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» Maximum Matchings in Regular Graphs of High Girth
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COMBINATORICS
2007
88views more  COMBINATORICS 2007»
13 years 5 months ago
Maximum Matchings in Regular Graphs of High Girth
Let G = (V, E) be any d-regular graph with girth g on n vertices, for d ≥ 3. This note shows that G has a maximum matching which includes all but an exponentially small fraction...
Abraham D. Flaxman, Shlomo Hoory
JCT
2007
93views more  JCT 2007»
13 years 4 months ago
The circular chromatic index of graphs of high girth
We show that for each ε > 0 and each integer ∆ ≥ 1, there exists a number g such that for any graph G of maximum degree ∆ and girth at least g, the circular chromatic in...
Tomás Kaiser, Daniel Král, Riste Skr...
ARSCOM
2007
77views more  ARSCOM 2007»
13 years 5 months ago
Extremal bipartite graphs with high girth
Let us denote by EX (m, n; {C4, . . . , C2t}) the family of bipartite graphs G with m and n vertices in its classes that contain no cycles of length less than or equal to 2t and h...
Camino Balbuena, Pedro García-Vázque...
ALGORITHMICA
2002
159views more  ALGORITHMICA 2002»
13 years 4 months ago
Algorithmic Aspects of Acyclic Edge Colorings
A proper coloring of the edges of a graph G is called acyclic if there is no 2-colored cycle in G. The acyclic edge chromatic number of G, denoted by a (G), is the least number of...
Noga Alon, Ayal Zaks