DMGT

ISSN 1234-3099 (print version)

ISSN 2083-5892 (electronic version)

https://doi.org/10.7151/dmgt

Discussiones Mathematicae Graph Theory

Journal Impact Factor (JIF 2022): 0.7

5-year Journal Impact Factor (2022): 0.7

CiteScore (2022): 1.9

SNIP (2022): 0.902

Discussiones Mathematicae Graph Theory

Article in volume


Authors:

L. Colucci

Lucas Colucci

Alfréd Rényi Institute of Mathematics, Hungarian Academy of Sciences, Reáltanoda u. 13–15, 1053 Budapest, Hungary
Central European University, Department of Mathematics and its Applications, Nádor u. 9, 1051 Budapest, Hungary

email: lucascolucci@renyi.hu

E. Győri

Ervin Győri

Alfréd Rényi Institute of Mathematics, Hungarian Academy of Sciences, Reáltanoda u. 13–15, 1053 Budapest, Hungary
Central European University, Department of Mathematics and its Applications, Nádor u. 9, 1051 Budapest, Hungary

email: gyori.ervin@renyi.mta.hu

Title:

On $L(2,1)$-labelings of oriented graphs

PDF

Source:

Discussiones Mathematicae Graph Theory 42(1) (2022) 39-46

Received: 2019-02-14 , Revised: 2019-06-21 , Accepted: 2019-06-21 , Available online: 2019-09-30 , https://doi.org/10.7151/dmgt.2240

Abstract:

We extend a result of Griggs and Yeh about the maximum possible value of the $L(2,1)$-labeling number of a graph in terms of its maximum degree to oriented graphs. We consider the problem both in the usual definition of the oriented $L(2,1)$-labeling number and in some variants we introduce.

Keywords:

$L(21)$-labeling, directed graphs

References:

  1. Yeh, Kwan-Ching, Labeling graphs with a condition at distance two, Phd thesis, University of South Carolina (1990).
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