Paper Info
Title
Variable Neighborhood Search for Extremal Graphs. 10. Comparison of Irregularity Indices for Chemical Trees.
Abstract
Chemical graphs, as other ones, are regular if all their vertices have the same degree. Otherwise, they are irregular, and it is of interest to measure their irregularity both for descriptive purposes and for QSAR/QSPR studies. Three indices have been proposed in the literature for that purpose: those of Collatz-Sinogowitz, of Albertson, and of Bell's variance of degrees. We study their properties for the case of chemical trees. Structural conjectures are generated with the system AutoGraphiX, and most of them proved later by mathematical means. Analytical expressions for extremal values are obtained, and extremal graphs are characterized for the two last indices.
Year
DOI
Venue
2005
10.1021/ci0342775
JOURNAL OF CHEMICAL INFORMATION AND MODELING
Field
DocType
Volume
Graph,Quantitative structure–activity relationship,Discrete mathematics,Combinatorics,Variable neighborhood search,Expression (mathematics),Vertex (geometry),Mathematics
Journal
45
Issue
ISSN
Citations 
2
1549-9596
12
PageRank 
References 
Authors
1.02
3
3
Name
Order
Citations
PageRank
Ivan Gutman1917134.74
Pierre Hansen279147.59
Hadrien Melot39514.02