2010Journal of Suzhou University of Science and TechnologyRequires access

The vertex distinguishing equitable edge chromatic numbers of Mycielski graph of several kinds of graphs

Cui Jun-feng

Open publisher page 0 citations

Abstract

A proper edge coloring f of a simple graph G is called vertex distinguishing edge coloring.If u,v∈ V(G),C(u)≠C(v),C(u)={f(uv) uv∈E(G)}.If |Ei|-|Ej| ≤1(i,j=1,2,…,k),e∈Ei,f(e)=i(i=1,2,…,k),and thus f is called vertex distinguishing equitable edge coloring of graph G.In this paper,we have discussed the vertex distinguishing equitable edge coloring of Mycielski graph of several kinds of graphs.

About this research paper

What this paper is about

A proper edge coloring f of a simple graph G is called vertex distinguishing edge coloring.If u,v∈ V(G),C(u)≠C(v),C(u)={f(uv) uv∈E(G)}.If |Ei|-|Ej| ≤1(i,j=1,2,…,k),e∈Ei,f(e)=i(i=1,2,…,k),and thus f is called vertex distinguishing equitable edge coloring of graph G.In this paper,we have discussed the vertex distinguishing equitable edge coloring of Mycielski graph of several kinds of graphs.

Why it matters

A significance statement is not available in the OpenAlex record.

Key contribution

A contribution statement is not available in the OpenAlex record.

Method / approach

Method details are not available in the OpenAlex metadata.

Main findings

Findings are not separately available in the OpenAlex metadata.

Limitations

Limitations are not available in the OpenAlex metadata.

Applications

Application details are not available in the OpenAlex metadata.

Available abstract

A proper edge coloring f of a simple graph G is called vertex distinguishing edge coloring.If u,v∈ V(G),C(u)≠C(v),C(u)={f(uv) uv∈E(G)}.If |Ei|-|Ej| ≤1(i,j=1,2,…,k),e∈Ei,f(e)=i(i=1,2,…,k),and thus f is called vertex distinguishing equitable edge coloring of graph G.In this paper,we have discussed the vertex distinguishing equitable edge coloring of Mycielski graph of several kinds of graphs.

Key concepts: Combinatorics, Vertex (graph theory), Graph, Edge coloring, Mathematics, Simple graph, Chromatic scale, Windmill graph

Related papers

Back to paper searchBrowse research topicsOriginal source
The vertex distinguishing equitable edge chromatic numbers of Mycielski graph of several kinds of graphs — Research Paper | ScholarLens