (178)
Decomposition into Cycles I: Hamilton Decompositions (1990) (158)
Isomorphism of circulant graphs and digraphs (1979) (136)
The Oberwolfach problem and factors of uniform odd length cycles (1989) (133)
Cycles in graphs (1985) (113)
A Construction for Vertex-Transitive Graphs (1982) (112)
The classification of hamiltonian generalized Petersen graphs (1983) (99)
Constructing graphs which are ½-transitive (1994) (89)
Graphs with the circuit cover property (1994) (81)
Sweeping graphs with large clique number (2004) (76)
Point-symmetric graphs and digraphs of prime order and transitive permutation groups of prime degree☆ (1973) (75)
A Classification of 2-Arc-Transitive Circulants (1996) (72)
Cycles of Each Length in Regular Tournaments (1967) (71)
Some observations on the oberwolfach problem (1985) (65)
1/2-Transitive Graphs of Order 3p (1994) (62)
VERTEX‐TRANSITIVE GRAPHS OF ORDER 2p (1979) (60)
Lifting Hamilton cycles of quotient graphs (1989) (57)
Cycle decompositions IV: complete directed graphs and fixed length directed cycles (2003) (53)
Edge-pancyclic block-intersection graphs (1991) (49)
Cayley Graphs with Optimal Fault Tolerance (1992) (36)
Self-complementary circulant graphs (1999) (34)
Isomorphism and Cayley graphs on abelian groups (1997) (33)
Hamilton-Connected Cayley Graphs on Hamiltonian Groups (2001) (33)
The hamilton spaces of cayley graphs on abelian groups (1990) (33)
On a class of Hamiltonian laceable 3-regular graphs (1996) (26)
Johnson graphs are Hamilton-connected (2012) (26)
Cycle covers of cubic multigraphs (1993) (25)
Hamilton paths in Cayley graphs on generalized dihedral groups (2010) (24)
On Point-Symmetric Tournaments (1970) (23)
Honeycomb toroidal graphs are Cayley graphs (2009) (21)
Nowhere-Zero 4-Flows and Cayley Graphs on Solvable Groups (1996) (21)
Paths and cycles in matroid base graphs (1989) (21)
The search for long paths and cycles in vertex-transitive graphs and digraphs (1981) (21)
Realization of certain generalized paths in tournaments (1981) (19)
Path decompositions of digraphs (1974) (19)
On the Hamilton connectivity of generalized Petersen graphs (2009) (19)
On Hamiltonian Cycles in Metacirculant Graphs (1982) (19)
Decomposing Complete Graphs Into Cycles of Length 2P (1980) (18)
Edge partitions of the complete symmetric directed graph and related designs (1981) (18)
Bypasses in asymmetric digraphs (1974) (17)
Algorithmic aspects of combinatorics (1978) (17)
On strongly sequenceable abelian groups (2020) (17)
Research Problems (1984) (16)
Even cycle decompositions of complete graphs minus a 1-factor (1994) (15)
A lower-bound for the number of productions required for a certain class of languages (1983) (15)
Paley graphs have Hamilton decompositions (2012) (14)
Lower Bounds on Edge Searching (2007) (13)
Hamilton Cycles in Metacirculant Graphs with Prime Power Cardinal Blocks (1988) (13)
A 1-factorization of the line graphs of complete graphs (1982) (13)
Elementary Proofs that Z 2 p and Z 3 p are CI-groups (1999) (13)
Path numbers of tournaments (1976) (13)
Hamilton Cycles in Metacirculant Graphs with Prime Cardinality Blocks (1985) (13)
A result on Hamiltonian cycles in generalized Petersen graphs (1981) (13)
The Friedlander-Gordon-Miller conjecture is true (2017) (12)
Characterization of a class of triangle-free graphs with a certain adjacency property (1991) (12)
On Hamilton decompositions of prisms over simple 3-polytopes (1986) (11)
A Note on the Number of 4-Circuits in a Tournament (1982) (10)
A Combinatorial Proof of a Conjecture of Goldberg and Moon (1968) (9)
Elementary Proofs that Zp2 and Zp3 are CI-groups (1999) (9)
