Results 51 to 60 of about 1,379,256 (326)

Matching-Type Image-Labelings of Trees

open access: yesMathematics, 2021
A variety of labelings on trees have emerged in order to attack the Graceful Tree Conjecture, but lack showing the connections between two labelings. In this paper, we propose two new labelings: vertex image-labeling and edge image-labeling, and combine ...
Jing Su, Hongyu Wang, Bing Yao
doaj   +1 more source

Vertex Graceful Labeling-Some Path Related Graphs [PDF]

open access: yes, 2013
Treating subjects as vertex graceful graphs, vertex graceful labeling, caterpillar, actinia graphs, Smarandachely vertex m ...
Balaganesan, P.   +2 more
core   +1 more source

Super Fibonacci Graceful Labeling of Some Special Class of Graphs [PDF]

open access: yes, 2011
A Fibonacci graceful labeling and a super Fibonacci graceful labeling on graphs were introduced by Kathiresan and Amutha in ...
Nagarajan, K.   +2 more
core   +1 more source

Tight super-edge-graceful labelings of trees and their applications

open access: yesAKCE International Journal of Graphs and Combinatorics, 2015
The concept of graceful labeling of graphs has been extensively studied. In 1994, Mitchem and Simoson introduced a stronger concept called super-edge-graceful labeling for some classes of graphs.
Alex Collins, Colton Magnant, Hua Wang
doaj   +1 more source

Radio Number of Hamming Graphs of Diameter 3

open access: yesTheory and Applications of Graphs, 2022
For $G$ a simple, connected graph, a vertex labeling $f:V(G)\to \Z_+$ is called a \emph{radio labeling of $G$} if it satisfies $|f(u)-f(v)|\geq\diam(G)+1-d(u,v)$ for all distinct vertices $u,v\in V(G)$.
Jason DeVito   +2 more
doaj   +1 more source

EVEN RADIO MEAN GRACEFUL LABELING ON DEGREE SPLITTING OF SNAKE RELATED GRAPHS

open access: yesSouth East Asian J. of Mathematics and Mathematical Sciences, 2022
A radio mean labeling of a connected graph G is an injection φ from the vertex set V(G) to N such that the condition d(u, v) + & φ(u)+φ(v) 2 ' ≥ 1 + diam(G) holds for any two distinct vertices u and v of G.
Brindha Mary V. T.   +2 more
semanticscholar   +1 more source

Graceful and Odd Graceful Labeling of Some Graphs [PDF]

open access: yesInternational Journal of Mathematics and Soft Computing, 2013
In this paper, we prove that the square graph of bistar Bn,n, the splitting graph of Bn,n and the splitting graph of star K1,n are graceful graphs. We also prove that the splitting graph and the shadow graph of bistar Bn,n admit odd graceful labeling.
Samir K. Vaidya, N. H. Shah
openaire   +1 more source

Dividing Graceful Labeling of Certain Tree Graphs

open access: yesTikrit Journal of Pure Science, 2020
A tree is a connected acyclic graph on n vertices and m edges. graceful  labeling of a tree  defined as a simple undirected graph G(V,E) with order n and size m,  if there exist an injective mapping  that induces a bijective mapping  defined by   for ...
Abdullah Zahraa O   +2 more
doaj   +1 more source

A survey and a new class of graceful unicylic graphs

open access: yesAKCE International Journal of Graphs and Combinatorics, 2020
A graph G admits a graceful labeling if there is a one-to-one map f from the set of vertices of G to such that when an edge xy is assigned the label the resulting set of edge labels is When such a labeling exists, G is called graceful. Rosa showed that a
Max Pambe Biatch’   +2 more
doaj   +1 more source

On edge-graceful labeling and deficiency for regular graphs

open access: yesAKCE International Journal of Graphs and Combinatorics, 2018
An edge-graceful labeling of a finite simple graph with vertices and edges is a bijection from the set of edges to the set of integers such that the vertex sums are pairwise distinct modulo , where the vertex sum at a vertex is the sum of labels of all ...
Tao-Ming Wang, Guang-Hui Zhang
doaj   +2 more sources

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