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COMBINATORICS
2006
144views more  COMBINATORICS 2006»
14 years 11 months ago
Weighted Zeta Functions of Graph Coverings
We present a decomposition formula for the weighted zeta function of an irregular covering of a graph by its weighted L-functions. Moreover, we give a factorization of the weighte...
Iwao Sato
DM
2008
89views more  DM 2008»
14 years 11 months ago
Primitive 2-factorizations of the complete graph
Let F be a 2-factorization of the complete graph Kv admitting an automorphism group G acting primitively on the set of vertices. If F consists of Hamiltonian cycles, then F is the...
Giuseppe Mazzuoccolo
GC
2010
Springer
14 years 9 months ago
Cycle Lengths in Hamiltonian Graphs with a Pair of Vertices Having Large Degree Sum
A graph of order n is said to be pancyclic if it contains cycles of all lengths from three to n. Let G be a hamiltonian graph and let x and y be vertices of G that are consecutive ...
Michael Ferrara, Michael S. Jacobson, Angela Harri...
ENDM
2002
113views more  ENDM 2002»
14 years 11 months ago
On robust cycle bases
Two types of robust cycle bases are defined via recursively nice arrangements; complete and bipartite complete graphs are shown to have such bases. It is shown that a diagram in a...
Paul C. Kainen
DM
2007
116views more  DM 2007»
14 years 11 months ago
The Ramsey numbers for a cycle of length six or seven versus a clique of order seven
: For two given graphs G1 and G2, the Ramsey number R(G1, G2) is the smallest integer n such that for any graph G of order n, either G contains G1 or the complement of G contains G...
T. C. Edwin Cheng, Yaojun Chen, Yunqing Zhang, C. ...