Results 31 to 40 of about 103,423 (250)
Special Graceful Labelings of Irregular Fences and Lobsters
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
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Towards the graceful tree conjecture [PDF]
grantor: University of TorontoIn this thesis we present several results about graceful and near-graceful labellings of trees. Various modifications of the conditions for graceful and bipartite graceful labellings are probed; we conjecture that ...
Bussel, Frank Van
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Graceful And Graceful Labeling Of Graphs
{"references": ["1.\tJ. A. Gallian, A Dynamic survey of graph labeling, The electronic journal of combinatory 16 (2009).DS6. 2.\tI. Gutman, The energy of a graph, Ber. Math-satist. sekt. Forschungsz. Graz 103 (1978), 1-22. 3.\tGutman and B. Zhou, Laplacian energy of a graph, linear algebra appl. 414 (2006), 29-37. 4.\tI.
M. Soundharya, R. Balakumar
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Improper Graceful and Odd-graceful Labellings of Graph Theory
In this paper we define some new labellings for trees, called the in-improper and out-improper odd-graceful labellings such that some trees labelled with the new labellings can induce graceful graphs having at least a cycle. We, next, apply the new labellings to construct large scale of graphs having improper graceful/odd-graceful labellings or having ...
Hongyu Wang 0006, Jin Xu 0002, Bing Yao
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EVEN GRACEFUL LABELLING OF A CLASS OF TREES
A labelling or numbering of a graph G with q edges is an assignment of labels to the vertices of G that induces for each edge uv a labelling depending on the vertex labels f(u) and f(v).
Rajesh Kumar T.J, Mathew Varkey T.K
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Graceful Labelling for Complete Bipartite Fuzzy Graphs
The concept of fuzzy graceful labelling is introduced. A graph which admits a fuzzy graceful labelling is called a fuzzy graceful graph. Fuzzy graceful labelled graphs are becoming an increasingly useful family of mathematical models for a broad range of
R. Jebesty Shajila, S. Vimala
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Graceful labellings of new families of windmill and snake graphs
A function ƒ is a graceful labelling of a graph G = (V,E) with m edges if ƒ is an injection ƒ : V (G) → {0, 1, 2, . . . ,m} such that each edge uv ∈ E is assigned the label |ƒ(u) − ƒ(v)| ∈ {1, 2, . . . ,m}, and no two edge labels are the same.
Alkasasbeh, Ahmad
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Engineering peptides into antibodies—opportunities and strategies for therapeutic innovation
Peptides and antibodies occupy complementary therapeutic niches. Peptides recognize difficult targets in a compact format, while antibodies add specificity, long half‐life, and effector functions. This review examines strategies that merge both modalities—peptide grafting into loops, terminal and Fc fusions, and bioconjugation—highlighting how ...
Jinling Wang +2 more
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A PROCEDURE FOR DERIVING ODD-GRACEFUL CHROMATIC NUMBERS OF GRAPHS
Let \(G:=(V,E)\) be an undirected finite simple graph with vertex set \(V\) and edge set \(E\). A function \(c:V(G)\rightarrow \{1,2,\ldots,k\},\) for some positive integer \(k\), such that \(c(u)\neq c(v)\) for every edge \(uv\in E(G)\), is called a ...
I Nengah Suparta +3 more
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