## Abstract Let __C__ be a longest cycle in the 3โconnected graph __G__ and let __H__ be a component of __G__โโโ__V__(__C__) such that |__V__(__H__)|โโฅโ3. We supply estimates of the form |__C__|โโฅโ2__d__(__u__)โ+โ2__d__(__v__)โโโฮฑ(4โโคโฮฑโโคโ8), where __u__,__v__ are suitably chosen nonโadjacent verti
Convex Programming and Circumference of 3-Connected Graphs of Low Genus
โ Scribed by Zhicheng Gao; Xingxing Yu
- Publisher
- Elsevier Science
- Year
- 1997
- Tongue
- English
- Weight
- 376 KB
- Volume
- 69
- Category
- Article
- ISSN
- 0095-8956
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
A well-known Tutte's theorem claims that every 3-connected planar graph has a convex embedding into the plane. Tutte's arguments also show that, moreover, for every nonseparating cycle C of a 3-connected graph G, there exists a convex embedding of G such that C is a boundary of the outer face in thi
## Abstract A graph __G__ is 3โdomination critical if its domination number ฮณ is 3 and the addition of any edge decreases ฮณ by 1. Let __G__ be a 3โconnected 3โdomination critical graph of order __n__. In this paper, we show that there is a path of length at least __n__โ2 between any two distinct ve
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