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» Up-Embeddability of a Graph by Order and Girth
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109
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COMBINATORICA
2010
14 years 7 months ago
A randomized embedding algorithm for trees
In this paper, we propose a simple and natural randomized algorithm to embed a tree T in a given graph G. The algorithm can be viewed as a "self-avoiding tree-indexed random ...
Benny Sudakov, Jan Vondrák
104
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SIAMDM
2010
130views more  SIAMDM 2010»
14 years 8 months ago
On the Hull Number of Triangle-Free Graphs
A set of vertices C in a graph is convex if it contains all vertices which lie on shortest paths between vertices in C. The convex hull of a set of vertices S is the smallest conve...
Mitre Costa Dourado, Fábio Protti, Dieter R...
113
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IPL
2008
169views more  IPL 2008»
14 years 10 months ago
Oriented colorings of partial 2-trees
A homomorphism from an oriented graph G to an oriented graph H is an arc-preserving mapping f from V(G) to V(H), that is f(x)f(y) is an arc in H whenever xy is an arc in G. The or...
Pascal Ochem, Alexandre Pinlou
COMBINATORICS
2004
94views more  COMBINATORICS 2004»
14 years 10 months ago
Short Cycles in Random Regular Graphs
Consider random regular graphs of order n and degree d = d(n) 3. Let g = g(n) 3 satisfy (d-1)2g-1 = o(n). Then the number of cycles of lengths up to g have a distribution simila...
Brendan D. McKay, Nicholas C. Wormald, Beata Wysoc...
101
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ENDM
2007
149views more  ENDM 2007»
14 years 10 months ago
Oriented vertex and arc colorings of partial 2-trees
d Abstract) Pascal Ochem∗, Alexandre Pinlou† LaBRI, Université Bordeaux 1, 351, Cours de la Libération, 33405 Talence Cedex, France March 16, 2007 A homomorphism from an ori...
Pascal Ochem, Alexandre Pinlou