๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

Intrinsic Chirality of 3-Connected Graphs

โœ Scribed by Erica Flapan; Nikolai Weaver


Publisher
Elsevier Science
Year
1996
Tongue
English
Weight
251 KB
Volume
68
Category
Article
ISSN
0095-8956

No coin nor oath required. For personal study only.

โœฆ Synopsis


We characterize which 3-connected graphs are intrinsically chiral in terms of whether or not a certain type of graph automorphism exists.


๐Ÿ“œ SIMILAR VOLUMES


Extremal 3-connected graphs
โœ Stephen C. Locke ๐Ÿ“‚ Article ๐Ÿ“… 1988 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 686 KB

Let G be a 3-connected graph with minimum degree at least d and at least 2d vertices. For any three distinct vertices X, y, z there is a path from x to z through y and having length at least M -2. In this paper, we characterize those graphs for which no such path has length exceeding 2d -2. ## I.

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
Counting labelled 3-connected graphs
โœ Nicholas Wormald ๐Ÿ“‚ Article ๐Ÿ“… 1977 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 62 KB
Minimum 3-geodetically connected graphs
โœ Martina Bosฤฑฬkovรก ๐Ÿ“‚ Article ๐Ÿ“… 2003 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 793 KB

A graph G is k-geodetically connected (k-GC) if it is connected and the removal of at least k vertices is required to increase the distance between at least one pair of vertices or reduce G to a single vertex. We completely characterize the class of minimum 3-GC graphs that have the fewest edges for

2-Connected Spanning Subgraphs of Planar
โœ D.W. Barnette ๐Ÿ“‚ Article ๐Ÿ“… 1994 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 278 KB

We prove that every planar 3-connected graph has a 2-connected spanning subgraph of maximum valence 15 . We give an example of a planar 3 -connected graph with no spanning 2-connected subgraph of maximum valence five. i) 1994 Academic Press, Inc.