Equitable coloring of graphs. Recent theoretical results and new practical algorithms

被引：10

作者：

Furmanczyk, Hanna ^{[1
]}

Jastrzebski, Andrzej ^{[2
]}

Kubale, Marek ^{[2
]}

机构：

[1] Gdansk Univ Technol, Inst Informat, Wita Stwosza 57, PL-80952 Gdansk, Poland

[2] Gdansk Univ Technol, Dept Algorithms & Syst Modeling, Narutowicza 11-12, PL-80233 Gdansk, Poland

来源：

ARCHIVES OF CONTROL SCIENCES | 2016年 / 26卷 / 03期

关键词：

computer experiments; corona graph; equitable chromatic number; equitable coloring conjectures; NP-hardness; polynomial heuristics; PLANAR GRAPHS; MAXIMUM DEGREE; SHORT CYCLES; PRODUCTS;

D O I：

10.1515/acsc-2016-0016

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

In many applications in sequencing and scheduling it is desirable to have an underlaying graph as equitably colored as possible. In this paper we survey recent theoretical results concerning conditions for equitable colorability of some graphs and recent theoretical results concerning the complexity of equitable coloring problem. Next, since the general coloring problem is strongly NP-hard, we report on practical experiments with some efficient polynomial-time algorithms for approximate equitable coloring of general graphs.

引用

页码：281 / 295

页数：15

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