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Equimatchable Bipartite Graphs
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
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Characterization of peptide-protein relationships in protein ambiguity groups via bipartite graphs. [PDF]
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
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The Bipartite-Splittance of a Bipartite Graph
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
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Automorphism groups of some families of bipartite graphs
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
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Concatenating Bipartite Graphs
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
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On edge product cordial graphs [PDF]
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
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BIPARTITE STEINHAUS GRAPHS [PDF]
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.
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Perfect matchings in inhomogeneous random bipartite graphs in random environment
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
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P_4-Colorings and P_4-Bipartite Graphs [PDF]
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
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Packing bipartite graphs with covers of complete bipartite graphs [PDF]
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Chalopin, Jérémie, Paulusma, Daniël
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