Matrix Product of Graphs

K. Manjunatha Prasad (), G. Sudhakara (), H. S. Sujatha () and M. Vinay ()
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K. Manjunatha Prasad: Manipal University, Department of Statistics
G. Sudhakara: Manipal Institute of Technology, Department of Mathematics
H. S. Sujatha: Manipal Institute of Technology, Department of Mathematics
M. Vinay: Manipal Institute of Technology, Department of Mathematics

A chapter in Combinatorial Matrix Theory and Generalized Inverses of Matrices, 2013, pp 41-55 from Springer

Abstract: Abstract In this paper, we characterize the graphs G and H for which the product of the adjacency matrices A(G)A(H) is graphical. We continue to define matrix product of two graphs and study a few properties of the same product. Further, we consider the case of regular graphs to study the graphical property of the product of adjacency matrices.

Keywords: Adjacency matrix; Matrix product; Realizability; 05C50 (search for similar items in EconPapers)
Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-81-322-1053-5_4

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DOI: 10.1007/978-81-322-1053-5_4

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