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The Kirchhoff Index of Quasi-Tree Graphs.
- Source :
- Zeitschrift für Naturforschung Section A: A Journal of Physical Sciences; Mar2015, Vol. 70 Issue 3, p135-139, 5p
- Publication Year :
- 2015
-
Abstract
- Resistance distance was introduced by Klein and Randić as a generalisation of the classical distance. The Kirchhoff index Kf(G) of a graph G is the sum of resistance distances between all unordered pairs of vertices. In this article we characterise the extremal graphs with the maximal Kirchhoff index among all non-trivial quasi-tree graphs of order n. Moreover, we obtain a lower bound on the Kirchhoff index for all non-trivial quasi-tree graphs of order n. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 09320784
- Volume :
- 70
- Issue :
- 3
- Database :
- Complementary Index
- Journal :
- Zeitschrift für Naturforschung Section A: A Journal of Physical Sciences
- Publication Type :
- Academic Journal
- Accession number :
- 134114536
- Full Text :
- https://doi.org/10.1515/zna-2014-0230