The notion of neighborhood perfect graphs is introduced here as follows. Let G be a graph, ~N(G) denote the maximum number of edges such that no two of them belong to the same subgraph of G induced by the (closed) neighborhood of some vertex; let PN(G) be the minimum number of vertices whose neighbo
The Perfect Neighborhood
โ Scribed by Crow, Jo
- Year
- 2019
- Tongue
- English
- Weight
- 229 KB
- Series
- Secrets of Suburbia 3
- Category
- Fiction
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
Neighborhood conditions and edge-disjoint perfect matchings, Discrete Mathematics 91 (1991) 33-43. A graph G satisfies the neighborhood condition ANC(G) 2 m if, for all pairs of vertices of G, the union of their neighborhoods has at least m vertices. For a fixed positive integer k, let G be a graph
We introduce the class of graphs such that every induced subgraph possesses a vertex whose neighbourhood can be split into a clique and a stable set. We prove that this class satisfies Berge's strong perfect graph conjecture. This class contains several well-known classes of (perfect) graphs and is
James is a lonely boy and a computer wiz. He was abandoned by his parents when he was three years old, and he intends to find out why. While looking for answers about them and trying not to lose Sofi--the girl he desperately fell in love with--he falls into a struggle of life and death. He manages t