Dela Rosa-Reynera, Michelle. <br/><br/>
On graphs of minimum zero ring index / 
Michelle Dela Rosa-Reynera. 
 - Manila :  De La Salle University,  2018. 
 - xiv, 167 leaves ;  29 cm. 
<br/><br/> Dissertation (Doctor of Philosophy in Mathematics) -- De La Salle University - Manila, August 2018. 
<br/><br/>CHED Funded Research. 
<br/><br/>Includes bibliographical references. 
<br/><br/>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 ^
<br/><br/> 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... 
<br/><br/><label>Subjects--Topical Terms: </label><br/>Graph Theory.<br/>Mathematics.