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JGT
2006
98views more  JGT 2006»
15 years 5 months ago
Group chromatic number of planar graphs of girth at least 4
Jeager et al introduced a concept of group connectivity as an generalization of nowhere zero flows and its dual concept group coloring, and conjectured that every 5-edge connected...
Hong-Jian Lai, Xiangwen Li
FOCS
2009
IEEE
16 years 11 days ago
Local Graph Partitions for Approximation and Testing
—We introduce a new tool for approximation and testing algorithms called partitioning oracles. We develop methods for constructing them for any class of bounded-degree graphs wit...
Avinatan Hassidim, Jonathan A. Kelner, Huy N. Nguy...
TCS
2010
15 years 10 days ago
An optimal algorithm to generate rooted trivalent diagrams and rooted triangular maps
Abstract. A trivalent diagram is a connected, two-colored bipartite graph (parallel edges allowed but not loops) such that every black vertex is of degree 1 or 3 and every white ve...
Samuel Alexandre Vidal
CSE
2009
IEEE
16 years 11 days ago
Structure of Neighborhoods in a Large Social Network
Abstract—We present here a method for analyzing the neighborhoods of all the vertices in a large graph. We first give an algorithm for characterizing a simple undirected graph t...
Alina Stoica, Christophe Prieur
185
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ALGORITHMICA
2008
111views more  ALGORITHMICA 2008»
15 years 5 months ago
Fixed-Parameter Complexity of Minimum Profile Problems
The profile of a graph is an integer-valued parameter defined via vertex orderings; it is known that the profile of a graph equals the smallest number of edges of an interval supe...
Gregory Gutin, Stefan Szeider, Anders Yeo