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» Cycle lengths in sparse graphs
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DM
2007
116views more  DM 2007»
13 years 10 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. ...
JGT
2010
135views more  JGT 2010»
13 years 9 months ago
Cycle length parities and the chromatic number
In 1966 Erd˝os and Hajnal proved that the chromatic number of graphs whose
Christian Löwenstein, Dieter Rautenbach, Ingo...
GC
2002
Springer
13 years 10 months ago
A Note on Cycle Lengths in Graphs
We prove that for every c > 0 there exists a constant K = K(c) such that every graph G with n vertices and minimum degree at least cn contains a cycle of length t for every even...
Ronald J. Gould, Penny E. Haxell, A. D. Scott
ENDM
2008
114views more  ENDM 2008»
13 years 11 months ago
Strong oriented chromatic number of planar graphs without cycles of specific lengths
A strong oriented k-coloring of an oriented graph G is a homomorphism from G to H having k vertices labelled by the k elements of an abelian additive group M, such that for any p...
Mickaël Montassier, Pascal Ochem, Alexandre P...
DM
2008
48views more  DM 2008»
13 years 11 months ago
Relative length of longest paths and longest cycles in triangle-free graphs
Daniël Paulusma, Kiyoshi Yoshimoto