Name
Abstract | ||
|---|---|---|
Let G = (V, E) be a graph. If G is a Konig graph or if G is a graph without 3-cycles and 5-cycles, we prove that the following conditions are equivalent: Delta(G) is pure shellable, R/I-Delta is Cohen-Macaulay, G is an unmixed vertex decomposable graph and G is well-covered with a perfect matching of Konig type e(1),...,e(g) without 4-cycles with two ei's. Furthermore, we study vertex decomposable and shellable (non-pure) properties in graphs without 3-cycles and 5-cycles. Finally, we give some properties and relations between critical, extendable and shedding vertices. |
Year | Venue | Keywords |
|---|---|---|
2016 | ELECTRONIC JOURNAL OF COMBINATORICS | Cohen-Macaulay,shellable,well-covered,unmixed,vertex decomposable,Konig,girth |
Field | DocType | Volume |
Graph,Discrete mathematics,Combinatorics,Vertex (geometry),Vertex (graph theory),Neighbourhood (graph theory),Matching (graph theory),Mathematics | Journal | 23 |
Issue | ISSN | Citations |
2.0 | 1077-8926 | 3 |
PageRank | References | Authors |
0.40 | 5 | 3 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| ivan dario castrillon | 1 | 3 | 0.40 |
| Roberto Cruz | 2 | 11 | 3.48 |
| Enrique Reyes | 3 | 21 | 4.56 |