Abstract
The k-way graph partitioning problem has been solved well through vertex ordering and dynamic programming which splits a vertex order into k clusters [2,12]. In order to obtain “good clusters” in terms of the partitioning objective, tightly connected vertices in a given graph should be closely placed on the vertex order. In this paper we present a simple vertex ordering method called hierarchical vertex ordering (HVO). Given a weighted undirected graph, HVO generates a series of graphs through graph matching to construct a tree. A vertex order is then obtained by visiting each nonleaf node in the tree and by ordering its children properly. In the experiments, dynamic programming [2] is applied to the vertex orders generated by HVO as well as various vertex ordering methods [1,6,9,10,11] in order to solve the k-way graph partitioning problem. The solutions derived from the vertex orders are then comapred. Our experimental results show that HVO outperforms other methods for almost all cases in terms of the partitioning objective. HVO is also very simple and straightforward.
| Original language | English |
|---|---|
| Title of host publication | Graph Transformation - 1st International Conference, ICGT 2002, Proceedings |
| Editors | Grzegorz Rozenberg, Hans-Jörg Kreowski, Andrea Corradini, Hartmut Ehrig |
| Publisher | Springer Verlag |
| Pages | 393-401 |
| Number of pages | 9 |
| ISBN (Electronic) | 9783540443100 |
| Publication status | Published - 2002 Jan 1 |
| Event | 1st International Conference on Graph Transformation, ICGT 2002 - Barcelona, Spain Duration: 2002 Oct 7 → 2002 Oct 12 |
Publication series
| Name | Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) |
|---|---|
| Volume | 2505 |
| ISSN (Print) | 0302-9743 |
| ISSN (Electronic) | 1611-3349 |
Other
| Other | 1st International Conference on Graph Transformation, ICGT 2002 |
|---|---|
| Country | Spain |
| City | Barcelona |
| Period | 02/10/7 → 02/10/12 |
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All Science Journal Classification (ASJC) codes
- Theoretical Computer Science
- Computer Science(all)
Cite this
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Hierarchical vertex ordering. / Woo, Sung Ho; Yang, Sung Bong.
Graph Transformation - 1st International Conference, ICGT 2002, Proceedings. ed. / Grzegorz Rozenberg; Hans-Jörg Kreowski; Andrea Corradini; Hartmut Ehrig. Springer Verlag, 2002. p. 393-401 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 2505).Research output: Chapter in Book/Report/Conference proceeding › Conference contribution
TY - GEN
T1 - Hierarchical vertex ordering
AU - Woo, Sung Ho
AU - Yang, Sung Bong
PY - 2002/1/1
Y1 - 2002/1/1
N2 - The k-way graph partitioning problem has been solved well through vertex ordering and dynamic programming which splits a vertex order into k clusters [2,12]. In order to obtain “good clusters” in terms of the partitioning objective, tightly connected vertices in a given graph should be closely placed on the vertex order. In this paper we present a simple vertex ordering method called hierarchical vertex ordering (HVO). Given a weighted undirected graph, HVO generates a series of graphs through graph matching to construct a tree. A vertex order is then obtained by visiting each nonleaf node in the tree and by ordering its children properly. In the experiments, dynamic programming [2] is applied to the vertex orders generated by HVO as well as various vertex ordering methods [1,6,9,10,11] in order to solve the k-way graph partitioning problem. The solutions derived from the vertex orders are then comapred. Our experimental results show that HVO outperforms other methods for almost all cases in terms of the partitioning objective. HVO is also very simple and straightforward.
AB - The k-way graph partitioning problem has been solved well through vertex ordering and dynamic programming which splits a vertex order into k clusters [2,12]. In order to obtain “good clusters” in terms of the partitioning objective, tightly connected vertices in a given graph should be closely placed on the vertex order. In this paper we present a simple vertex ordering method called hierarchical vertex ordering (HVO). Given a weighted undirected graph, HVO generates a series of graphs through graph matching to construct a tree. A vertex order is then obtained by visiting each nonleaf node in the tree and by ordering its children properly. In the experiments, dynamic programming [2] is applied to the vertex orders generated by HVO as well as various vertex ordering methods [1,6,9,10,11] in order to solve the k-way graph partitioning problem. The solutions derived from the vertex orders are then comapred. Our experimental results show that HVO outperforms other methods for almost all cases in terms of the partitioning objective. HVO is also very simple and straightforward.
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M3 - Conference contribution
AN - SCOPUS:84937232482
T3 - Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
SP - 393
EP - 401
BT - Graph Transformation - 1st International Conference, ICGT 2002, Proceedings
A2 - Rozenberg, Grzegorz
A2 - Kreowski, Hans-Jörg
A2 - Corradini, Andrea
A2 - Ehrig, Hartmut
PB - Springer Verlag
ER -