Proceedings of the 2nd International Seminar on Science and Technology (ISSTEC 2019)

Repetitive Pattern of L(2,1)-Labelling on Sierpinski Graphs

Authors
Yuri C Sagala, Susilo Hariyanto, SRRM Titi Udjiani, M. Rafid Fadil
Corresponding Author
Susilo Hariyanto
Available Online 11 October 2020.
DOI
10.2991/assehr.k.201010.016How to use a DOI?
Keywords
L(2,1)-labeling, Sierpinski graphs, repetitive pattern
Abstract

An L(2,1)-labelling of a graph G is a function f which assigns labels from {0,1,…,λ} to the vertices of G such that vertices at distance two get different labels and adjacent vertices get labels that are at least two apart. Sierpiński graphs S(n,k) generalized the Tower of Hanoi graphs that constructed by copying complete graphs recursively. By Chang-Kuo algorithm, we will show L(2,1)-labelling of Sierpinski graphs and repetitive pattern on it.

Copyright
© 2020, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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Volume Title
Proceedings of the 2nd International Seminar on Science and Technology (ISSTEC 2019)
Series
Advances in Social Science, Education and Humanities Research
Publication Date
11 October 2020
ISBN
10.2991/assehr.k.201010.016
ISSN
2352-5398
DOI
10.2991/assehr.k.201010.016How to use a DOI?
Copyright
© 2020, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

Cite this article

TY  - CONF
AU  - Yuri C Sagala
AU  - Susilo Hariyanto
AU  - SRRM Titi Udjiani
AU  - M. Rafid Fadil
PY  - 2020
DA  - 2020/10/11
TI  - Repetitive Pattern of L(2,1)-Labelling on Sierpinski Graphs
BT  - Proceedings of the 2nd International Seminar on Science and Technology (ISSTEC 2019)
PB  - Atlantis Press
SP  - 101
EP  - 107
SN  - 2352-5398
UR  - https://doi.org/10.2991/assehr.k.201010.016
DO  - 10.2991/assehr.k.201010.016
ID  - Sagala2020
ER  -