New results on Orthogonal Component Graphs of Vector Spaces over $\mathbb{Z}_p$

Document Type : Original paper

Authors

1 Department of Mathematics, CHRIST (Deemed to be University), Bangalore, Karnataka-560029, INDIA

2 Christ University, Bangalore, India.

3 Christ University, Bangalore, India

Abstract

A new concept known as the orthogonal component graph associated with a finite-dimensional vector space over a finite field has been recently added as another class of algebraic graphs. In these graphs, the vertices will be all the possible non-zero linear combinations of orthogonal basis vectors. Any two vertices will be adjacent if the corresponding vectors are orthogonal. In this paper, we discuss the various colorings and structural properties of orthogonal component graphs.

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References

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Communications in Combinatorics and Optimization

Articles in Press, Accepted Manuscript
Available Online from 28 March 2023

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