Efficient Implementation of Color Coding Algorithm for Subgraph Isomorphism Problem
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21240%2F19%3A00339008" target="_blank" >RIV/68407700:21240/19:00339008 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.1007/978-3-030-34029-2_19" target="_blank" >https://doi.org/10.1007/978-3-030-34029-2_19</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/978-3-030-34029-2_19" target="_blank" >10.1007/978-3-030-34029-2_19</a>
Alternative languages
Result language
angličtina
Original language name
Efficient Implementation of Color Coding Algorithm for Subgraph Isomorphism Problem
Original language description
We consider the subgraph isomorphism problem where, given two graphs G (source graph) and F (pattern graph), one is to decide whether there is a (not necessarily induced) subgraph of G isomorphic to F. While many practical heuristic algorithms have been developed for the problem, as pointed out by McCreesh et al. [JAIR 2018], for each of them there are rather small instances which they cannot cope. Therefore, developing an alternative approach that could possibly cope with these hard instances would be of interest. A seminal paper by Alon, Yuster and Zwick [J. ACM 1995] introduced the color coding approach to solve the problem, where the main part is a dynamic programming over color subsets and partial mappings. As with many exponential-time dynamic programming algorithms, the memory requirements constitute the main limiting factor for its usage. Because these requirements grow exponentially with the treewidth of the pattern graph, all existing implementations based on the color coding principle restrict themselves to specific pattern graphs, e.g., paths or trees. In contrast, we provide an efficient implementation of the algorithm significantly reducing its memory requirements so that it can be used for pattern graphs of larger treewidth. Moreover, our implementation not only decides the existence of an isomorphic subgraph, but it also enumerates all such subgraphs (or given number of them). We provide an extensive experimental comparison of our implementation to other available solvers for the problem.
Czech name
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Czech description
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Classification
Type
D - Article in proceedings
CEP classification
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OECD FORD branch
10201 - Computer sciences, information science, bioinformathics (hardware development to be 2.2, social aspect to be 5.8)
Result continuities
Project
Result was created during the realization of more than one project. More information in the Projects tab.
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Others
Publication year
2019
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Article name in the collection
Analysis of Experimental Algorithms
ISBN
978-3-030-34028-5
ISSN
0302-9743
e-ISSN
1611-3349
Number of pages
17
Pages from-to
283-299
Publisher name
Springer Nature Switzerland AG
Place of publication
Basel
Event location
Kalamata
Event date
Jun 24, 2019
Type of event by nationality
WRD - Celosvětová akce
UT code for WoS article
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