TY  - BOOK
AU  - Dela Rosa-Reynera, Michelle.
TI  - On graphs of minimum zero ring index
PY  - 2018///
CY  - Manila
PB  - De La Salle University
KW  - Graph Theory
KW  - Mathematics
N1  - 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
N2  - 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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