Resistance Distance in the Double Corona Based on R-Graph
School of Mathematics and Physics, Anhui Jianzhu University, Hefei 230601, China
Department of Mathematics, Faculty of Science, Taibah University, Al-Madinah 41411, Saudi Arabia
Department of Mathematics and Computer Science, Faculty of Science, Menoufia University, Shebin EI Kom 32511, Egypt
Author to whom correspondence should be addressed.
Received: 19 December 2018 / Revised: 13 January 2019 / Accepted: 14 January 2019 / Published: 17 January 2019
be a connected graph on n
vertices and m
edges. The R
is a graph obtained from
by adding a new vertex corresponding to each edge of
and by joining each new vertex to the end points of the edge corresponding to it. Let
be graphs on
vertices, respectively. The R
-graph double corona
, is the graph obtained by taking one copy of
and then by joining the i
-th old-vertex of
to every vertex of the i
-th copy of
and the j
-th new vertex of
to every vertex of the j
-th copy of
. In this paper, we consider resistance distance in
. Moreover, we give an example to illustrate the correction and efficiency of the proposed method.
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MDPI and ACS Style
Zhang, L.; Zhao, J.; Liu, J.-B.; Daoud, S.N. Resistance Distance in the Double Corona Based on R-Graph. Mathematics 2019, 7, 92.
Zhang L, Zhao J, Liu J-B, Daoud SN. Resistance Distance in the Double Corona Based on R-Graph. Mathematics. 2019; 7(1):92.
Zhang, Li; Zhao, Jing; Liu, Jia-Bao; Daoud, Salama N. 2019. "Resistance Distance in the Double Corona Based on R-Graph." Mathematics 7, no. 1: 92.
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