Results 121 to 130 of about 6,109 (206)
Biclique: an R package for maximal biclique enumeration in bipartite graphs. [PDF]
Lu Y, Phillips CA, Langston MA.
europepmc +1 more source
Zarankiewicz bounds from distal regularity lemma
Abstract Since Kővári, Sós and Turán proved upper bounds for the Zarankiewicz problem in 1954, much work has been undertaken to improve these bounds, and some have done so by restricting to particular classes of graphs. In 2017, Fox, Pach, Sheffer, Suk and Zahl proved better bounds for semialgebraic binary relations, and this work was extended by Do in
Mervyn Tong
wiley +1 more source
Groups with conjugacy classes of coprime sizes
Abstract Suppose that x$x$, y$y$ are elements of a finite group G$G$ lying in conjugacy classes of coprime sizes. We prove that ⟨xG⟩∩⟨yG⟩$\langle x^G \rangle \cap \langle y^G \rangle$ is an abelian normal subgroup of G$G$ and, as a consequence, that if x$x$ and y$y$ are π$\pi$‐regular elements for some set of primes π$\pi$, then xGyG$x^G y^G$ is a π ...
R. D. Camina +8 more
wiley +1 more source
Diophantine tuples and product sets in shifted powers
Abstract Let k⩾2$k\geqslant 2$ and n≠0$n\ne 0$. A Diophantine tuple with property Dk(n)$D_k(n)$ is a set of positive integers A$A$ such that ab+n$ab+n$ is a k$k$th power for all a,b∈A$a,b\in A$ with a≠b$a\ne b$. Such generalizations of classical Diophantine tuples have been studied extensively.
Ernie Croot, Chi Hoi Yip
wiley +1 more source
Computing the permanental polynomial of 4k-intercyclic bipartite graphs
Let \(G\) be a bipartite graph with adjacency matrix \(A(G)\). The characteristic polynomial \(\phi(G,x)=\det(xI-A(G))\) and the permanental polynomial \(\pi(G,x) = \operatorname{per}(xI-A(G))\) are both graph invariants used to distinguish graphs.
Ravindra Bapat +2 more
doaj +1 more source
Effects on Seidel energy of two special types of graphs by perturbing edges
Let G be a simple undirected graph, and let S(G) be its Seidel matrix. The Seidel energy of G is defined as ES(G)=∑i=1n|λS(G)|, where λS(G),λS(G),…,λS(G) are Seidel eigenvalues of G.
doaj +1 more source
Bipartite graphs in systems biology and medicine: a survey of methods and applications. [PDF]
Pavlopoulos GA +5 more
europepmc +1 more source
NET-EXPO: A Gephi Plugin Towards Social Network Analysis of Network Exposure for Unipartite and Bipartite Graphs. [PDF]
Amith MT, Fujimoto K, Tao C.
europepmc +1 more source
Bipartite Graphs for Visualization Analysis of Microbiome Data. [PDF]
Sedlar K +4 more
europepmc +1 more source
In this note we give a combinatorial characterization of all the unmixed bipartite graphs.
openaire +4 more sources

