𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Quasi-threshold graphs

✍ Scribed by Yan Jing-Ho; Chen Jer-Jeong; Gerard J. Chang


Publisher
Elsevier Science
Year
1996
Tongue
English
Weight
589 KB
Volume
69
Category
Article
ISSN
0166-218X

No coin nor oath required. For personal study only.


πŸ“œ SIMILAR VOLUMES


Box-threshold graphs
✍ Uri N. Peled; Bruno Simeone πŸ“‚ Article πŸ“… 1984 πŸ› John Wiley and Sons 🌐 English βš– 608 KB

A graph is called box-threshold when all pairs of vertices with incomparable neighborhoods have the same degree. Several properties of box-threshold graphs, generalizing properties of threshold graphs, are proved. A transportation model with priority constraints is used to characterize their degree

Threshold tolerance graphs
✍ Clyde L. Monma; Bruce Reed; William T. Trotter Jr. πŸ“‚ Article πŸ“… 1988 πŸ› John Wiley and Sons 🌐 English βš– 994 KB

In this paper, we introduce a class of graphs that generalize threshold graphs by introducing threshold tolerances. Several characterizations of these graphs are presented, one of which leads to a polynomial-time recognition algorithm. It is also shown that the complements of these graphs contain in

Hamiltonian threshold graphs
✍ Frank Harary; Uri Peled πŸ“‚ Article πŸ“… 1987 πŸ› Elsevier Science 🌐 English βš– 258 KB
Coloring quasi-line graphs
✍ Maria Chudnovsky; Alexandra Ovetsky πŸ“‚ Article πŸ“… 2006 πŸ› John Wiley and Sons 🌐 English βš– 127 KB

## Abstract A graph __G__ is a quasi‐line graph if for every vertex __v__, the set of neighbors of __v__ can be expressed as the union of two cliques. The class of quasi‐line graphs is a proper superset of the class of line graphs. A theorem of Shannon's implies that if __G__ is a line graph, then

Quasi-claw-free graphs
✍ A. Ainouche πŸ“‚ Article πŸ“… 1998 πŸ› Elsevier Science 🌐 English βš– 645 KB

A graph G is quasi claw-free if it satisfies the property: This property is satisfied if in particular u does not center a claw (induced K1.3). Many known results on claw-free graphs, dealing with matching and hamiltonicity are extended to the larger class of quasi-claw-free graphs.

Recognizing quasi-triangulated graphs
✍ Jeremy P Spinrad πŸ“‚ Article πŸ“… 2004 πŸ› Elsevier Science 🌐 English βš– 206 KB

This paper discusses a method for recognizing certain graph classes based on elimination schemes more e ciently. We reduce the time bound for recognizing quasi-triangulated graphs from O(n 3 ) to O(n 2:77 ), and perfect elimination bipartite and cop-win graphs from O(n 3 ) to O(n 3 =log n).