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JCT
2002
93views more  JCT 2002»
13 years 9 months ago
Coloring Locally Bipartite Graphs on Surfaces
It is proved that there is a function f : N N such that the following holds. Let G be a graph embedded in a surface of Euler genus g with all faces of even size and with edge-wid...
Bojan Mohar, Paul D. Seymour
DAM
2008
84views more  DAM 2008»
13 years 10 months ago
Edge-splittings preserving local edge-connectivity of graphs
Let G = (V + s, E) be a 2-edge-connected graph with a designated vertex s. A pair of edges rs, st is called admissible if splitting off these edges (replacing rs and st by rt) pre...
Zoltán Szigeti
JGT
2010
90views more  JGT 2010»
13 years 8 months ago
The rainbow connection of a graph is (at most) reciprocal to its minimum degree
An edge-colored graph G is rainbow edge-connected if any two vertices are connected by a path whose edges have distinct colors. The rainbow connection of a connected graph G, deno...
Michael Krivelevich, Raphael Yuster
EMNLP
2007
13 years 11 months ago
Lexical Semantic Relatedness with Random Graph Walks
Many systems for tasks such as question answering, multi-document summarization, and information retrieval need robust numerical measures of lexical relatedness. Standard thesauru...
Thad Hughes, Daniel Ramage
JGT
2008
59views more  JGT 2008»
13 years 10 months ago
Pebbling and optimal pebbling in graphs
Given a distribution of pebbles on the vertices of a graph G, a pebbling move takes two pebbles from one vertex and puts one on a neighboring vertex. The pebbling number (G) is th...
David P. Bunde, Erin W. Chambers, Daniel W. Cranst...