J4 ›› 2011, Vol. 24 ›› Issue (4): 69-72.

• Content • Previous Articles     Next Articles

Several N(p,q) label issues of a graph

 CAO Meng-Meng, SUN Lei   

  1. Department of Mathematics, Shandong Normal University, Jinan 250014, China
  • Published:2011-08-20 Online:2011-08-20

Abstract:

       This paper presents two definitions for neighborhood restrictions labels of a graph, semitotal neighborhood restrictions label SN(p,q) and total neighborhood restrictions label TN(p,q).SN(p,q) is a normal label that only restricts the neighborhood of part dots.TN(p,q) is a normal label that restricts the neighborhood of all dots. Semitotal neighborhood restrictions label number and total neighborhood restrictions label number of a graph G are SLp,q(G) and TLp,q(G).This paper gives the bounds of SLp,q(G) and TLp,q(G) of some graphs.

Key words: semitotal neighborhood restrictions label, total neighborhood restrictions label, complete graph, bipartite graphs

CLC Number: 

  • O157.5

Open Access This article is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License (CC BY-NC 4.0), which permits third parties to freely share (i.e., copy and redistribute the material in any medium or format) and adapt (i.e., remix, transform, or build upon the material) the articles published in this journal, provided that appropriate credit is given, a link to the license is provided, and any changes made are indicated. The material may not be used for commercial purposes. For details of the CC BY-NC 4.0 license, please visit: https://creativecommons.org/licenses/by-nc/4.0