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Full-Text Articles in Other Mathematics
Radio Number For Fourth Power Paths, Linda V. Alegria
Radio Number For Fourth Power Paths, Linda V. Alegria
Electronic Theses, Projects, and Dissertations
A path on n vertices, denoted by Pn, is a simple graph whose vertices can be ordered so that two vertices are adjacent if and only if they are consecutive in the order. A fourth power path, Pn4, is obtained from Pn by adding edges between any two vertices, u and v, whose distance in Pn, denoted by dPn(u,v), is less than or equal to four. The diameter of a graph G, denoted diam(G) is the greatest distance between any two distinct vertices of G. A radio labeling of a graph G is a function f that assigns to each …
Monoid Rings And Strongly Two-Generated Ideals, Brittney M. Salt
Monoid Rings And Strongly Two-Generated Ideals, Brittney M. Salt
Electronic Theses, Projects, and Dissertations
This paper determines whether monoid rings with the two-generator property have the strong two-generator property. Dedekind domains have both the two-generator and strong two-generator properties. How common is this? Two cases are considered here: the zero-dimensional case and the one-dimensional case for monoid rings. Each case is looked at to determine if monoid rings that are not PIRs but are two-generated have the strong two-generator property. Full results are given in the zero-dimensional case, however only partial results have been found for the one-dimensional case.