Computation of general Randi´c polynomial and general Randi´c energy of some graphs
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Știința și tehnologia calculatoarelor. Calculatoare. Procesarea datelor (4156)
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RAMANE, H. S., GUDODAGI, G. A.. Computation of general Randi´c polynomial and general Randi´c energy of some graphs. In: Computer Science Journal of Moldova, 2020, nr. 1(82), pp. 59-79. ISSN 1561-4042.
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Computer Science Journal of Moldova
Numărul 1(82) / 2020 / ISSN 1561-4042 /ISSNe 2587-4330

Computation of general Randi´c polynomial and general Randi´c energy of some graphs

CZU: 004+519.178+519.6
MSC 2010: 05C50, 05C07.

Pag. 59-79

Ramane H. S., Gudodagi G. A.
 
Department of Mathematics, Karnatak University
 
 
Disponibil în IBN: 24 aprilie 2020


Rezumat

The general Randi´c matrix of a graph G, denoted by GR(G) is an n × n matrix whose (i, j)-th entry is (didj) , 2 R if the vertices vi and vj are adjacent and 0 otherwise, where di is the degree of a vertex vi and n is the order of G. The general Randi´c energy EGR(G) of G is the sum of the absolute values of the eigenvalues of GR(G). In this paper, we compute the general Randi´c polynomial and the general Randi´c energy of path, cycle, complete graph, complete bipartite graph, friendship graph and Dutch windmill graph.

Cuvinte-cheie
Keywords: General Randi´c eigenvalues, general Randi´c energy, Randi´c index, Degree of a vertex