Title
Extremal cacti of given matching number with respect to the distance spectral radius
Abstract
A cactus is a connected graph in which any two cycles have at most one common vertex. The distance spectral radius ź(G) of a graph G is the largest eigenvalue of the distance matrix D(G). Recently, many researchers proposed the use of ź(G) as a molecular structure descriptor of alkanes. In this paper, we characterize n-vertex cyclic cactus with given matching number m which minimizes the distance spectral radius. The resulting cactus also minimizes the Hosoya index, the Wiener index and the Randić index in the same class of graphs.
Year
DOI
Venue
2016
10.1016/j.amc.2016.06.031
Applied Mathematics and Computation
Keywords
Field
DocType
Distance spectral radius,Cactus,Matching number,Perfect matching
Combinatorics,Wiener index,Spectral radius,Vertex (geometry),Hosoya index,Matching (graph theory),Distance matrix,Connectivity,Mathematics,Eigenvalues and eigenvectors
Journal
Volume
Issue
ISSN
291
C
0096-3003
Citations 
PageRank 
References 
0
0.34
7
Authors
2
Name
Order
Citations
PageRank
Minjie Zhang125530.01
Shuchao Li218335.15