ON TWO-DIMENSIONAL CAYLEY GRAPHS

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BEHTOEI ALI; Golkhandy Pour Yaser

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Journal Paper

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Journal: Algebraic structures and their applications Year:2017 | Volume:4 | Issue:1 Page(s): 43-50

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Information Journal Paper

Title

ON TWO-DIMENSIONAL CAYLEY GRAPHS

Author(s)

BEHTOEI ALI | Golkhandy Pour Yaser | Issue Writer Certificate

Keywords

Resolving set

Metric dimension

Cayley graph

Dihedral group

Abstract

A subset W of the vertices of a graph G is a Resolving set for G when for each pair of distinct vertices u; v 2 V (G) there exists w 2 W such that d(u; w) ̸ = d(v; w). The cardinality of a minimum Resolving set for G is the Metric dimension of G. This concept has applications in many diverse areas including network discovery, robot navigation, image processing, combinatorial search and optimization. The problem of nding Metric dimension is NP-complete for general graphs but the Metric dimension of trees can be obtained using a polynomial time algorithm. In this paper, we investigate the Metric dimension of Cayley graphs on Dihedral groups and we characterize a family of them.

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APA: Copy

BEHTOEI, ALI, & Golkhandy Pour, Yaser. (2017). ON TWO-DIMENSIONAL CAYLEY GRAPHS. ALGEBRAIC STRUCTURES AND THEIR APPLICATIONS, 4(1), 43-50. SID. https://sid.ir/paper/354237/en

Vancouver: Copy

BEHTOEI ALI, Golkhandy Pour Yaser. ON TWO-DIMENSIONAL CAYLEY GRAPHS. ALGEBRAIC STRUCTURES AND THEIR APPLICATIONS[Internet]. 2017;4(1):43-50. Available from: https://sid.ir/paper/354237/en

IEEE: Copy

ALI BEHTOEI, and Yaser Golkhandy Pour, “ON TWO-DIMENSIONAL CAYLEY GRAPHS,” ALGEBRAIC STRUCTURES AND THEIR APPLICATIONS, vol. 4, no. 1, pp. 43–50, 2017, [Online]. Available: https://sid.ir/paper/354237/en

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