Results 61 to 70 of about 209,693 (137)
A graph G with m vertices and n edges, is said to be prime graceful labeling, if there is an injection from the vertices of G to {1, 2, ..., k} where k = min {2m, 2n} such that gcd ( ( ), ( )=1 and the induced injective function from the edges of G to {1, 2, ..., k − 1} defined by ( ) = | ( ) − ( ) | , the resulting edge labels are distinct. In
T. Hameed Hassan, R. Mohammad Abbas
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Abstract The concept of graph labeling was introduced in the mid-1960s by Rosa. In this paper, we introduce a notion of graceful labeling of a finite poset. We obtain graceful labeling of some postes such as a chain, a fence, and a crown. In 2002 Thakare, Pawar, and Waphare introduced the `adjunct' operation of two lattices with respect to an adjunct ...
Ashok Bhavale, Dr. DEEPAK SHELKE*
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GRACEFUL LABEING AND RHO TOPI LABELING ON THE 8-BINTANG GRAPH WITH C3 FOR N ODD [PDF]
This paper we propose graceful labeling and labeling on a graph then referred to as 8-Bintang graph, the basic idea of formulation graceful labeling and labeling on an alfabet bintang graphs wih the question a stars graph .
Amri, Zulfi; Universitas Muhammadiyah Sumatera Utara +2 more
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RADIO GEOMETRIC MEAN GRACEFUL LABELING ON DEGREE SPLITTING OF SOME SPECIAL GRAPHS
A radio geometric mean graceful labeling of a connected graph G is a bijection µ from a vertex set V(G) to {1, 2, 3, …, |V(G)|} such that for any two distinct vertices u and v of G, .
T. MARY SHALINI, C. DAVID RA, K. RUBIN MARY
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In this article, we adapt the edge-graceful graph labeling definition into block designs and define a block design V,B with V=v and B=b as block-graceful if there exists a bijection f:B⟶1,2,…,b such that the induced mapping f+:V⟶Zv given by f+x=∑x∈AA ...
Dilara Erdemir, Emre Kolotoğlu
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On Graceful Spider Graphs with at Most Four Legs of Lengths Greater than One
A graceful labeling of a tree T with n edges is a bijection f:V(T)→{0,1,2,…,n} such that {|f(u)-f(v)|:uv∈E(T)} equal to {1,2,…,n}. A spider graph is a tree with at most one vertex of degree greater than 2. We show that all spider graphs with at most four
A. Panpa, T. Poomsa-ard
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Graceful and Odd Graceful Labeling of Graphs
In this paper we prove gracefulness and odd gracefulness of arbitrary super -subdivision of triangular snake, where labeling of the vertices follows arithmetic progression.
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Graceful and Odd Graceful Labeling of Some Graphs
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.
N. H. Shah, S. K. Vaidya
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GRACEFUL LABELING OF HANGING THETA GRAPHS [PDF]
Summary: In this paper, we introduce a new class of hanging theta graphs and prove that those graphs admit graceful labeling.
Janakiraman, T. N., Sathiamoorthy, G.
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On $k$-Super Graceful Labeling of Graphs [PDF]
Let $G=(V(G),E(G))$ be a simple, finite and undirected graph of order $p$ and size $q$. For $k\ge 1$, a bijection $f: V(G)\cup E(G) \to \{k, k+1, k+2, \ldots, k+p+q-1\}$ such that $f(uv)= |f(u) - f(v)|$ for every edge $uv\in E(G)$ is said to be a $k ...
Ng, Ho-Kuen +2 more
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