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New results on Orthogonal Component Graphs of Vector Spaces over $\mathbb{Z}_p$ | ||
| Communications in Combinatorics and Optimization | ||
| مقاله 7، دوره 9، شماره 3، آذر 2024، صفحه 485-495 اصل مقاله (387.07 K) | ||
| نوع مقاله: Original paper | ||
| شناسه دیجیتال (DOI): 10.22049/cco.2023.28034.1422 | ||
| نویسندگان | ||
| Vrinda Mary Mathew؛ Sudev Naduvath* ؛ Thadathil Joseph Varghese | ||
| Department of Mathematics, CHRIST (Deemed to be University), Bangalore-560029, Karnataka, India | ||
| چکیده | ||
| 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. | ||
| کلیدواژهها | ||
| Orthogonal component graph؛ graph coloring؛ planarity؛ unicyclic graphs؛ centrality measures | ||
| مراجع | ||
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[15] D.B. West, Introduction to Graph Theory, Prentice hall Upper Saddle River, 2001. | ||
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