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AL-Rafidain Journal of Computer Sciences and Mathematics

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The Basis Number of Quadruple Join of Graphs

    Ghassan T. Marougi Raghad A. Mustafa

AL-Rafidain Journal of Computer Sciences and Mathematics, 2012, Volume 9, Issue 1, Pages 27-34
10.33899/csmj.2012.163685

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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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(2012). The Basis Number of Quadruple Join of Graphs. AL-Rafidain Journal of Computer Sciences and Mathematics, 9(1), 27-34. doi: 10.33899/csmj.2012.163685
Ghassan T. Marougi; Raghad A. Mustafa. "The Basis Number of Quadruple Join of Graphs". AL-Rafidain Journal of Computer Sciences and Mathematics, 9, 1, 2012, 27-34. doi: 10.33899/csmj.2012.163685
(2012). 'The Basis Number of Quadruple Join of Graphs', AL-Rafidain Journal of Computer Sciences and Mathematics, 9(1), pp. 27-34. doi: 10.33899/csmj.2012.163685
The Basis Number of Quadruple Join of Graphs. AL-Rafidain Journal of Computer Sciences and Mathematics, 2012; 9(1): 27-34. doi: 10.33899/csmj.2012.163685
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