Add to ORKGIn 1968, Vizing conjectured that, if G is a Δ-critical graph with n vertices, then α (G) ≤ frac(n, 2), where α (G) is the independence number of G. In this note, we apply Vizing and Vizing-like adjacency lemmas to this problem and obtain better bounds for Δ ∈ {7, ..., 19}. © 2008 Elsevier B.V. All rights reserved
The independence number of a graph G, denoted (G), is the maximum cardi- nality of an independent ...
Abstract. Let G be a simple graph of order n, and let ∆(G) and ′(G) denote the maximum degree and ch...
Vizing conjectured that G is a simple and ∆-critical graph with m edges then . In this paper we pro...
In 1968, Vizing conjectured that, if G is a Δ-critical graph with n vertices, then α (G) ≤ frac(n, 2...
AbstractIn 1968, Vizing conjectured that, if G is a Δ-critical graph with n vertices, then α(G)≤n2, ...
In 1968, Vizing conjectured that, if G is a A-critical graph with n vertices, then alpha(G) \u3c = n...
In 1968, Vizing conjectured that, if G is a Δ-critical graph with n vertices, then α (G) ≤ n / 2, wh...
In 1968, Vizing conjectured that, if G is a Δ-critical graph with n vertices, then α (G) ≤ n / 2, wh...
In 1968, Vizing conjectured that if G is a Delta-critical graph with n vertices, then alpha(G) \u3c ...
In 1968, Vizing conjectured that, if G is a Delta-critical graph with n vertices, then alpha(G) \u3c...
AbstractVizing's adjacency lemma describes an important property of edge-chromatic critical graphs. ...
Abstract. An independent set Ic is a critical independent set if |Ic|−|N(Ic) | ≥ |J | − |N(J)|, for...
AbstractAn independent set Ic is a critical independent set if |Ic|−|N(Ic)|≥|J|−|N(J)|, for any inde...
AbstractVertices of the independence graph of a graph G represent maximum independent sets of G, two...
AbstractIn edge colouring it is often useful to have information about the degree distribution of th...
The independence number of a graph G, denoted (G), is the maximum cardi- nality of an independent ...
Abstract. Let G be a simple graph of order n, and let ∆(G) and ′(G) denote the maximum degree and ch...
Vizing conjectured that G is a simple and ∆-critical graph with m edges then . In this paper we pro...
In 1968, Vizing conjectured that, if G is a Δ-critical graph with n vertices, then α (G) ≤ frac(n, 2...
AbstractIn 1968, Vizing conjectured that, if G is a Δ-critical graph with n vertices, then α(G)≤n2, ...
In 1968, Vizing conjectured that, if G is a A-critical graph with n vertices, then alpha(G) \u3c = n...
In 1968, Vizing conjectured that, if G is a Δ-critical graph with n vertices, then α (G) ≤ n / 2, wh...
In 1968, Vizing conjectured that, if G is a Δ-critical graph with n vertices, then α (G) ≤ n / 2, wh...
In 1968, Vizing conjectured that if G is a Delta-critical graph with n vertices, then alpha(G) \u3c ...
In 1968, Vizing conjectured that, if G is a Delta-critical graph with n vertices, then alpha(G) \u3c...
AbstractVizing's adjacency lemma describes an important property of edge-chromatic critical graphs. ...
Abstract. An independent set Ic is a critical independent set if |Ic|−|N(Ic) | ≥ |J | − |N(J)|, for...
AbstractAn independent set Ic is a critical independent set if |Ic|−|N(Ic)|≥|J|−|N(J)|, for any inde...
AbstractVertices of the independence graph of a graph G represent maximum independent sets of G, two...
AbstractIn edge colouring it is often useful to have information about the degree distribution of th...
The independence number of a graph G, denoted (G), is the maximum cardi- nality of an independent ...
Abstract. Let G be a simple graph of order n, and let ∆(G) and ′(G) denote the maximum degree and ch...
Vizing conjectured that G is a simple and ∆-critical graph with m edges then . In this paper we pro...