The Linear 2- and 4-Arboricity of Complete Bipartite Graph Km,n

Joint Authors

Zuo, Liancui
He, Shengjie
Xue, Bing

Source

International Journal of Combinatorics

Issue

Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-6, 6 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2013-12-30

Country of Publication

Egypt

No. of Pages

6

Main Subjects

Mathematics

Abstract EN

A linear k-forest of an undirected graph G is a subgraph of G whose components are paths with lengths at most k.

The linear k-arboricity of G, denoted by lak(G), is the minimum number of linear k-forests needed to decompose G.

In case the lengths of paths are not restricted, we then have the linear arboricity of G, denoted by la(G).

In this paper, the exact value of the linear 2- and 4-arboricity of complete bipartite graph Km,n for some m and n is obtained.

American Psychological Association (APA)

Zuo, Liancui& Xue, Bing& He, Shengjie. 2013. The Linear 2- and 4-Arboricity of Complete Bipartite Graph Km,n. International Journal of Combinatorics،Vol. 2013, no. 2013, pp.1-6.
https://search.emarefa.net/detail/BIM-476605

Modern Language Association (MLA)

Zuo, Liancui…[et al.]. The Linear 2- and 4-Arboricity of Complete Bipartite Graph Km,n. International Journal of Combinatorics No. 2013 (2013), pp.1-6.
https://search.emarefa.net/detail/BIM-476605

American Medical Association (AMA)

Zuo, Liancui& Xue, Bing& He, Shengjie. The Linear 2- and 4-Arboricity of Complete Bipartite Graph Km,n. International Journal of Combinatorics. 2013. Vol. 2013, no. 2013, pp.1-6.
https://search.emarefa.net/detail/BIM-476605

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-476605