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Discrete mathematics and mathematical cybernetics
Vertex-vertex color energy of a graph
S. Udupa, R. S. Bhat Manipal Institute of Technology, Manipal Academy of Higher Education, Manipal, India-576104
Abstract:
In this paper we introduce new kind of graph energy, vv-color energy of a graph denoted as $E_{cvv}(G)$. It depends both on underlying graph $G$ and its coloring. Upper and lower bounds for $E_{cvv}(G)$ are established.
Keywords:
energy of a graph, labeled graph, color energy of a graph, vv-coloring of a graph.
Received October 23, 2020, published October 5, 2021
Citation:
S. Udupa, R. S. Bhat, “Vertex-vertex color energy of a graph”, Sib. Èlektron. Mat. Izv., 18:2 (2021), 1027–1034
Linking options:
https://www.mathnet.ru/eng/semr1419 https://www.mathnet.ru/eng/semr/v18/i2/p1027
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Abstract page: | 77 | Full-text PDF : | 35 | References: | 18 |
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