๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

Convex Programming and Circumference of 3-Connected Graphs of Low Genus

โœ 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.


๐Ÿ“œ SIMILAR VOLUMES


Degree bounds for the circumference of 3
โœ Heinz A. Jung; Elkin Vumar ๐Ÿ“‚ Article ๐Ÿ“… 2005 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 229 KB ๐Ÿ‘ 1 views

## Abstract Let __C__ be a longest cycle in the 3โ€connected graph __G__ and let __H__ be a component of __G__โ€‰โˆ’โ€‰__V__(__C__) such that |__V__(__H__)|โ€‰โ‰ฅโ€‰3. We supply estimates of the form |__C__|โ€‰โ‰ฅโ€‰2__d__(__u__)โ€‰+โ€‰2__d__(__v__)โ€‰โˆ’โ€‰ฮฑ(4โ€‰โ‰คโ€‰ฮฑโ€‰โ‰คโ€‰8), where __u__,__v__ are suitably chosen nonโ€adjacent verti

On convex embeddings of planar 3-connect
โœ Kelmans, Alexander ๐Ÿ“‚ Article ๐Ÿ“… 2000 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 167 KB ๐Ÿ‘ 2 views

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

Cyclability of 3-connected graphs
โœ Amel Harkat-Benhamdine; Hao Li; Feng Tian ๐Ÿ“‚ Article ๐Ÿ“… 2000 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 151 KB ๐Ÿ‘ 1 views
Codiameters of 3-connected 3-domination
โœ Yaojun Chen; Feng Tian; Bing Wei ๐Ÿ“‚ Article ๐Ÿ“… 2001 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 110 KB

## Abstract A graph __G__ is 3โ€domination critical if its domination number ฮณ is 3 and the addition of any edge decreases ฮณ by 1. Let __G__ be a 3โ€connected 3โ€domination critical graph of order __n__. In this paper, we show that there is a path of length at least __n__โˆ’2 between any two distinct ve

2-connected 7-coverings of 3-connected g
โœ Ken-ichi Kawarabayashi; Atsuhiro Nakamoto; Katsuhiro Ota ๐Ÿ“‚ Article ๐Ÿ“… 2003 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 116 KB ๐Ÿ‘ 1 views

## Abstract An __m__โ€__covering__ of a graph __G__ is a spanning subgraph of __G__ with maximum degree at most __m__. In this paper, we shall show that every 3โ€connected graph on a surface with Euler genus __k__โ€‰โ‰ฅโ€‰2 with sufficiently large representativity has a 2โ€connected 7โ€covering with at most

Critical graphs for subpancyclicity of 3
โœ Ronald J. Gould; Tomasz ลuczak; Florian Pfender ๐Ÿ“‚ Article ๐Ÿ“… 2009 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 173 KB

## Abstract Let ${\cal{F}}\_{k}$ be the family of graphs __G__ such that all sufficiently large __k__ โ€connected clawโ€free graphs which contain no induced copies of __G__ are subpancyclic. We show that for every __k__โ‰ฅ3 the family ${\cal{F}}\_{1}k$ is infinite and make the first step toward the c