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Let G be simple graph of order n. A(G) is the adjacency matrix of G of order n×n. The matrix A (G) is said to graphical if all its diagonal entries should be zero. The graph⎾ is said to be the matrix product (mod-2) of G and G ̅ if A(G) and A(G ̅ )(mod

MATRIX PRODUCT (modulo-2) OF PETERSEN GRAPHS

Authors

STEPHEN JOHN.B*1 | S. JENCY (St.)2
ijma Archive-International Journal of Mathematical Archive (IJMA) 1

Abstract

Let be simple graph of order . is the adjacency matrix of of order The matrix is said to graphical if all its diagonal entries should be zero. The graph is said to be the matrix product (mod-2) of and (mod-2) is graphical and is the realization of (mod-2). In this paper, we are going to study the realization of the Petersen graph and any regular subgraph of Also some interesting characterizations and properties of the graphs for each the product of adjacency matrix under (mod-2) is graphical.

Article Details

Published

2016-09-13

Issue

Vol. 7 No. 8 (2016): August-2016: Research and Review Articles

Section

Mathematical Section

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How to Cite

JOHN.B*, S., & JENCY (St.), S. (2016). MATRIX PRODUCT (modulo-2) OF PETERSEN GRAPHS. International Journal of Mathematical Archive, 7(8). http://ijma.info/index.php/ijma/article/view/4399