Results 1 to 10 of about 5,946 (233)
-labeling of supersubdivided connected graph plus an edge
AKCE International Journal of Graphs and Combinatorics, 2020 Rosa, in his classical paper (Rosa, 1967) introduced a hierarchical series of labelings called and labeling as a tool to settle Ringel’s Conjecture which states that if is any tree with edges then the complete graph can be decomposed into copies of ...
G. Sethuraman, M. Sujasree
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Packing bipartite graphs with covers of complete bipartite graphs [PDF]
Discrete Applied Mathematics, 2010 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Chalopin, Jérémie, Paulusma, Daniël
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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 Subgraphs of the Complete Bipartite Graph [PDF]
Canadian Mathematical Bulletin, 1964 G(n) denotes a graph of n vertices and Ḡ(n) denotes its complementary graph. In a complete graph every two distinct vertices are joined by an edge. Let Ck(G(n)) denote the number of complete subgraphs of k vertices contained in G(n). Recently it was proved [1] that for every k1where the minimum is over all graphs G(n).
Erdős, Pál, Moon, J. W.
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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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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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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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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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