Results 11 to 20 of about 2,876,957 (249)

Orthogonal double cover of Complete Bipartite Graph by disjoint union of complete bipartite graphs [PDF]

open access: yesAin 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
doaj   +2 more sources

The Bipartite-Splittance of a Bipartite Graph [PDF]

open access: yesDiscussiones Mathematicae Graph Theory, 2019
A bipartite-split graph is a bipartite graph whose vertex set can be partitioned into a complete bipartite set and an independent set. The bipartite- splittance of an arbitrary bipartite graph is the minimum number of edges to be added or removed in ...
Yin Jian-Hua, Guan Jing-Xin
doaj   +3 more sources

Covering a graph by complete bipartite graphs [PDF]

open access: yesDiscrete Mathematics, 1997
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Paul Erdös, László Pyber
openaire   +3 more sources

On Orthogonal Double Covers and Decompositions of Complete Bipartite Graphs by Caterpillar Graphs

open access: yesAlgorithms, 2023
Nowadays, graph theory is one of the most exciting fields of mathematics due to the tremendous developments in modern technology, where it is used in many important applications.
Ahmed El-Mesady   +3 more
doaj   +2 more sources

Small bipartite subgraph polytopes [PDF]

open access: yes, 2010
We compute a complete linear description of the bipartite subgraph polytope, for up to seven nodes, and a conjectured complete description for eight nodes.
Galli, L, Letchford, A N
core   +5 more sources

Packing four copies of a tree into a complete bipartite graph [PDF]

open access: yes, 2022
summary:In considering packing three copies of a tree into a complete bipartite graph, H. Wang (2009) gives a conjecture: For each tree $T$ of order $n$ and each integer $k\geq 2$, there is a $k$-packing of $T$ in a complete bipartite graph $B_{n+k-1 ...
Pu, Liqun, Gao, Xiaoli, Tang, Yuan
core   +1 more source

MAPA: A Semantic Network Framework for Functional Module Discovery and Interpretation in Multi-Omics Data. [PDF]

open access: yesAdv Sci (Weinh)
MAPA transforms complex multi‐omics data into biologically coherent functional modules by integrating pathway information with molecular interaction networks. Retrieval‐augmented large language models then generate structured, literature‐informed interpretations.
Ge Y   +13 more
europepmc   +2 more sources

Weak saturation numbers of K2 , t and K p ⋃ K q

open access: yesAKCE 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
doaj   +2 more sources

Teorema Pohon Matriks Untuk Menentukan Banyaknya Pohon Rentangan Graf Bipartisi Komplit (Km,n)

open access: yesFokus, 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
doaj   +1 more source

Decomposition of complete graphs into small graphs [PDF]

open access: yesOpuscula 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
doaj   +1 more source

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