On graphs of minimum zero ring index /
Dela Rosa-Reynera, Michelle.
On graphs of minimum zero ring index / Michelle Dela Rosa-Reynera. - Manila : De La Salle University, 2018. - xiv, 167 leaves ; 29 cm.
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 ^
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...
Graph Theory.
Mathematics.
On graphs of minimum zero ring index / Michelle Dela Rosa-Reynera. - Manila : De La Salle University, 2018. - xiv, 167 leaves ; 29 cm.
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 ^
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...
Graph Theory.
Mathematics.