On graphs of minimum zero ring index / Michelle Dela Rosa-Reynera.
Material type:
TextPublication details: Manila : De La Salle University, 2018.Description: xiv, 167 leaves ; 29 cmSubject(s): Online resources: | Item type | Current library | Collection | Call number | Status | Date due | Barcode | |
|---|---|---|---|---|---|---|---|
CHED Funded Research
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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
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Commission on Higher Education | Thesis and Dissertation | LG 996 2018 C6 D4 (Browse shelf(Opens below)) | Available (Room Use Only) | DCHEDFR-000007 |
Dissertation (Doctor of Philosophy in Mathematics) -- De La Salle University - Manila, August 2018.
CHED Funded Research.
Includes bibliographical references.
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.
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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