Enumeration of Cayley graphs and digraph (2002) (8)
On embedding triangle-free graphs in unit spheres (1977) (8)
Time constrained graph searching (2008) (7)
On isomorphic factorizations of circulant graphs (2006) (7)
On automorphism groups of graph truncations (2014) (7)
Arc Searching Digraphs Without Jumping (2007) (7)
Sequencing partial Steiner triple systems (2019) (6)
Matching designs (1990) (6)
Enumeration of structural isomers in alicyclic hydrocarbons and in porphyrins (1977) (6)
On factorisations of complete graphs into circulant graphs and the Oberwolfach problem (2014) (5)
Pancyclicity and Cayley Graphs on Abelian Groups (2013) (5)
On the Density of Sets Containing No k-Element Arithmetic Progression of a Certain Kind (1976) (5)
Circuit Double Cover of Graphs: Foreword (2012) (5)
Decompositions of complete symmetric digraphs into the oriented pentagons (1979) (5)
Mutually disjoint families of 0-1 sequences (1975) (5)
The Group of the Composition of two Tournaments (1968) (5)
Vertex‐Transitive Graphs of Prime‐Squared Order Are Hamilton‐Decomposable (2014) (4)
Degree frequencies in digraphs and tournaments (1978) (4)
Hamilton paths in Cayley graphs on Coxeter groups: I (2014) (4)
Variations on the Sequenceable Theme (2019) (4)
Honeycomb Toroidal Graphs (2020) (3)
Algebraic Graph Theory (2003) (3)
On factor-invariant graphs (2019) (2)
GRAPHS AND PERMUTATION GROUPS WHOSE TRANSITIVE CONSTITUENTS HAVE PRIME DEGREE * (1979) (2)
Searching Graphs with Large Clique Number (2006) (2)
On the Determination of the Maximum Order of the Group of a Tournament (1973) (2)
Perfect Magic Cubes of Order 4 M (2010) (2)
Suborbit Structure of Permutation $p$ -Groups and an Application to Cayley Digraph Isomorphism (2004) (2)
One-Factorizations of Tensor Products of Graphs (1990) (2)
Nonseparable graphs with a given number of cycles (1994) (1)
Some graph theoretical aspects of generalized truncations (2020) (1)
With Volume 36 of Discrete Mathematics, a Research Problem Section has been established. Problems in this section are intended to be research level problems rather than standard exercises. People wishing to submit such problems should send them (in duplicate) to: (1984) (1)
Orthogonal projection and liftings of Hamilton-decomposable Cayley graphs on abelian groups (2013) (1)
Pancyclicity and Cayley graphs on generalized dihedral groups (2016) (1)
Cycle Spectrum for Honeycomb Toroidal Graphs (2017) (0)
Small 2-coloured path decompositions (2012) (0)
An Introduction to Combinatorics (Alan Slomson) (1992) (0)
On the Hamiltonian Laceability of Honeycomb Toroidal Graphs (2017) (0)
On factor-invariant graphs with two cycles (2021) (0)
Introductory Combinatorics (Kenneth P. Bogart) (1985) (0)
Corrigendum to "Cycle decompositions of Kn and Kn - I" [J. Combin. Theory Ser. B 81 (1) (2001) 77-99] (2021) (0)
1-factorizations of Cayley graphs on solvable groups (1998) (0)
Path And Cycle Decompositions (2014) (0)
Adapting Search Theory to Networks (2001) (0)
Enumeration ofCayley graphs and digraphs (2002) (0)
Chapter 3 Adapting Search Theory to Networks (2008) (0)
Tropical Graphs : the Dot-product Representation ’ s Ascent Into Paradise (2014) (0)
Symmetries of Graphs and Networks (2009) (0)
On the chromatic index of generalized truncations (2021) (0)
ISOMORPHISM OF CIRCUL~ GRAPHS AND DIGRAPHS* (1979) (0)
Hamilton paths in vertex-transitive graphs (2008) (0)

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Other Resources About Brian Alspach

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What Schools Are Affiliated With Brian Alspach?

Brian Alspach is affiliated with the following schools: