On graphs of minimum zero ring index / Michelle Dela Rosa-Reynera.

By:

Dela Rosa-Reynera, Michelle

Material type: Text

TextPublication details: Manila : De La Salle University, 2018.Description: xiv, 167 leaves ; 29 cmSubject(s):

Online resources:

Contents:

1 The Problem and its Background -- 2 Preliminary Concepts -- 3 Zero Ring Index of Common Classes of Graphs -- 4 The Zero Ring Index of Trees and Cactus Graphs -- 5 The Zero Ring Index of Graph Products -- 6 The Zero Ring Index of Corona Products and Joins of Graphs -- 7 Conditions for a Graph G to Satisfy ^{G) = \V{G)\ -- 8 Conclusion, Summary and Recommendation.

Summary: A ring R in which the product of any two elements is 0, where 0 is the additive identity of R, is called a zero ring. A new notion of vertex labeling for graphs, called zero ring labeling, is realized by assigning distinct elements of a zero ring to the vertices of the graph such that the sum of the labels of adjacent vertices is not equal to the additive identity of the zero ring...

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Holdings
Item type	Current library	Collection	Call number	Status	Date due	Barcode
CHED Funded Research	Commission on Higher Education	Thesis and Dissertation	LG 996 2018 C6 D4 (Browse shelf(Opens below))	Storage Area (Restricted Access)		CHEDFR-000258
Digital Thesis and Dissertations	Commission on Higher Education	Thesis and Dissertation	LG 996 2018 C6 D4 (Browse shelf(Opens below))	Available (Room Use Only)		DCHEDFR-000007

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Dissertation (Doctor of Philosophy in Mathematics) -- De La Salle University - Manila, August 2018.

CHED Funded Research.

Includes bibliographical references.

A ring R in which the product of any two elements is 0, where 0 is the additive identity of R, is called a zero ring. A new notion of vertex labeling for graphs, called zero ring labeling, is realized by assigning distinct elements of a zero ring to the vertices of the graph such that the sum of the labels of adjacent vertices is not equal to the additive identity of the zero ring...

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