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» Intervalizing k-Colored Graphs
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TCS
2008
14 years 9 months ago
Game chromatic index of graphs with given restrictions on degrees
Given a graph G and an integer k, two players alternatively color the edges of G using k colors so that adjacent edges get different colors. The game chromatic index g(G) is the m...
Andrew Beveridge, Tom Bohman, Alan M. Frieze, Oleg...
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RSA
2008
125views more  RSA 2008»
14 years 9 months ago
The game chromatic number of random graphs
: Given a graph G and an integer k, two players take turns coloring the vertices of G one by one using k colors so that neighboring vertices get different colors. The first player ...
Tom Bohman, Alan M. Frieze, Benny Sudakov
JGT
2010
79views more  JGT 2010»
14 years 8 months ago
Multi-coloring the Mycielskian of graphs
: A k-fold coloring of a graph is a function that assigns to each vertex a set of k colors, so that the color sets assigned to adjacent Contract grant sponsor: NSFC; Contract grant...
Wensong Lin, Daphne Der-Fen Liu, Xuding Zhu
DAM
2007
105views more  DAM 2007»
14 years 9 months ago
Recognizing and representing proper interval graphs in parallel using merging and sorting
We present a parallel algorithm for recognizing and representing a proper interval graph in O(log2 n) time with O(m + n) processors on the CREW PRAM, where m and n are the number ...
Jørgen Bang-Jensen, Jing Huang, Louis Ibarr...
ALGORITHMICA
2007
80views more  ALGORITHMICA 2007»
14 years 9 months ago
Tree Spanners for Bipartite Graphs and Probe Interval Graphs
A tree t-spanner T in a graph G is a spanning tree of G such that the distance between every pair of vertices in T is at most t times their distance in G. The tree t-spanner proble...
Andreas Brandstädt, Feodor F. Dragan, Ho&agra...