The Resistance Distance and Kirchhoff Index on Quadrilateral Graph and Pentagonal Graph

The quadrilateral graph Q(G) is obtained from G by replacing each edge in G with two parallel paths of length 1 and 3, whereas the pentagonal graph W(G) is obtained from G by replacing each edge in G with two parallel paths of length 1 and 4. In this paper, closed-form formulas of resistance distanc...

Full description

Bibliographic Details
Main Author:	Qun Liu
Format:	Article
Language:	English
Published:	IEEE 2019-01-01
Series:	IEEE Access
Subjects:	Kirchhoff index resistance distance generalized inverse
Online Access:	https://ieeexplore.ieee.org/document/8673743/

id	doaj-cae5818b76c54a48920ee8acae86e39b
record_format	Article
spelling	doaj-cae5818b76c54a48920ee8acae86e39b2021-03-29T22:16:47ZengIEEEIEEE Access2169-35362019-01-017366173662210.1109/ACCESS.2019.29020128673743The Resistance Distance and Kirchhoff Index on Quadrilateral Graph and Pentagonal GraphQun Liu0https://orcid.org/0000-0002-5427-9284School of Mathematics and Statistics, Hexi University, Zhangye, ChinaThe quadrilateral graph Q(G) is obtained from G by replacing each edge in G with two parallel paths of length 1 and 3, whereas the pentagonal graph W(G) is obtained from G by replacing each edge in G with two parallel paths of length 1 and 4. In this paper, closed-form formulas of resistance distance and Kirchhoff index for quadrilateral graph and pentagonal graph are obtained whenever G is an arbitrary graph.https://ieeexplore.ieee.org/document/8673743/Kirchhoff indexresistance distancegeneralized inverse
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Qun Liu
spellingShingle	Qun Liu The Resistance Distance and Kirchhoff Index on Quadrilateral Graph and Pentagonal Graph IEEE Access Kirchhoff index resistance distance generalized inverse
author_facet	Qun Liu
author_sort	Qun Liu
title	The Resistance Distance and Kirchhoff Index on Quadrilateral Graph and Pentagonal Graph
title_short	The Resistance Distance and Kirchhoff Index on Quadrilateral Graph and Pentagonal Graph
title_full	The Resistance Distance and Kirchhoff Index on Quadrilateral Graph and Pentagonal Graph
title_fullStr	The Resistance Distance and Kirchhoff Index on Quadrilateral Graph and Pentagonal Graph
title_full_unstemmed	The Resistance Distance and Kirchhoff Index on Quadrilateral Graph and Pentagonal Graph
title_sort	resistance distance and kirchhoff index on quadrilateral graph and pentagonal graph
publisher	IEEE
series	IEEE Access
issn	2169-3536
publishDate	2019-01-01
description	The quadrilateral graph Q(G) is obtained from G by replacing each edge in G with two parallel paths of length 1 and 3, whereas the pentagonal graph W(G) is obtained from G by replacing each edge in G with two parallel paths of length 1 and 4. In this paper, closed-form formulas of resistance distance and Kirchhoff index for quadrilateral graph and pentagonal graph are obtained whenever G is an arbitrary graph.
topic	Kirchhoff index resistance distance generalized inverse
url	https://ieeexplore.ieee.org/document/8673743/
work_keys_str_mv	AT qunliu theresistancedistanceandkirchhoffindexonquadrilateralgraphandpentagonalgraph AT qunliu resistancedistanceandkirchhoffindexonquadrilateralgraphandpentagonalgraph
_version_	1724192005430444032

The Resistance Distance and Kirchhoff Index on Quadrilateral Graph and Pentagonal Graph

Similar Items