1. TWO GRAPHS WITH A COMMON EDGE.
- Author
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BADURA, LIDIA
- Subjects
- *
GRAPH theory , *PATHS & cycles in graph theory , *DETERMINANTS (Mathematics) , *SUBGRAPHS , *MATRICES (Mathematics) , *MATHEMATICAL analysis - Abstract
Let G = G1 ∪ G2 be the sum of two simple graphs G1, G2 having a common edge or G = G1 ∪ e1 ∪ e2 ∪ G2 be the sum of two simple disjoint graphs G1,G2 connected by two edges e1 and e2 which form a cycle C4 inside G. We give a method of computing the determinant detA(G) of the adjacency matrix of G by reducing the calculation of the determinant to certain subgraphs of G1 and G2. To show the scope and effectiveness of our method we give some examples [ABSTRACT FROM AUTHOR]
- Published
- 2014
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