Results 51 to 60 of about 1,379,256 (326)
Matching-Type Image-Labelings of Trees
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]
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]
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
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
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
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]
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
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
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
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