𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Chordal graphs, interval graphs, and wqo

✍ Scribed by Ding, Guoli


Publisher
John Wiley and Sons
Year
1998
Tongue
English
Weight
240 KB
Volume
28
Category
Article
ISSN
0364-9024

No coin nor oath required. For personal study only.

✦ Synopsis


Let be the induced-minor relation. It is shown that, for every t, all chordal graphs of clique number at most t are well-quasi-ordered by . On the other hand, if the bound on clique number is dropped, even the class of interval graphs is not well-quasi-ordered by .


πŸ“œ SIMILAR VOLUMES


Graphs whose powers are chordal and grap
✍ Flotow, Carsten πŸ“‚ Article πŸ“… 1997 πŸ› John Wiley and Sons 🌐 English βš– 127 KB πŸ‘ 2 views

The main theorem of this paper gives a forbidden induced subgraph condition on G that is sufficient for chordality of G m . This theorem is a generalization of a theorem of Balakrishnan and Paulraja who had provided this only for m = 2. We also give a forbidden subgraph condition on G that is suffi

Restricted unimodular chordal graphs
✍ Peled, Uri N.; Wu, Julin πŸ“‚ Article πŸ“… 1999 πŸ› John Wiley and Sons 🌐 English βš– 176 KB

A chordal graph is called restricted unimodular if each cycle of its vertex-clique incidence bipartite graph has length divisible by 4. We characterize these graphs within all chordal graphs by forbidden induced subgraphs, by minimal relative separators, and in other ways. We show how to construct t

Random interval graphs
✍ Nicholas Pippenger πŸ“‚ Article πŸ“… 1998 πŸ› John Wiley and Sons 🌐 English βš– 209 KB πŸ‘ 1 views

We consider models for random interval graphs that are based on stochastic service systems, with vertices corresponding to customers and edges corresponding to pairs of customers that are in the system simultaneously. The number N of vertices in a connected component thus corresponds to the number o

Tough enough chordal graphs are Hamilton
✍ Chen, Guantao; Jacobson, Michael S.; KοΏ½zdy, AndrοΏ½ E.; Lehel, Jen? πŸ“‚ Article πŸ“… 1998 πŸ› John Wiley and Sons 🌐 English βš– 152 KB πŸ‘ 2 views

We prove that every 18-tough chordal graph has a Hamiltonian cycle.

Metric characterizations of proper inter
✍ Gutierrez, M.; OubiοΏ½a, L. πŸ“‚ Article πŸ“… 1996 πŸ› John Wiley and Sons 🌐 English βš– 393 KB πŸ‘ 1 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

Well covered simplicial, chordal, and ci
✍ Prisner, Erich; Topp, Jerzy; Vestergaard, Preben Dahl πŸ“‚ Article πŸ“… 1996 πŸ› John Wiley and Sons 🌐 English βš– 427 KB πŸ‘ 1 views

A graph G is called well covered if every two maximal independent sets of G have the same number of vertices. In this paper, we,characterize well covered simplicial, chordal and circular arc graphs.