Open Access
2000 THE NUMBER OF MAXIMUM INDEPENDENT SETS IN GRAPHS
Min-Jen Jou, Gerard J. Chang
Taiwanese J. Math. 4(4): 685-695 (2000). DOI: 10.11650/twjm/1500407302

Abstract

In this paper, we study the problem of determining the largest number of maximum independent sets of a graph of order n. Solutions to this problem are given for various classes of graphs, including general graphs, trees, forests, (connected) graphs with at most one cycle, connected graphs and triangle-free graphs. Extremal graphs achieving the maximum values are also given.

Citation

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Min-Jen Jou. Gerard J. Chang. "THE NUMBER OF MAXIMUM INDEPENDENT SETS IN GRAPHS." Taiwanese J. Math. 4 (4) 685 - 695, 2000. https://doi.org/10.11650/twjm/1500407302

Information

Published: 2000
First available in Project Euclid: 18 July 2017

zbMATH: 0967.05038
MathSciNet: MR1799763
Digital Object Identifier: 10.11650/twjm/1500407302

Subjects:
Primary: 05C30

Keywords: connected graph , cycle , distance , forest , Independent set , leaf , tree , triangle

Rights: Copyright © 2000 The Mathematical Society of the Republic of China

Vol.4 • No. 4 • 2000
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