Results 41 to 50 of about 1,379,256 (326)

Hilbert Graceful Labeling on Complete Multipartite Graph

open access: bronzeAsian Research Journal of Mathematics
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J. Suresh Kumar
openalex   +2 more sources

Graceful Labeling of Some Spider Graphs

open access: bronzeEuropean Journal of Pure and Applied Mathematics
A graceful labeling of a tree $T$ with $n$ edges is a bijection $f : V(T) \longrightarrow \{0,1,2, \ldots n\}$ such that $\{|f(u)-f(v)| : uv \in E(T)\}$ equal to $\{1,2,3,\ldots,n\}$.
K. Saengsura, T. Poomsa-ard
openalex   +2 more sources

Pell graceful labeling of graphs [PDF]

open access: goldMalaya Journal of Matematik, 2019
D. Muthuramakrishnan, S. Sutha
openalex   +3 more sources

Gaussian Tribonacci R-Graceful Labeling of Some Tree Related Graphs

open access: yesRatio Mathematica, 2022
Let r be any natural number. An injective function , where  is the Gaussian Tribonacci number in the Gaussian Tribonacci sequence is said to be Gaussian Tribonacci r-graceful labeling if the induced edge labeling such that  is bijective.
K Sunitha, M Sheriba
doaj   +1 more source

Relaxed Graceful Labellings of Trees [PDF]

open access: bronzeThe Electronic Journal of Combinatorics, 2002
A graph $G$ on $m$ edges is considered graceful if there is a labelling $f$ of the vertices of $G$ with distinct integers in the set $\{0,1,\dots,m\}$ such that the induced edge labelling $g$ defined by $g(uv)=|f(u)-f(v)|$ is a bijection to $\{1,\dots,m\}$. We here consider some relaxations of these conditions as applied to tree labellings: 1.
Frank Van Bussel
openalex   +3 more sources

Graceful Labeling of Prime Index Graph of Group Zp × Zpn

open access: yesContemporary Mathematics, 2023
The prime index graph π(G) of a finite group G is a special type of undirected simple graph whose vertex set is set of subgroups of G, in which two distinct vertices are adjacent if one has prime index in the other. Let p and q be distinct primes.
Renu, Sarita, Amit Sehgal, Archana Malik
semanticscholar   +1 more source

Ordered graceful labellings of the 2-star

open access: bronzeDiscrete Mathematics, 2001
AbstractA variation on the well-known graceful labelling problem for graphs is that of finding an ordered graceful labelling. A graceful labelling f:V(T)→{1,2,…,n} of a tree T of order n is called ordered graceful if, when the edges of the tree are oriented from the endvertex with larger label to the endvertex with smaller label, then every vertex has ...
Richard J. Nowakowski, Carol Whitehead
openalex   +3 more sources

Graceful labeling construction for some special tree graph using adjacency matrix

open access: yesElectronic Journal of Graph Theory and Applications, 2023
In 1967, Rosa introduced β − labeling which was then popularized by Golomb under the name graceful. Graceful labeling on a graph G is an injective function f : V ( G ) → { 0 , 1 , 2 , . . .
Nikson Simarmata   +2 more
semanticscholar   +1 more source

Encoding And Decoding Process Using Prime Graceful Labeling

open access: yesTuijin Jishu/Journal of Propulsion Technology, 2023
In this paper, an interesting application of Prime graceful labeling in the field of coding theory is examined. Here, a new algorithm for encoding and decoding blended with prime graceful labeling is constructed and an interpretation for the proposed ...
M. V. Nayana, K. R. Sobha
semanticscholar   +1 more source

Graceful Labeling For bipartite graceful Graphs and related Graphs

open access: green, 2020
The concept of graceful labels was proposed by Rosa, scholars began to study graceful labels of various graphs and obtained relevant results.Let the graph is a bipartite graceful graph, we have proved some graphs are graceful labeling in this paper.
Liu Chun-feng, Xiuying Wang, Guozhu Liu
openalex   +4 more sources

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