Date of Publication
12-2019
Document Type
Master's Thesis
Degree Name
Master of Science in Mathematics
Subject Categories
Mathematics
College
College of Science
Department/Unit
Mathematics and Statistics
Thesis Adviser
Francis Joseph H. Campeña
Abstract/Summary
A zero ring is a ring in which the product of any two elements is zero, which is the additive identity. A zero ring labeling of a graph is an assignment of distinct elements of a zero ring to the vertices of the graph such that the sum of the labels of any two adjacent vertices is not the zero element in the ring. Given a zero ring labeling of a graph, if the cardinality of the set of distinct sums obtained from all adjacent vertices is equal to the maximum degree of the graph, then the zero ring labeling is efficient. In this paper, we showed the existence of an efficient zero ring labeling for some classes of trees and their disjoint union. In particular, we showed that an efficient zero ring labeling exists for some families of the following classes of trees: path graphs, star graphs, bistars, centipede graphs, caterpillars, spiders, lobsters, and rooted trees.
Abstract Format
html
Language
English
Format
Electronic
Accession Number
CDTG007374
Keywords
Rings (Algebra); Graph labelings
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Recommended Citation
Chua, D. E. (2019). On efficient zero ring labeling of some classes of trees. Retrieved from https://animorepository.dlsu.edu.ph/etd_masteral/6297
Embargo Period
9-5-2022
