Abstract
In multi-channel Wireless Mesh Networks (WMN), each node is able to use multiple non-overlapping frequency channels. Raniwala et al. (MC2R 2004, INFOCOM 2005) propose and study several such architectures in which a computer can have multiple network interface cards. These architectures are modeled as a graph problem named maximum edge q-coloring and studied in several papers by Feng et. al (TAMC 2007), Adamaszek and Popa (ISAAC 2010, JDA 2016). Later on Larjomaa and Popa (IWOCA 2014, JGAA 2015) define and study an alternative variant, named the min-max edge q-coloring. The above mentioned graph problems, namely the maximum edge q-coloring and the min-max edge q-coloring are studied mainly from the theoretical perspective. In this paper, we study the min-max edge 2-coloring problem from a practical perspective. More precisely, we introduce, implement and test four heuristic approximation algorithms for the min-max edge 2-coloring problem. These algorithms are based on a Breadth First Search (BFS)-based heuristic and on local search methods like basic hill climbing, simulated annealing and tabu search techniques, respectively. Although several algorithms for particular graph classes were proposed by Larjomaa and Popa (e.g., trees, planar graphs, cliques, bi-cliques, hypergraphs), we design the first algorithms for general graphs. We study and compare the running data for all algorithms on Unit Disk Graphs, as well as some graphs from the DIMACS vertex coloring benchmark dataset.
| Original language | English |
|---|---|
| Title of host publication | Computing and Combinatorics - 24th International Conference, COCOON 2018, Proceedings |
| Editors | Daming Zhu, Lusheng Wang |
| Publisher | Springer Verlag |
| Pages | 662-674 |
| Number of pages | 13 |
| ISBN (Print) | 9783319947754 |
| DOIs | |
| Publication status | Published - Jan 1 2018 |
| Event | 24th International Conference on Computing and Combinatorics Conference, COCOON 2018 - Qing Dao, China Duration: Jul 2 2018 → Jul 4 2018 |
Publication series
| Name | Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) |
|---|---|
| Volume | 10976 LNCS |
| ISSN (Print) | 0302-9743 |
| ISSN (Electronic) | 1611-3349 |
Other
| Other | 24th International Conference on Computing and Combinatorics Conference, COCOON 2018 |
|---|---|
| Country | China |
| City | Qing Dao |
| Period | 7/2/18 → 7/4/18 |
Fingerprint
ASJC Scopus subject areas
- Theoretical Computer Science
- Computer Science(all)
Cite this
Heuristic algorithms for the min-max edge 2-coloring problem. / Mincu, Radu Stefan; Popa, Alexandru.
Computing and Combinatorics - 24th International Conference, COCOON 2018, Proceedings. ed. / Daming Zhu; Lusheng Wang. Springer Verlag, 2018. p. 662-674 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 10976 LNCS).Research output: Chapter in Book/Report/Conference proceeding › Conference contribution
}
TY - GEN
T1 - Heuristic algorithms for the min-max edge 2-coloring problem
AU - Mincu, Radu Stefan
AU - Popa, Alexandru
PY - 2018/1/1
Y1 - 2018/1/1
N2 - In multi-channel Wireless Mesh Networks (WMN), each node is able to use multiple non-overlapping frequency channels. Raniwala et al. (MC2R 2004, INFOCOM 2005) propose and study several such architectures in which a computer can have multiple network interface cards. These architectures are modeled as a graph problem named maximum edge q-coloring and studied in several papers by Feng et. al (TAMC 2007), Adamaszek and Popa (ISAAC 2010, JDA 2016). Later on Larjomaa and Popa (IWOCA 2014, JGAA 2015) define and study an alternative variant, named the min-max edge q-coloring. The above mentioned graph problems, namely the maximum edge q-coloring and the min-max edge q-coloring are studied mainly from the theoretical perspective. In this paper, we study the min-max edge 2-coloring problem from a practical perspective. More precisely, we introduce, implement and test four heuristic approximation algorithms for the min-max edge 2-coloring problem. These algorithms are based on a Breadth First Search (BFS)-based heuristic and on local search methods like basic hill climbing, simulated annealing and tabu search techniques, respectively. Although several algorithms for particular graph classes were proposed by Larjomaa and Popa (e.g., trees, planar graphs, cliques, bi-cliques, hypergraphs), we design the first algorithms for general graphs. We study and compare the running data for all algorithms on Unit Disk Graphs, as well as some graphs from the DIMACS vertex coloring benchmark dataset.
AB - In multi-channel Wireless Mesh Networks (WMN), each node is able to use multiple non-overlapping frequency channels. Raniwala et al. (MC2R 2004, INFOCOM 2005) propose and study several such architectures in which a computer can have multiple network interface cards. These architectures are modeled as a graph problem named maximum edge q-coloring and studied in several papers by Feng et. al (TAMC 2007), Adamaszek and Popa (ISAAC 2010, JDA 2016). Later on Larjomaa and Popa (IWOCA 2014, JGAA 2015) define and study an alternative variant, named the min-max edge q-coloring. The above mentioned graph problems, namely the maximum edge q-coloring and the min-max edge q-coloring are studied mainly from the theoretical perspective. In this paper, we study the min-max edge 2-coloring problem from a practical perspective. More precisely, we introduce, implement and test four heuristic approximation algorithms for the min-max edge 2-coloring problem. These algorithms are based on a Breadth First Search (BFS)-based heuristic and on local search methods like basic hill climbing, simulated annealing and tabu search techniques, respectively. Although several algorithms for particular graph classes were proposed by Larjomaa and Popa (e.g., trees, planar graphs, cliques, bi-cliques, hypergraphs), we design the first algorithms for general graphs. We study and compare the running data for all algorithms on Unit Disk Graphs, as well as some graphs from the DIMACS vertex coloring benchmark dataset.
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UR - http://www.scopus.com/inward/citedby.url?scp=85049690191&partnerID=8YFLogxK
U2 - 10.1007/978-3-319-94776-1_55
DO - 10.1007/978-3-319-94776-1_55
M3 - Conference contribution
AN - SCOPUS:85049690191
SN - 9783319947754
T3 - Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
SP - 662
EP - 674
BT - Computing and Combinatorics - 24th International Conference, COCOON 2018, Proceedings
A2 - Zhu, Daming
A2 - Wang, Lusheng
PB - Springer Verlag
ER -