Resistance Distance in the Double Corona Based on R -Graph

Li Zhang, Jing Zhao, Jia-Bao Liu and Salama Nagy Daoud
Additional contact information
Li Zhang: School of Mathematics and Physics, Anhui Jianzhu University, Hefei 230601, China
Jing Zhao: School of Mathematics and Physics, Anhui Jianzhu University, Hefei 230601, China
Jia-Bao Liu: School of Mathematics and Physics, Anhui Jianzhu University, Hefei 230601, China
Salama Nagy Daoud: Department of Mathematics, Faculty of Science, Taibah University, Al-Madinah 41411, Saudi Arabia

Mathematics, 2019, vol. 7, issue 1, 1-13

Abstract: Let G 0 be a connected graph on n vertices and m edges. The R -graph R ( G 0 ) of G 0 is a graph obtained from G 0 by adding a new vertex corresponding to each edge of G 0 and by joining each new vertex to the end points of the edge corresponding to it. Let G 1 and G 2 be graphs on n 1 and n 2 vertices, respectively. The R -graph double corona G 0 ( R ) ? { G 1 , G 2 } of G 0 , G 1 and G 2 , is the graph obtained by taking one copy of R ( G 0 ) , n copies of G 1 and m copies of G 2 and then by joining the i -th old-vertex of R ( G 0 ) to every vertex of the i -th copy of G 1 and the j -th new vertex of R ( G 0 ) to every vertex of the j -th copy of G 2 . In this paper, we consider resistance distance in G 0 ( R ) ? { G 1 , G 2 } . Moreover, we give an example to illustrate the correction and efficiency of the proposed method.

Keywords: graph; double corona; resistance distance; inverse (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2019
References: View references in EconPapers View complete reference list from CitEc
Citations:

Downloads: (external link)
https://www.mdpi.com/2227-7390/7/1/92/pdf (application/pdf)
https://www.mdpi.com/2227-7390/7/1/92/ (text/html)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:gam:jmathe:v:7:y:2019:i:1:p:92-:d:198487

Access Statistics for this article

Mathematics is currently edited by Ms. Emma He

More articles in Mathematics from MDPI
Bibliographic data for series maintained by MDPI Indexing Manager ().