12 papers
Harary's Sum and Integral Sum Graphs -- A Survey in detail
V. Vilfred Kamalappan, Lowell W. Beineke
Harary introduced the concepts of sum and integral sum graphs. A graph is a {\em sum graph} if the vertices of can be labeled with distinct positive integers so that $e = u…
A study on Type-2 isomorphic circulant graphs. Part 7: Isomorphism series, digraph and graph of
V. Vilfred Kamalappan
This study is the part of a detailed study on Type-2 isomorphic circulant graphs having ten parts \cite{v2-1}-\cite{v2-10}. In this study, we define {\em isomorphic set},…
A Study on Type-2 Isomorphic Circulant Graphs: Part 8: , -- each has 2 types of Type-2 isomorphic circulant graphs
Vilfred Kamalappan
In this study, we obtain the following two families of circulant graphs each has Type-2 isomorphic circulant graphs w.r.t. such that has more than one value. (i) Family of…
A study on Type-2 isomorphic circulant graphs. PART 9: Computer programs to show Type-1 -2 isomorphic circulant graphs
Vilfred Kamalappan, Wilson Peraprakash
Elspas and Turner \cite{eltu} raised a question on the isomorphism of and and Vilfred \cite{v96} gave its answer by defining Type-2 isomorphism of $…
A study on Type-2 isomorphic circulant graphs. Part 6: Abelian groups and
Vilfred Kamalappan
This study is the part of a detailed study on Type-2 isomorphic circulant graphs having ten parts \cite{v2-1}-\cite{v2-10}. In this part, we define and T…
A study on Type-2 isomorphic circulant graphs. Part 4: 960 triples of Type-2 isomorphic circulant graphs
Vilfred Kamalappan
This study is the part of a detailed study on Type-2 isomorphic circulant graphs having ten parts \cite{v2-1}-\cite{v2-10} and is a continuation of Part 3. Here, we study…