Adjacency Matrix of Product of Graphs | Zendy

Urvashi Acharya | Zendy; H. S. Mehta | Zendy

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Adjacency Matrix of Product of Graphs

Author(s) -

Urvashi Acharya,

H. S. Mehta

Publication year - 2018

Publication title -

kalpa publications in computing

Language(s) - English

Resource type - Conference proceedings

ISSN - 2515-1762

DOI - 10.29007/fqlw

Subject(s) - adjacency matrix , adjacency list , graph energy , incidence matrix , cartesian product , graph product , degree matrix , mathematics , tensor product , laplacian matrix , combinatorics , discrete mathematics , graph , pure mathematics , line graph , 1 planar graph , physics , voltage graph , graph power , quantum mechanics , node (physics)

In graph theory, different types of matrices associated with graph, e.g. Adjacency matrix, Incidence matrix, Laplacian matrix etc. Among all adjacency matrix play an important role in graph theory. Many products of two graphs as well as its generalized form had been studied, e.g., cartesian product, 2−cartesian product, tensor product, 2−tensor product etc. In this paper, we discuss the adjacency matrix of two new product of graphs G H, where = ⊗2, ×2. Also, we obtain the spectrum of these products of graphs.

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