The Basis Number of Quadruple Join of Graphs | ||
AL-Rafidain Journal of Computer Sciences and Mathematics | ||
Article 19, Volume 9, Issue 1, June 2012, Pages 27-34 PDF (429.21 K) | ||
Document Type: Research Paper | ||
DOI: 10.33899/csmj.2012.163685 | ||
Authors | ||
Ghassan T. Marougi1; Raghad A. Mustafa2 | ||
1College of Computer Sciences and Mathematics University of Mosul | ||
2College of Computer Sciences and Mathematics University of Mosul, Iraq | ||
Abstract | ||
The basis number, b(G) ,of a graph G is defined to be the smallest positive integer k such that G has a k-fold basis for its cycle space. We investigate an upper bound for .It is proved that, if and are connected vertex-disjoint graphs and each has a spanning tree of vertex degree not more than 4, then The basis number of quadruple join of paths, are studied. It is proved that | ||
Keywords | ||
Basis Number; Cycle space | ||
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