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» On perfectness of sums of graphs
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DCG
2011
13 years 3 months ago
Small Grid Embeddings of 3-Polytopes
We introduce an algorithm that embeds a given 3-connected planar graph as a convex 3-polytope with integer coordinates. The size of the coordinates is bounded by O(27.55n ) = O(18...
Ares Ribó Mor, Günter Rote, Andr&eacut...
JCT
2008
68views more  JCT 2008»
13 years 8 months ago
An Ore-type theorem on equitable coloring
A proper vertex coloring of a graph is equitable if the sizes of its color classes differ by at most one. In this note, we prove that if G is a graph such that for each edge xy E...
Hal A. Kierstead, Alexandr V. Kostochka
CG
2006
Springer
14 years 12 days ago
A Retrograde Approximation Algorithm for One-Player Can't Stop
Abstract. A one-player, finite, probabilistic game with perfect information can be presented as a bipartite graph. For one-player Can't Stop, the graph is cyclic and the chall...
James Glenn, Haw-ren Fang, Clyde P. Kruskal
ICALP
2005
Springer
14 years 2 months ago
Approximation Algorithms for the Max-coloring Problem
Given a graph G = (V, E) and positive integral vertex weights w : V → N, the max-coloring problem seeks to find a proper vertex coloring of G whose color classes C1, C2, . . . ,...
Sriram V. Pemmaraju, Rajiv Raman
DM
2008
73views more  DM 2008»
13 years 8 months ago
A note on edge-graceful spectra of the square of paths
For a simple path Pr on r vertices, the square of Pr is the graph P2 r on the same set of vertices of Pr , and where every pair of vertices of distance two or less in Pr is connec...
Tao-Ming Wang, Cheng-Chih Hsiao, Sin-Min Lee