306 search results - page 4 / 62 » Computing the Girth of a Planar Graph |
FOCS
2003
IEEE
15 years 5 months ago
2003
IEEE
We study a simple Markov chain, known as the Glauber dynamics, for randomly sampling (proper) k-colorings of an input graph G on n vertices with maximum degree ∆ and girth g. We...
ESA
2000
Springer
15 years 3 months ago
2000
Springer
Abstract. The depth of a planar embedding is a measure of the topological nesting of the biconnected components of the graph. Minimizing the depth of planar embeddings has importan...
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DM
2010
14 years 11 months ago
2010
Let Mad(G) denote the maximum average degree (over all subgraphs) of G and let i(G) denote the injective chromatic number of G. We prove that if Mad(G) 5 2 , then i(G) + 1; sim...
STACS
2007
Springer
15 years 5 months ago
2007
Springer
We study the following problem. Given a weighted planar graph G, assign labels L(v) to vertices so that given L(u), L(v) and L(x) for x ∈ X for any X ⊂ V (G), compute the dist...