An algorithm for 12-[5]coloring of triangle-free hexagonal graphs

被引:0
作者
Zerovnik, J [1 ]
机构
[1] Univ Maribor, FME, SI-2000 Maribor, Slovenia
来源
ITI 2005: PROCEEDINGS OF THE 27TH INTERNATIONAL CONFERENCE ON INFORMATION TECHNOLOGY INTERFACES | 2005年
关键词
graph theory; approximation algorithm; graph coloring; frequency allocation; cellular networks; distributed algorithm;
D O I
暂无
中图分类号
TP18 [人工智能理论];
学科分类号
081104 ; 0812 ; 0835 ; 1405 ;
摘要
An important optimization problem in the design of cellular networks is to assign sets of frequencies to transmitters to avoid unacceptable interference. A cellular network is generally modeled as a subgraph of the infinite triangular lattice. The distributed frequency assignment problem can be abstracted as a multicoloring problem on a weighted hexagonal graph, where the weight vector represents the number of calls to be assigned at vertices. In this paper we present a distributed algorithm for 12-[5]coloring of triangle-free hexagonal graphs.
引用
收藏
页码:673 / 678
页数:6
相关论文
共 13 条
[1]   FREQUENCY ASSIGNMENT - THEORY AND APPLICATIONS [J].
HALE, WK .
PROCEEDINGS OF THE IEEE, 1980, 68 (12) :1497-1514
[2]   Finding a five bicolouring of a triangle-free subgraph of the triangular lattice [J].
Havet, F ;
Zerovnik, J .
DISCRETE MATHEMATICS, 2002, 244 (1-3) :103-108
[3]   Channel assignment and multicolouring of the induced subgraphs of the triangular lattice [J].
Havet, F .
DISCRETE MATHEMATICS, 2001, 233 (1-3) :219-231
[4]   Distributed online frequency assignment in cellular networks [J].
Janssen, J ;
Krizane, D ;
Narayanan, L ;
Shende, S .
JOURNAL OF ALGORITHMS, 2000, 36 (02) :119-151
[5]  
McDiarmid C, 2000, NETWORKS, V36, P114, DOI 10.1002/1097-0037(200009)36:2<114::AID-NET6>3.0.CO
[6]  
2-G
[7]   Static frequency assignment in cellular networks (vol 29, pg 396, 2001) [J].
Narayanan, L ;
Shende, S .
ALGORITHMICA, 2002, 32 (04) :679-679
[8]   Static frequency assignment in cellular networks [J].
Narayanan, L ;
Shende, SM .
ALGORITHMICA, 2001, 29 (03) :396-409
[9]   2-local 5/4-competitive algorithm for multicoloring triangle-free hexagonal graphs [J].
Sparl, P ;
Zerovnik, J .
INFORMATION PROCESSING LETTERS, 2004, 90 (05) :239-246
[10]  
SPARL P, IN PRESS J ALGORITHM