The Partition Dimension of Bridge Graphs from Homogeneous Caterpillars and Cycle

Amrullah, Syahrul A., Harry S., Anwar Y. S., M. Turmuzi

2018

Abstract

The partition dimension of graph is one of open problem in the graph theory. Investigation of the problem can be solved by operations of graph. Several operations that are known is the partition dimension of corona product, cartesian product, subdivision operation. In this paper, the partition dimension is investigated by a bridge operation. Let , be two connected graphs and let and . The Bridge graph, is a graph which obtained from two graphs , with a linking to . This paper is devoted to find the partition dimension of the bridge graph from homogeneous caterpillars and the cycle graphs.

Paper Citation

in Harvard Style

Amrullah., A. S., S. H., Turmuzi M. and Y. S. A. (2018). The Partition Dimension of Bridge Graphs from Homogeneous Caterpillars and Cycle.In Proceedings of the International Conference on Mathematics and Islam - Volume 1: ICMIs, ISBN 978-989-758-407-7, pages 217-221. DOI: 10.5220/0008519602170221

in Bibtex Style

@conference{icmis18,
author={Amrullah and Syahrul A. and Harry S. and M. Turmuzi and Anwar Y. S.},
title={The Partition Dimension of Bridge Graphs from Homogeneous Caterpillars and Cycle},
booktitle={Proceedings of the International Conference on Mathematics and Islam - Volume 1: ICMIs,},
year={2018},
pages={217-221},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0008519602170221},
isbn={978-989-758-407-7},
}

in EndNote Style

TY - CONF

JO - Proceedings of the International Conference on Mathematics and Islam - Volume 1: ICMIs,
TI - The Partition Dimension of Bridge Graphs from Homogeneous Caterpillars and Cycle
SN - 978-989-758-407-7
AU - Amrullah.
AU - A. S.
AU - S. H.
AU - Turmuzi M.
AU - Y. S. A.
PY - 2018
SP - 217
EP - 221
DO - 10.5220/0008519602170221