Results 11 to 20 of about 140,780 (247)
The Extremal Number of the Subdivisions of the Complete Bipartite Graph [PDF]
SIAM Journal on Discrete Mathematics, 2019 For a graph $F$, the $k$-subdivision of $F$, denoted $F^k$, is the graph obtained by replacing the edges of $F$ with internally vertex-disjoint paths of length $k$.
Oliver Janzer
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Journal of Function Spaces, 2022 Graph theory is considered an attractive field for finding the proof techniques in discrete mathematics. The results of graph theory have applications in many areas of social, computing, and natural sciences.
A. El-Mesady +2 more
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Complete bipartite graph is a totally irregular total graph
Electronic Journal of Graph Theory and Applications, 2021 A graph G is called a totally irregular total k-graph if it has a totally irregular total k-labeling λ : V ∪ E→ 1, 2, ... , k, that is a total labeling such that for any pair of different vertices x and y of G, their weights wt(x) and wt(y) are distinct,
Meilin I. Tilukay +4 more
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On bipartite divisor graph for character degrees [PDF]
International Journal of Group Theory, 2017 The concept of the bipartite divisor graph for integer subsets has been considered in [M. A. Iranmanesh and C. E. Praeger, Bipartite divisor graphs for integer subsets, Graphs Combin., 26 (2010) 95--105.].
Seyed Ali Moosavi
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Weak saturation numbers of K2 , t and K p ⋃ K q
AKCE International Journal of Graphs and Combinatorics, 2019 A graph G is weakly F-saturated if G contains no copy of F, and there is an ordering of all edges of G¯so that if they are added one at a time, they form a complete graph and each edge added creates a new copy of F.
Yajuan Cui, Liqun Pu
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Decomposition of complete graphs into small graphs [PDF]
Opuscula Mathematica, 2010 In 1967, A. Rosa proved that if a bipartite graph \(G\) with \(n\) edges has an \(\alpha\)-labeling, then for any positive integer \(p\) the complete graph \(K_{2np+1}\) can be cyclically decomposed into copies of \(G\).
Dalibor Froncek
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Teorema Pohon Matriks Untuk Menentukan Banyaknya Pohon Rentangan Graf Bipartisi Komplit (Km,n)
Fokus, 2016 This research aims to observes panning tree number of complete bipartite graph (Km,n) by matrix-tree theorem.This research was using library research method which the step are:(1)Drawing complete bipartite graph (Km,n) where m= 1,2,3,4,and; (2)Determinin
Novia Rahmawati
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Some New Results on Lucky Labeling
مجلة بغداد للعلوم, 2023 Czerwi’nski et al. introduced Lucky labeling in 2009 and Akbari et al and A.Nellai Murugan et al studied it further. Czerwi’nski defined Lucky Number of graph as follows: A labeling of vertices of a graph G is called a Lucky labeling if for every pair ...
J. Ashwini +2 more
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Rainbow perfect matchings in r-partite graph structures [PDF]
, 2016 A matching M in an edge–colored (hyper)graph is rainbow if each pair of edges in M have distinct colors. We extend the result of Erdos and Spencer on the existence of rainbow perfect matchings in the complete bipartite graph Kn,n to complete bipartite ...
Cano Vila, María del Pilar +2 more
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Orthogonal double cover of Complete Bipartite Graph by disjoint union of complete bipartite graphs
Ain Shams Engineering Journal, 2015 Let H be a graph on n vertices and G a collection of n subgraphs of H, one for each vertex, G is an orthogonal double cover (ODC) of H if every edge of H occurs in exactly two members of G and any two members share an edge whenever the corresponding ...
S. El-Serafi +2 more
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