JOURNAL ARTICLE

Another Simple Algorithm for Edge-Coloring Bipartite Graphs

Toshinori Takabatake

Year: 2005 Journal:   IEICE Transactions on Fundamentals of Electronics Communications and Computer Sciences Vol: E88-A (5)Pages: 1303-1304   Publisher: Institute of Electronics, Information and Communication Engineers

Abstract

A new edge-coloring algorithm for bipartite graphs is presented. This algorithm, based on the framework of the O(mlogd + (m/d)log(m/d)log d) algorithm by Makino--Takabatake--Fujishige and the O(mlogm) one by Alon, finds an optimal edge-coloring of a bipartite graph with m edges and maximum degree d in O(mlogd + (m/d)log(m/d)) time. This algorithm does not require elaborate data structures, which the best known O(mlogd) algorithm due to Cole--Ost--Schirra depends on.

Keywords:
Bipartite graph Edge coloring Combinatorics Enhanced Data Rates for GSM Evolution Simple (philosophy) Mathematics Algorithm Graph Discrete mathematics Computer science Line graph Graph power Artificial intelligence

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0.17
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Topics

Advanced Graph Theory Research
Physical Sciences →  Computer Science →  Computational Theory and Mathematics
Graph Labeling and Dimension Problems
Physical Sciences →  Computer Science →  Computational Theory and Mathematics
graph theory and CDMA systems
Physical Sciences →  Engineering →  Electrical and Electronic Engineering

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