Affiliation:
1. Facultad de Matemáticas Universidad Autónoma de Guerrero Guerrero Mexico
2. Instituto de Física “Ing. Luis Rivera Terrazas” Benemérita Universidad Autónoma de Puebla Puebla Mexico
3. Departamento de Matemáticas Universidad Carlos III de Madrid Madrid Spain
Abstract
The complementary prism of
, denoted by
, is the graph obtained from the disjoint union of
and
by adding edges between the corresponding vertices of
and
. In this paper, we study the hyperbolicity constant of
. In particular, we obtain upper and lower bounds for the hyperbolicity constant, and we compute its precise value for many graphs. Moreover, we obtain bounds and closed formulas for the general topological indices
and
(where
denotes the degree of the vertex
is a symmetric function with real values, and
is a function with real values), and the generalized Wiener index
, of complementary prisms networks. Finally, we performed a numerical study of the generalized Wiener index on random graphs.
Funder
Agencia Estatal de Investigación
Comunidad de Madrid
Subject
General Engineering,General Mathematics
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3. Cycles in complementary prisms
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