International Journal of Computer Applications

© 2012 by IJCA Journal

Volume 50 - Number 12

Year of Publication: 2012

10.5120/7820-0945 |

M I Moussa and E M Badr. Article: A Computational Study for the Graph-theoretic Version of the Union-closed Sets Conjecture. *International Journal of Computer Applications* 50(12):1-5, July 2012. Full text available. BibTeX

@article{key:article, author = {M. I. Moussa and E. M. Badr}, title = {Article: A Computational Study for the Graph-theoretic Version of the Union-closed Sets Conjecture}, journal = {International Journal of Computer Applications}, year = {2012}, volume = {50}, number = {12}, pages = {1-5}, month = {July}, note = {Full text available} }

An induced subgraph S of a graph G is called a derived subgraph of G if S contains no isolated vertices. An edge e of G is said to be residual if e occurs in more than half of the derived subgraphs of G. We prove some theorems which calculate the number of derived subgraphs for some special graphs. We also present a new algorithm SDSA that calculates the number of derived subgraphs for a given graph G and determines the residual and non-residual edges. Finally, we introduce a computational study which supports our results.

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