Fuzzy detour g-interior nodes and fuzzy detour g-boundary nodes of a fuzzy graph

Article type: Research Article

Authors: Linda, J.P. | Sunitha, M.S.

Affiliations: Department of Mathematics, National Institute of Technology, Calicut, India

Note: [] Corresponding author. J.P. Linda, Department of Mathematics, National Institute of Technology, Calicut - 673 601, India. E-mail: [email protected]

Abstract: The concepts of coverage and connectivity plays an important role in both theory and application of fuzzy graphs. In this paper a characterization of fuzzy detour g-eccentric node is obtained. The concepts of fuzzy detour g-boundary nodes and fuzzy detour g-interior nodes in a fuzzy graph are introduced. We demonstrate the relationship between fuzzy cut node and fuzzy detour g-boundary node. Also some properties of fuzzy detour g-boundary nodes, fuzzy detour g-interior nodes and complete nodes are discussed. Fuzzy detour g-interior node and fuzzy detour g-boundary node of a fuzzy tree are characterized using its maximum spanning tree.

Keywords: Fuzzy detour g-interior, fuzzy detour g-boundary

DOI: 10.3233/IFS-131011

Journal: Journal of Intelligent & Fuzzy Systems, vol. 27, no. 1, pp. 435-442, 2014