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» Coloring Random Graphs
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99
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JGT
2008
77views more  JGT 2008»
15 years 2 months ago
List-coloring the square of a subcubic graph
The square G2 of a graph G is the graph with the same vertex set as G and with two vertices adjacent if their distance in G is at most 2. Thomassen showed that for a planar graph ...
Daniel W. Cranston, Seog-Jin Kim
97
Voted
DM
2010
103views more  DM 2010»
15 years 2 months ago
Rainbow paths
A k-rainbow path in a graph with colored edges is a path of length k where each edge has a different color. In this note, we settle the problem of obtaining a constructive k-colori...
Domingos Dellamonica Jr., Colton Magnant, Daniel M...
115
Voted
EJC
2008
15 years 2 months ago
Grad and classes with bounded expansion I. Decompositions
Abstract. We introduce classes of graphs with bounded expansion as a generalization of both proper minor closed classes and degree bounded classes. Such classes are based on a new ...
Jaroslav Nesetril, Patrice Ossona de Mendez
PDP
2007
IEEE
15 years 8 months ago
Parallel-External Computation of the Cycle Structure of Invertible Cryptographic Functions
We present an algorithm to compute the cycle structure of large directed graphs where each node has exactly one outgoing edge. Such graphs appear as state diagrams of finite stat...
Andreas Beckmann, Jorg Keller
97
Voted
IWPEC
2004
Springer
15 years 7 months ago
Online Problems, Pathwidth, and Persistence
Abstract. We explore the effects of using graph width metrics as restrictions on the input to online problems. It seems natural to suppose that, for graphs having some form of bou...
Rodney G. Downey, Catherine McCartin