๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

A new characterization of proper interval graphs

โœ Scribed by Zygmunt Jackowski


Publisher
Elsevier Science
Year
1992
Tongue
English
Weight
379 KB
Volume
105
Category
Article
ISSN
0012-365X

No coin nor oath required. For personal study only.

โœฆ Synopsis


One of the first characterizations of interval graphs, given by Lekkerkerker and Boland (1962), uses the concept of an asteroidal triple. In this paper we give a similar characterization on the proper interval graphs using the akin concept of an astral triple.


๐Ÿ“œ SIMILAR VOLUMES


Metric characterizations of proper inter
โœ Gutierrez, M.; Oubi๏ฟฝa, L. ๐Ÿ“‚ Article ๐Ÿ“… 1996 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 393 KB ๐Ÿ‘ 2 views

A connected graph G is a tree-clique graph if there exists a spanning tree T (a compatible tree) such that every clique of G is a subtree of T. When Tis a path the connected graph G is a proper interval graph which is usually defined as intersection graph of a family of closed intervals of the real

A relationship between triangulated grap
โœ Dale J. Skrien ๐Ÿ“‚ Article ๐Ÿ“… 1982 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 319 KB ๐Ÿ‘ 1 views

## Abstract Given a set __F__ of digraphs, we say a graph __G__ is a __F__โ€__graph__ (resp., __F__\*โ€__graph__) if it has an orientation (resp., acyclic orientation) that has no induced subdigraphs isomorphic to any of the digraphs in __F__. It is proved that all the classes of graphs mentioned in

Interval digraphs: An analogue of interv
โœ S. Das; M. Sen; A. B. Roy; D. B. West ๐Ÿ“‚ Article ๐Ÿ“… 1989 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 728 KB

Intersection digraphs analogous to undirected intersection graphs are introduced. Each vertex is assigned an ordered pair of sets, with a directed edge uu in the intersection digraph when the "source set" of u intersects the "terminal set" of u. Every n-vertex digraph is an intersection digraph of o

A new characterization of median graphs
โœ Abdelhafid Berrachedi ๐Ÿ“‚ Article ๐Ÿ“… 1994 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 171 KB

A graph is Hilbertian if for any three vertices u, v and w, the interval I(u, u) contains a unique nearest vertex p from w. We show that a graph is median if and only if it is Hilbertian.

A new interval-based method to character
โœ O. Reynet; L. Jaulin ๐Ÿ“‚ Article ๐Ÿ“… 2010 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 183 KB ๐Ÿ‘ 1 views

## Abstract Estimability is a property that states the accuracy of the parameter estimation in the case of experimental data. This paper defines a new method based on interval analysis and set inversion to characterize estimability in the case of a bounded additive noise. To illustrate this new met