Results 21 to 30 of about 1,088 (61)

Solving the kernel perfect problem by (simple) forbidden subdigraphs for digraphs in some families of generalized tournaments and generalized bipartite tournaments

open access: yes, 2018
A digraph such that every proper induced subdigraph has a kernel is said to be \emph{kernel perfect} (KP for short) (\emph{critical kernel imperfect} (CKI for short) resp.) if the digraph has a kernel (does not have a kernel resp.).
Galeana-Sánchez, H., Olsen, M.
core   +1 more source

Connectedness of two-sided group digraphs and graphs

open access: yes, 2017
Two-sided group digraphs and graphs, introduced by Iradmusa and Praeger, provide a generalization of Cayley digraphs and graphs in which arcs are determined by left and right multiplying by elements of two subsets of the group.
Chikwanda, Patreck   +5 more
core   +1 more source

Priors on exchangeable directed graphs

open access: yes, 2016
Directed graphs occur throughout statistical modeling of networks, and exchangeability is a natural assumption when the ordering of vertices does not matter.
Ackerman, Nathanael   +2 more
core   +1 more source

Automatic closure of invariant linear manifolds for operator algebras [PDF]

open access: yes, 2000
Kadison's transitivity theorem implies that, for irreducible representations of C*-algebras, every invariant linear manifold is closed. It is known that CSL algebras have this propery if, and only if, the lattice is hyperatomic (every projection is ...
Donsig, Allan   +2 more
core   +2 more sources

Minimum Cost Homomorphisms to Locally Semicomplete and Quasi-Transitive Digraphs

open access: yes, 2007
For digraphs $G$ and $H$, a homomorphism of $G$ to $H$ is a mapping $f:\ V(G)\dom V(H)$ such that $uv\in A(G)$ implies $f(u)f(v)\in A(H)$. If, moreover, each vertex $u \in V(G)$ is associated with costs $c_i(u), i \in V(H)$, then the cost of a ...
Gupta, A.   +4 more
core   +2 more sources

Revealed Cores: Characterizations and Structure [PDF]

open access: yes
Characterizations of the choice functions that select the cores or the externally stable cores induced by an underlying revealed dominance digraph are provided.
Stefano Vannucci
core  

Notes on the connectivity of Cayley coset digraphs

open access: yes, 1993
Hamidoune's connectivity results for hierarchical Cayley digraphs are extended to Cayley coset digraphs and thus to arbitrary vertex transitive digraphs.
Knill, Emanuel
core   +1 more source

Clustering systems of phylogenetic networks. [PDF]

open access: yesTheory Biosci, 2023
Hellmuth M, Schaller D, Stadler PF.
europepmc   +1 more source

A new family of posets generalizing the weak order on some Coxeter groups

open access: yes, 2015
We construct a poset from a simple acyclic digraph together with a valuation on its vertices, and we compute the values of its M\"obius function. We show that the weak order on Coxeter groups of type A, B, affine A, and the flag weak order on the wreath ...
Viard, François
core   +2 more sources

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