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Radio Graceful Labelling of Graphs [PDF]

open access: yesTheory and Applications of Graphs, 2020
Radio labelling problem of graphs have their roots in communication problem known as \emph{Channel Assignment Problem}. For a simple connected graph $G=(V(G), E(G))$, a radio labeling is a mapping $f \colon V(G)\rightarrow \{0,1,2,\ldots\}$ such that $|f(
Laxman Saha, Alamgir Basunia
doaj   +6 more sources

Edge Even Graceful Labelling of Some Book Graphs

open access: yesJournal of Taibah University for Science, 2018
Elsonbaty and Daoud introduced a new type of labelling of a graph G with p vertices and q edges called an edge even graceful labelling if there is a bijection f from the edges of the graph to the set $\{2, 4,\ldots , 2q\}$ such that, when each vertex is ...
Ahmed N Elsawy, Salama Nagy Daoud
exaly   +3 more sources

Edge Even Graceful Labelling of New Families of Graphs

open access: yesJournal of Taibah University for Science, 2019
Elsonbaty and Daoud introduced a new type of labelling of a graph G with p vertices and q edges called an edge even graceful labelling. A graph G is called edge even graceful if there is a bijection $f: E(G) \rightarrow \{2, 4,\ldots , 2q\} $ such that ...
Ahmed N Elsawy, Salama Nagy Daoud
exaly   +3 more sources

Characterizations of Kites as Graceful Graphs [PDF]

open access: yesCubo
We introduce and study an infinite family of graceful graphs, which we call kites. The kites are graphs where a path is joined with a graph "forming" a kite.
Miroslav Haviar
exaly   +4 more sources

PELABELAN ODD-GRACEFUL PADA GRAF PRODUK SISIR

open access: yesMajalah Ilmiah Matematika dan Statistika, 2022
Gnanajothi defined a graph with edges to be odd-graceful if there is an injective function such that if every edge is labelled with the resulting edge labels are . She proved that the graph obtained by joining one pendant to every vertex in is odd-
Juan Daniel   +3 more
doaj   +2 more sources

Addendum for the article Radio Graceful Labelling of Graphs [PDF]

open access: yesTheory and Applications of Graphs, 2020
Additional references listed for the article: Saha, Laxman and Basunia, Alamgir Rahaman (2020) "Radio Graceful Labelling of Graphs," Theory and Applications of Graphs: Vol. 7: Iss. 1, Article 7.
Laxman Saha, Alamgir Basunia
doaj   +2 more sources

A new class of graceful graphs: k-enriched fan graphs and their characterisations

open access: yesCubo, 2021
The Graceful Tree Conjecture stated by Rosa in the mid 1960s says that every tree can be gracefully labelled. It is one of the best known open problems in Graph Theory.
M. Haviar, S. Kurtulík
doaj   +1 more source

Exploring Relationship Between Traditional Lattices and Graph Lattices of Topological Coding

open access: yesJisuanji kexue yu tansuo, 2021
It is known that there are no polynomial quantum algorithms to solve some lattice difficult problems. Uncolored graphic lattice and colored graphic lattice are the products of multidisciplinary intersection inspired by lattice theory. A uncolored graphic
ZHANG Mingjun, YANG Sihua, YAO Bing
doaj   +1 more source

A Study of Independency on Fuzzy Resolving Sets of Labelling Graphs

open access: yesMathematics, 2023
Considering a fuzzy graph G is simple and can be connected and considered as a subset H=u1,σu1,u2,σu2,…uk,σuk, |H|≥2; then, every two pairs of elements of σ−H have a unique depiction with the relation of H, and H can be termed as a fuzzy resolving set ...
Ramachandramoorthi Shanmugapriya   +3 more
doaj   +1 more source

Special Graceful Labelings of Irregular Fences and Lobsters

open access: yesUniversal Journal of Mathematics and Applications, 2019
Irregular fences are subgraphs of $P_m \times P_n$ formed with $m$ copies of $P_n$ in such a way that two consecutive copies of $P_n$ are connected with one or two edges; if two edges are used, then they are located in levels separated an odd number of ...
Christian Barrientos
doaj   +1 more source

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