V. Kamalappan

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20172026

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math.CO2022

$k$ -Distance Magic Labeling and Long Brush Graphs

V. Vilfred Kamalappan

We define a labeling $f :$ $V (G)$ $\to$ ${1, 2, \dots, n}$ on a graph $G$ of order $n \geq 3$ as a \emph{ $k$ -distance magic} ( $k$ -DM) if $\sum_{w\in \partial N_k(u)}{ f(w…

math.CO2022

A study on Type-2 isomorphic circulant graphs. Part 10: Type-2 isomorphic $C_{n p^{3}} (R)$ w.r.t. $m$ = $p$ and related groups

Vilfred Kamalappan, Wilson Peraprakash

This study is the $1 0^{t h}$ part of a detailed study on Type-2 isomorphic circulant graphs having ten parts \cite{v2-1}-\cite{v2-10}. In this part, we obtain families of Type-2 iso…

math.CO2022

A study on edge coloring and edge sum coloring of integral sum graphs

V. Vilfred Kamalappan, Lowell W. Beineke, L. Mary Florida +1

Frank Harary introduced the concept of integral sum graph. A graph $G$ is an \emph{ integral sum graph} if its vertices can be labeled with distinct integers so that $e = uv$ is an…

k-Distance Magic Labeling and Long Brush Graphs

A study on Type-2 isomorphic circulant graphs. Part 10: Type-2 isomorphic Cnp3​(R) w.r.t. m = p and related groups

A study on edge coloring and edge sum coloring of integral sum graphs

$k$ -Distance Magic Labeling and Long Brush Graphs

A study on Type-2 isomorphic circulant graphs. Part 10: Type-2 isomorphic $C_{n p^{3}} (R)$ w.r.t. $m$ = $p$ and related groups