Geodesic
Vertex-vertex color energy of a graph
Sibirskie èlektronnye matematičeskie izvestiâ, Tome 18 (2021) no. 2, pp. 1027-1034

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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. 
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     author = {S. Udupa and R. S. Bhat},
     title = {Vertex-vertex color energy of a graph},
     journal = {Sibirskie \`elektronnye matemati\v{c}eskie izvesti\^a},
     pages = {1027--1034},
     publisher = {mathdoc},
     volume = {18},
     number = {2},
     year = {2021},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SEMR_2021_18_2_a38/}
}
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S. Udupa; R. S. Bhat. Vertex-vertex color energy of a graph. Sibirskie èlektronnye matematičeskie izvestiâ, Tome 18 (2021) no. 2, pp. 1027-1034. http://geodesic.mathdoc.fr/item/SEMR_2021_18_2_a38/