Julia K. Abraham

collaborators

2 papers

math.CO2023

Cylindrical Grid Graphs $P_{m} □ C_{n}$ are Non-Distance Magic

Sajidha P, V. Vilfred Kamalappan, Julia K. Abraham

A bijective mapping $f : V (G) \to {1, 2, \dots, n}$ is called a \emph{Distance Magic Labeling (DML) of $G$ } if ~ $\sum_{v \in N (u)} f (v)$ is a constant for all…

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…

Cylindrical Grid Graphs Pm​□Cn​ are Non-Distance Magic

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

Cylindrical Grid Graphs $P_{m} □ C_{n}$ are Non-Distance Magic