𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Unit Interval Graphs of Open and Closed Intervals

✍ Scribed by Dieter Rautenbach; Jayme L. Szwarcfiter


Book ID
112121116
Publisher
John Wiley and Sons
Year
2012
Tongue
English
Weight
563 KB
Volume
72
Category
Article
ISSN
0364-9024

No coin nor oath required. For personal study only.


πŸ“œ SIMILAR VOLUMES


Open-interval graphs versus closed-inter
✍ P. Frankl; H. Maehara πŸ“‚ Article πŸ“… 1987 πŸ› Elsevier Science 🌐 English βš– 218 KB

A graph G = (V, E) is said to be represented by a family F of nonempty sets if there is a bijection f:V--\*F such that uv ~E if and only iff(u)Nf(v)q=~. It is proved that if G is a countable graph then G can be represented by open intervals on the real line if and only if G can be represented by clo

Mixed unit interval graphs
✍ Mitre C. Dourado; Van Bang Le; FΓ‘bio Protti; Dieter Rautenbach; Jayme L. Szwarcf πŸ“‚ Article πŸ“… 2012 πŸ› Elsevier Science 🌐 English βš– 254 KB
Integral mixed unit interval graphs
✍ Le, Van Bang; Rautenbach, Dieter πŸ“‚ Article πŸ“… 2013 πŸ› Elsevier Science 🌐 English βš– 417 KB
Unit and single point interval graphs
✍ Dieter Rautenbach; Jayme L. Szwarcfiter πŸ“‚ Article πŸ“… 2012 πŸ› Elsevier Science 🌐 English βš– 250 KB
Interval graphs and interval orders
✍ Peter C. Fishburn πŸ“‚ Article πŸ“… 1985 πŸ› Elsevier Science 🌐 English βš– 949 KB

This paper explores the intimate connection between finite interval graphs and interval orders. Special attention is given to the family of interval orders that agree with, or provide representations of, an interval graph. Two characterizations (one by P. Hanlon) of interval graphs with essentially