Title
Turán Graphs, Stability Number, and Fibonacci Index
Abstract
The Fibonacci index of a graph is the number of its stable sets. This parameter is widely studied and has applications in chemical graph theory. In this paper, we establish tight upper bounds for the Fibonacci index in terms of the stability number and the order of general graphs and connected graphs. Turán graphs frequently appear in extremal graph theory. We show that Turán graphs and a connected variant of them are also extremal for these particular problems.
Year
DOI
Venue
2008
10.1007/978-3-540-85097-7_12
conference on combinatorial optimization and applications
Keywords
DocType
Volume
fibonacci index,stability number,�-critical graph.,merrifield-simmons index,chemical graph theory,particular problem,general graph,stable sets,n graph,extremal graph theory,connected graph,n graphs,turan graph,stable set,connected variant
Conference
abs/0802.3284
ISSN
Citations 
PageRank 
0302-9743
0
0.34
References 
Authors
11
2
Name
Order
Citations
PageRank
Véronique Bruyère142943.59
Hadrien Melot29514.02