We model physical systems with ``hard constraints'' by the space Hom(G, H) of homomorphisms from a locally finite graph G to a fixed finite constraint graph H. Two homomorphisms are deemed to be adjacent if they differ on a single site of G. We investigate what appears to be a fundamental dichotomy
Graph dismantling problems
β Scribed by A. M. Dawes; J. B. Florence
- Publisher
- John Wiley and Sons
- Year
- 1983
- Tongue
- English
- Weight
- 526 KB
- Volume
- 7
- Category
- Article
- ISSN
- 0364-9024
No coin nor oath required. For personal study only.
β¦ Synopsis
Problems involving the dismantling of a digraph (graph) by removal of arcs (edges) are investigated. Some of these problems have good characterizations related to the familiar results about Euler trails, others are NP-complete.
π SIMILAR VOLUMES
A (finite or infinite) graph G is strongly dismantlable if its vertices can be linearly ordered x o ..... x~ so that, for each ordinal fl < ~, there exists a strictly increasing finite sequence (i~)0~<j~<n of ordinals such that i o = fl, i, = ct and xi~ +1 is adjacent with x~j and with all neighbors
## Abstract The aim of this note is to give an account of some recent results and state a number of conjectures concerning extremal properties of graphs.
We consider semirandom graph models for finding large independent sets, colorings, and bisections in graphs. These models generate problem instances by blending random and adversarial decisions. To generate semirandom independent set problems, an independent set S of an vertices is randomly chosen.