๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

A characterization of n-component graphs

โœ Scribed by Claude A. Christen; Giovanni Coray; Stanley M. Selkow


Publisher
Elsevier Science
Year
1996
Tongue
English
Weight
130 KB
Volume
149
Category
Article
ISSN
0012-365X

No coin nor oath required. For personal study only.

โœฆ Synopsis


The n-component graph of a graph G is the intersection graph having a point corresponding to each n-component of G and a line joining two points whenever the corresponding n-components of G share at least one point. We give a characterization of graphs which are n-component graphs of some graph, thus generalizing a theorem of .


๐Ÿ“œ SIMILAR VOLUMES


A characterization of absolute retracts
โœ Erwin Pesch; Werner Poguntke ๐Ÿ“‚ Article ๐Ÿ“… 1985 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 301 KB

A recursive characterization of the absolute retracts in the class of n-chromatic (connected) graphs is given.

A characterization of Seymour graphs
โœ Ageev, A. A.; Kostochka, A. V.; Szigeti, Z. ๐Ÿ“‚ Article ๐Ÿ“… 1997 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 105 KB ๐Ÿ‘ 1 views

A connected undirected graph G is called a Seymour graph if the maximum number of edge disjoint T -cuts is equal to the cardinality of a minimum T -join for every even subset T of V (G). Several families of graphs have been shown to be subfamilies of Seymour graphs (Seymour

A characterization of ptolemaic graphs
โœ Edward Howorka ๐Ÿ“‚ Article ๐Ÿ“… 1981 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 466 KB

A connected graph G is ptolernaic provided that for each four vertices u,, 1 5 i 5 4, of G, the six distances d, =dG (u,ui), i f j satisfy the inequality d,2d34 5 d,3d24 + d,4d23 (shown by Ptolemy t o hold in Euclidean spaces). Ptolemaic graphs were first investigated by Chartrand and Kay, who showe

A characterization of ?-outerplanar grap
โœ Wargo, Lawrence ๐Ÿ“‚ Article ๐Ÿ“… 1996 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 528 KB

Chartrand and Harary have shown that if G is a non-outerplanar graph such that, for every edge e, both the deletion G \ e and the contraction G/e of e from G are outerplanar, then G is isomorphic to K4 or K2,3. An a-outerplanar graph is a graph which is not outerplanar such that, for some edge a , b

A characterization of radius-critical gr
โœ Siemion Fajtlowicz ๐Ÿ“‚ Article ๐Ÿ“… 1988 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 201 KB

A graph G is radius-critical if every proper induced connected subgraph of G has radius strictly smaller than the original graph. Our main purpose is to characterize all such graphs. 1. By a graph we shall mean here a finite, simple, undirected graph. For a connected graph the distance between two