On-Line Edge-Coloring with a Fixed Number of Colors

被引：0

作者：

Monrad Favrholdt

Nyhave Nielsen

机构：

[1] Department of Mathematics and Computer Science,

[2] University of Southern Denmark,undefined

[3] Campusvej 55,undefined

[4] DK-5230 Odense M,undefined

[5] lenem@imada.sdu.dk,undefined

[6] nyhave@imada.sdu.dk.,undefined

来源：

Algorithmica | 2003年 / 35卷

关键词：

Edge-coloring; On-line algorithms; Competitive analysis; Fixed number of colors; Maximization problem; Fair algorithms; k -Colorable graphs; Accommodating sequences; Restricted adversary; Randomization;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We investigate a variant of on-line edge-coloring in which there is a fixed number of colors available and the aim is to color as many edges as possible. We prove upper and lower bounds on the performance of different classes of algorithms for the problem. Moreover, we determine the performance of two specific algorithms, First-Fit and Next-Fit .

引用

页码：176 / 191

页数：15

共 50 条

[1] On-line edge-coloring with a fixed number of colors
Favrholdt, LM
Nielsen, MN
[J]. FST TCS 2000: FOUNDATIONS OF SOFTWARE TECHNOLOGY AND THEORETICAL COMPUTER SCIENCE, PROCEEDINGS, 2000, 1974 : 106 - 116
[2] On-line edge-coloring with a fixed number of colors
Favrholdt, LM
Nielsen, MN
[J]. ALGORITHMICA, 2003, 35 (02) : 176 - 191
[3] Improved edge-coloring with three colors
Kowalik, Lukasz
[J]. GRAPH-THEORETIC CONCEPTS IN COMPUTER SCIENCE, 2006, 4271 : 90 - 101
[4] Improved edge-coloring with three colors
Kowalik, Lukasz
[J]. THEORETICAL COMPUTER SCIENCE, 2009, 410 (38-40) : 3733 - 3742
[5] Edge-coloring cliques with many colors on subcliques
Eichhorn, D
Mubayi, D
[J]. COMBINATORICA, 2000, 20 (03) : 441 - 444
[6] INTERVAL EDGE-COLORING OF A GRAPH WITH FORBIDDEN COLORS
KUBALE, M
[J]. DISCRETE MATHEMATICS, 1993, 121 (1-3) : 135 - 143
[7] Deterministic Distributed Edge-Coloring with Fewer Colors
Ghaffari, Mohsen
Kuhn, Fabian
Maus, Yannic
Uitto, Jara
[J]. STOC'18: PROCEEDINGS OF THE 50TH ANNUAL ACM SIGACT SYMPOSIUM ON THEORY OF COMPUTING, 2018, : 418 - 430
[8] Online edge coloring of paths and trees with a fixed number of colors
Lene M. Favrholdt
Jesper W. Mikkelsen
[J]. Acta Informatica, 2018, 55 : 57 - 80
[9] Online edge coloring of paths and trees with a fixed number of colors
Favrholdt, Lene M.
Mikkelsen, Jesper W.
[J]. ACTA INFORMATICA, 2018, 55 (01) : 57 - 80
[10] EDGE-COLORING OF PLANE GRAPHS WITH MANY COLORS ON FACES
Czap, J.
Jendrol, S.
Valiska, J.
[J]. ACTA MATHEMATICA UNIVERSITATIS COMENIANAE, 2019, 88 (03): : 573 - 576

← 1 2 3 4 5 →