DOI: https://doi.org/10.14710/jfma.v6i2.18228

THE L(2,1)-LABELING OF MONGOLIAN TENT, LOBSTER, TRIANGULAR SNAKE, AND KAYAK PADDLE GRAPH

*Lisa Damayanti Ningrum  -  Mathematics Department, Faculty of Mathematics and Natural Sciences, Institut Teknologi Bandung, Indonesia
Ahmad Muchlas Abrar  -  Mathematics Department, Faculty of Mathematics and Natural Sciences, Institut Teknologi Bandung,, Indonesia

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Abstract

Let G = (V,E) be a simple graph. L(2, 1)−labeling defined as a function
f : V (G) → N0 such that, x and y are two adjacent vertices in V, then if x and
y are adjacent to each other, |f(y) − f(x)| ≥ 2 and if x and y have the distance 2,
|f(y) − f(x)| ≥ 1. The L(2, 1)-labeling number of G, called λ2,1(G), is the smallest
numbermof G. In this paper, we will further discuss the L(2, 1)-labeling of mongolian
tent, lobster, triangular snake, and kayak paddle.

Keywords: L(2,1)-Labeling, mongolian tent, lobster, triangular snake, kayak paddle.

 

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Keywords: L(2,1)-Labeling; Mongolian Tent; Lobster, Triangular Snake; Kayak Paddle

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Section: FUNDAMENTAL MATHEMATICS AND APPLICATIONS
Language : EN
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