Jayagopal R

Mathematics

School of Advanced Sciences

Chennai Campus

Fulltext

Vellore Institute of Technology (VIT) is a private university located in&nbsp;Tamil Nadu, India. Founded in 1984, as Vellore Engineering College, the institution offers 20 undergraduate, 34 postgraduate, four integrated and four research programs. It has campuses in Vellore, Amravati, Bhopal and Chennai.

VIT is one of the top ranked private universities in India according to NIRF, THE and QS Rankings.&nbsp;Govt. of India has recognized&nbsp;VIT, Vellore as an&nbsp;Institution of Eminence. This has allowed VIT to take independent quality initiatives and move up in world ranking.

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VIT University

Discrete Applied Mathematics

A locating-dominating set (LDS) of a graph G is a dominating set S of G such that for every two vertices u and v in V(G)∖S, N(u)∩S≠N(v)∩S. The locating-domination number γL(G) is the minimum cardinality of a LDS of G. Further if S is a total dominating set then S is called a locating-total dominating set. In this paper we determine the domination, total domination, locating-domination and locating-total domination numbers for hypertrees and sibling trees. © 2020 Elsevier B.V.

Domination parameters in hypertrees and sibling trees

Fundamentals of Domination in Graphs

Bounds on the locating-total domination number of a tree

Discussiones Mathematicae Graph Theory

A characterization of locating-total domination edge critical graphs

Locating and paired-dominating sets in graphs

Discrete Mathematics

A survey of selected recent results on total domination in graphs

Locating-total domination in graphs

Journal	Data powered by TypesetDiscrete Applied Mathematics
Publisher	Data powered by TypesetElsevier BV
ISSN	0166-218X
Open Access	Yes