MATEC Web of Conferences
Volume 31, 20152015 7th International Conference on Mechanical and Electronics Engineering (ICMEE 2015)
|Number of page(s)||3|
|Section||Computer network and communication system|
|Published online||23 November 2015|
The research of (2,1)-total labelling of trees basen on Frequency Channel Assignment problem
Department of Fundamental Courses, Ningbo Institute of Technology, Zhejiang Univ., Ningbo 315100, China
a Corresponding author: email@example.com
Let T be a tree, Let DΔ(T) denote the set of integers k for which there exist two distinct vertices of maximum degree of distance at k in T. The (2,1)-total labelling number of a graph G is the width of the smallest range of integers that suffices to label the vertices and the edges of G such that no two adjacent vertices have the same label, no two adjacent edges have the same label and the difference between the labels of a vertex and its incident edges is at least 2. In this paper, we prove that if T is a tree with Δ≥5 and 3,4∉DΔ(T), then T is Type 1.
© Owned by the authors, published by EDP Sciences, 2015
This is an Open Access article distributed under the terms of the Creative Commons Attribution License 4.0, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.