Title
Characteristics polynomial of normalized Laplacian for trees
Abstract
Here, we find the characteristics polynomial of normalized Laplacian of a tree. The coefficients of this polynomial are expressed by the higher order general Randić indices for matching, whose values depend on the structure of the tree. We also find the expression of these indices for starlike tree and a double-starlike tree, Hm(p, q). Moreover, we show that two cospectral Hm(p, q) of the same diameter are isomorphic.
Year
DOI
Venue
2015
10.1016/j.amc.2015.09.054
Applied Mathematics and Computation
Keywords
Field
DocType
Normalized Laplacian,Characteristics polynomial,Tree,Starlike tree,Double Starlike tree,Randić index
Discrete mathematics,Mathematical optimization,Combinatorics,Normalization (statistics),Polynomial,Isomorphism,Mathematics,Laplace operator
Journal
Volume
Issue
ISSN
271
C
Appl. Math. Comput 271 (2015) 838-844
Citations 
PageRank 
References 
0
0.34
8
Authors
2
Name
Order
Citations
PageRank
Anirban Banerjee17511.29
Ranjit Mehatari241.67