Polynomial time algorithms for two classes of subgraph problem

Sridharan, Sriraman

doi:10.1051/ro:2008015

Sridharan, Sriraman

RAIRO - Operations Research - Recherche Opérationnelle, Tome 42 (2008) no. 3, pp. 291-298.

Résumé

We design a $O (n^{3})$ polynomial time algorithm for finding a $(k - 1)$ - regular subgraph in a $k$ -regular graph without any induced star $K_{1, 3}$ (claw-free). A polynomial time algorithm for finding a cubic subgraph in a 4-regular locally connected graph is also given. A family of $k$ -regular graphs with an induced star $K_{1, 3}$ $(k e v e n, k \geq 6)$ , not containing any $(k - 1)$ -regular subgraph is also constructed.

MR Zbl

DOI : 10.1051/ro:2008015

Classification : 05C
Mots-clés : polynomial time algorithm, NP-complete, graph, star, regular graph, perfect marching

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     author = {Sridharan, Sriraman},
     title = {Polynomial time algorithms for two classes of subgraph problem},
     journal = {RAIRO - Operations Research - Recherche Op\'erationnelle},
     pages = {291--298},
     publisher = {EDP-Sciences},
     volume = {42},
     number = {3},
     year = {2008},
     doi = {10.1051/ro:2008015},
     mrnumber = {2444488},
     zbl = {1161.05344},
     language = {en},
     url = {http://www.numdam.org/articles/10.1051/ro:2008015/}
}

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Sridharan, Sriraman. Polynomial time algorithms for two classes of subgraph problem. RAIRO - Operations Research - Recherche Opérationnelle, Tome 42 (2008) no. 3, pp. 291-298. doi : 10.1051/ro:2008015. http://www.numdam.org/articles/10.1051/ro:2008015/

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