Title : ( On the generalization of Cayley graphs associated to a lattice )
Authors: khosro nafar , مژگان افخمی گلی , Kazem Khashyarmanesh ,
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Abstract
Let L be a lattice. For a natural number n we associate a simple graph denoted by T^nL with L^n-{0} as the vertex set and two distinct vertices X and Y begin adjacent if and only if there exists an nxn lower triangular matrix A over L such that AX^T=YT or AYT=X^T, where for a matrix B , B^T is the matrix transpose of B. In ths talk we study some basic properties of T^nL.
Keywords
, Cayley graph, lattice, indepedece number, diameter
@inproceedings{paperid:1040115,
author = {Nafar, Khosro and مژگان افخمی گلی and Khashyarmanesh, Kazem},
title = {On the generalization of Cayley graphs associated to a lattice},
booktitle = {The 6 th Algebraic combinatorics conferance of Iran},
year = {2013},
location = {بابلسر, IRAN},
keywords = {Cayley graph; lattice; indepedece number; diameter},
}
%0 Conference Proceedings
%T On the generalization of Cayley graphs associated to a lattice
%A Nafar, Khosro
%A مژگان افخمی گلی
%A Khashyarmanesh, Kazem
%J The 6 th Algebraic combinatorics conferance of Iran
%D 2013
