An undirected graph G is a circular permutation graph if it can be represented by the following intersectiori model: Each vertex of G corresponds to a chord in the annular region between two concentric circles, and two vertices are adjacent in G if and only if their corresponding chords intersect ea
Circular permutation graphs
โ Scribed by D. Rotem; J. Urrutia
- Publisher
- John Wiley and Sons
- Year
- 1982
- Tongue
- English
- Weight
- 481 KB
- Volume
- 12
- Category
- Article
- ISSN
- 0028-3045
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
Let G be a connected graph with n vertices. Let a be a permutation in S n . The a-generalized graph over G, denoted by P a (G), consists of two disjoint, identical copies of G along with edges ยฃa(ยฃ). In this paper, we investigated the relation between diameter of P a (G) and diameter of G for any pe
For 1 d k, let K k=d be the graph with vertices 0; 1; . . . ; k ร 1, in which i $ j if d ji ร jj k ร d. The circular chromatic number c รฐGร of a graph G is the minimum of those k=d for which G admits a homomorphism to K k=d . The circular clique number ! c รฐGร of G is the maximum of those k=d for wh
## Abstract The __clique graph__ of a graph is the intersection graph of its (maximal) cliques. A graph is __selfโclique__ when it is isomorphic with its clique graph, and is __cliqueโHelly__ when its cliques satisfy the Helly property. We prove that a graph is cliqueโHelly and selfโclique if and o
In this paper, we first discuss some properties of permutation polynomials over finite fields. In particular, a class of permutation binomials are introduced and a series of set complete mappings is constructed. Based on that, we present a new construction for Tuscan-l arrays with various sizes.