Classification of tetravalent distance magic circulant graphs

Š Miklavič, P Šparl - Discrete Mathematics, 2021 - Elsevier
… A graph is said to be distance magic if it admits a distance magic labeling. In this paper we
classify all connected tetravalent distance magic circulants, that is Cayley graphs Cay ( Z n ; S …

[HTML][HTML] Distance magic circulant graphs

S Cichacz, D Froncek - Discrete Mathematics, 2016 - Elsevier
… we deal with circulant graphs C n ( 1 , p ) . The circulant graph C n ( 1 , p ) is the graph on
the … We completely characterize distance magic graphs C n ( 1 , p ) for p odd. We also give …

[PDF][PDF] Distance antimagic labeling of circulant graphs

S Sy, R Simanjuntak, T Nadeak, KA Sugeng… - AIMS …, 2024 - aimspress.com
distance magic and antimagic labeling of circulant graphs. This is due to the fact that the …
distance antimagic circulant graphs with one generator in Section 2. We then circulant graphs

Group distance magic labeling of tetravalent circulant graphs

G Deng, J Geng, X Zeng - Discrete Applied Mathematics, 2024 - Elsevier
… A Γ -distance magic labeling of G is a bijection φ : V ⟶ Γ for … tetravalent circulant graphs which
admit a Γ -distance magic … all connected Γ -distance magic circulant graphs of valency four …

On closed distance magic circulants of valency up to 5

B Fernández, R Maleki, Š Miklavič… - Discrete …, 2023 - Elsevier
… In this paper we study connected closed distance magic circulant graphs with valency at …
closed distance magic circulant graphs with valency 1 or 2 are the complete graphs K 2 and K 3 …

[PDF][PDF] Distance magic graphs-a survey

S Arumugam, D Froncek… - Journal of the Indonesian …, 2011 - researchgate.net
… One such concept is distance magic labeling which has been investigated under … magic
vertex labeling. In this paper we present a survey of existing results on distance magic graphs

[PDF][PDF] Orientable -Distance Magic Graphs

S Cichacz, B Freyberg, D Froncek - … Mathematicae Graph Theory, 2019 - bibliotekanauki.pl
… ◦ H is orientable Ztm-distance magic when H is a circulant of an even order m and G is of
order t. One can ask if G ◦ H is still orientable Ztm-distance magic if the circulant graph H is of an …

(a, d)-Distance Antimagic Labeling of Some Types of Graphs

MF Semeniuta - Cybernetics and systems analysis, 2016 - Springer
… Among regular graphs, we investigate the case of a circulant graph. … Let G be a distance
magic graph of order n with labeling f and magic constant k. For the complement G of …

On distance antimagic graphs

R Simanjuntak, K Wijaya - arXiv preprint arXiv:1312.7405, 2013 - arxiv.org
… A graph G is said to be D-distance magic if all vertices has … ] and constructions of distance
magic graphs have also been … subgraph characterization for distance magic graph [23, 1, 18]. …

[HTML][HTML] Distance magic graphs G× Cn

S Cichacz - Discrete Applied Mathematics, 2014 - Elsevier
… integer μ (called the magic constant) such that ∑ y ∈ N G ( x ) l ( y ) = μ for every x ∈ V .
If a graph G admits a distance magic labeling, then we say that G is a distance magic graph [4]. …