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Equimatchable Bipartite Graphs

open access: yesDiscussiones Mathematicae Graph Theory, 2023
A graph is called equimatchable if all of its maximal matchings have the same size. Lesk et al. [Equi-matchable graphs, Graph Theory and Combinatorics (Academic Press, London, 1984) 239–254] has provided a characterization of equimatchable bipartite ...
Büyükçolak Yasemin   +2 more
doaj   +2 more sources

Characterization of peptide-protein relationships in protein ambiguity groups via bipartite graphs. [PDF]

open access: yesPLoS One, 2022
In bottom-up proteomics, proteins are enzymatically digested into peptides before measurement with mass spectrometry. The relationship between proteins and their corresponding peptides can be represented by bipartite graphs.
Schork K   +4 more
europepmc   +2 more sources

The Bipartite-Splittance of a Bipartite Graph

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   +2 more sources

Automorphism groups of some families of bipartite graphs

open access: yesElectronic Journal of Graph Theory and Applications, 2021
This paper discusses the automorphism group of a  class of  weakly semiregular bipartite graphs and its subclass called WSBEND graphs.  It also tries to analyse the  automorphism group of the SM sum graphs and SM balancing graphs.
K.G. Sreekumar, K. Manilal
doaj   +1 more source

Concatenating Bipartite Graphs

open access: yesThe Electronic Journal of Combinatorics, 2022
Let $x,y\in (0,1]$, and let $A,B,C$ be disjoint nonempty stable subsets of a graph $G$, where every vertex in $A$ has at least $x|B|$ neighbours in $B$, and every vertex in $B$ has at least $y|C|$ neighbours in $C$, and there are no edges between $A,C$.
Chudnovsky, M   +4 more
openaire   +3 more sources

On edge product cordial graphs [PDF]

open access: yesOpuscula Mathematica, 2019
An edge product cordial labeling is a variant of the well-known cordial labeling. In this paper we characterize graphs admitting an edge product cordial labeling.
Jaroslav Ivančo
doaj   +1 more source

BIPARTITE STEINHAUS GRAPHS [PDF]

open access: yesTaiwanese Journal of Mathematics, 1999
A Steinhaus matrix is a symmetric 0-1 matrix \([a_{i,j}]_{n\times n}\) such that \(a_{i,j}= 0\) for \(0\leq i\leq n-1\) and \(a_{i,j}\equiv (a_{i- 1,j-1}+ a_{i-1,j})\pmod 2\) for \(1\leq i\leq n-1\). A Steinhaus graph is a graph whose adjacency matrix is a Steinhaus matrix. In this paper Lee and Chang prove that if \(G\) is a Steinhaus graph of order \(
Lee, Yueh-Shin, Chang, G. J.
openaire   +3 more sources

Perfect matchings in inhomogeneous random bipartite graphs in random environment

open access: yesCubo, 2022
In this note we study inhomogeneous random bipartite graphs in random environment. These graphs can be thought of as an extension of the classical Erd\H os-R\'enyi random bipartite graphs in a random environment.
Jairo Bochi   +2 more
doaj   +1 more source

P_4-Colorings and P_4-Bipartite Graphs [PDF]

open access: yesDiscrete Mathematics & Theoretical Computer Science, 2001
A vertex partition of a graph into disjoint subsets V_is is said to be a P_4-free coloring if each color class V_i induces a subgraph without chordless path on four vertices (denoted by P_4).
Chinh T. Hoàng, Van Bang Le
doaj   +1 more source

Packing bipartite graphs with covers of complete bipartite graphs [PDF]

open access: yesDiscrete Applied Mathematics, 2010
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Chalopin, Jérémie, Paulusma, Daniël
openaire   +4 more sources

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