Turán Graphs, Stability Number, and Fibonacci Index

Details Turán Graphs, Stability Number, and Fibonacci Index Turán Graphs, Stability Number, and Fibonacci Index

2008-02-22

arxiv.org/abs/0802.3284v1

Computer Science

Discrete Mathematics

11 pages, 3 figures

Scientific paper

10.1007/978-3-540-85097-7_12

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. Tur\'an graphs frequently appear in extremal graph theory. We show that Tur\'an graphs and a connected variant of them are also extremal for these particular problems.

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