Title of article :
The minimum span of L(2,1)-labelings of certain generalized Petersen graphs Original Research Article
Author/Authors :
Sarah Spence Adams، نويسنده , , Jonathan Cass، نويسنده , , Matthew Tesch، نويسنده , , Denise Sakai Troxell، نويسنده , , Cody Wheeland، نويسنده ,
Issue Information :
روزنامه با شماره پیاپی سال 2007
Abstract :
In the classical channel assignment problem, transmitters that are sufficiently close together are assigned transmission frequencies that differ by prescribed amounts, with the goal of minimizing the span of frequencies required. This problem can be modeled through the use of an L(2,1)-labeling, which is a function f from the vertex set of a graph
Article Outline
1. Introduction
2. Meeting the general lower bound on the λ-number of GPGs
3. Exact λ-numbers for GPGs of order 5, 7, 8
4. A subclass of GPGs: the n-stars
5. Conclusions
Acknowledgment
References
Keywords :
L(2 , 1)-labeling , 1)-coloring , Distance two labeling , Graph labeling , L(2 , Generalized Petersen graph , Channel assignment
Journal title :
Discrete Applied Mathematics
Journal title :
Discrete Applied Mathematics