It is well known that any finite simple graph Ξ is an induced subgraph of some exponentially larger strongly regular graph Ξ (e.g., [2,8]). No general polynomial-size construction has been known. For a given finite simple graph Ξ on v vertices, we present a construction of a strongly regular graph Ξ
Deza graphs: A generalization of strongly regular graph
β Scribed by M. Erickson; S. Fernando; W. H. Haemers; D. Hardy; J. Hemmeter
- Publisher
- John Wiley and Sons
- Year
- 1999
- Tongue
- English
- Weight
- 139 KB
- Volume
- 7
- Category
- Article
- ISSN
- 1063-8539
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
The construction of complete lists of regular graphs up to isomorphism is one of the oldest problems in constructive combinatorics. In this article an efficient algorithm to generate regular graphs with a given number of vertices and vertex degree is introduced. The method is based on orderly genera
In this article, we show that every simple r-regular graph G admits a balanced P 4 -decomposition if r β‘ 0(mod 3) and G has no cut-edge when r is odd. We also show that a connected 4-regular graph G admits a P 4 -decomposition if and only if |E(G)| β‘ 0(mod 3) by characterizing graphs of maximum degr
It is shown that for each r G 3, a random r-regular graph on 2 n vertices is equivalent in a certain sense to a set of r randomly chosen disjoint perfect matchings of the 2 n vertices, as n Βͺ Ο±. This equivalence of two sequences of probabilistic spaces, called contiguity, occurs when all events almo
We discuss a discrete version of Sunada's Theorem on isospectral manifolds, which allows the generation of isospectral simple graphs, i.e., nonisomorphic simple graphs that have the same Laplace spectrum. We also consider additional boundary conditions and Buser's transplantation technique applied t
If rjn Γ 1 and rn is even, then K n can be expressed as the union of t nΓ1 r edgedisjoint isomorphic r-regular r-connected factors.