## Abstract We find the maximum number of maximal independent sets in two families of graphs. The first family consists of all graphs with __n__ vertices and at most __r__ cycles. The second family is all graphs of the first family which are connected and satisfy __n__โโฅโ3__r__. ยฉ 2006 Wiley Period
Generating cycles in graphs with at most one end
โ Scribed by Henning Bruhn
- Publisher
- John Wiley and Sons
- Year
- 2003
- Tongue
- English
- Weight
- 81 KB
- Volume
- 42
- Category
- Article
- ISSN
- 0364-9024
No coin nor oath required. For personal study only.
โฆ Synopsis
Abstract
Answering a question of Halin, we prove that in a 3โconnected graph with at most one end the cycle space is generated by induced nonโseparating cycles. ยฉ 2003 Wiley Periodicals, Inc. J Graph Theory 42: 342โ349, 2003
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