Results 21 to 30 of about 1,150 (71)
Underlying Graphs of 3-Quasi-Transitive Digraphs and 3-Transitive Digraphs
A digraph is 3-quasi-transitive (resp. 3-transitive), if for any path x0x1 x2x3 of length 3, x0 and x3 are adjacent (resp. x0 dominates x3). C´esar Hern´andez-Cruz conjectured that if D is a 3-quasi-transitive digraph, then the underlying graph of D, UG ...
Wang Ruixia, Wang Shiying
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k‐quasi‐transitive digraphs of large diameter
AbstractGiven an integer with , a digraph is ‐quasi‐transitive if for every ‐directed path of length in , we have or (or both). In this study, we prove that if is an odd integer, , then every strong ‐quasi‐transitive digraph of diameter at least admits a partition of its vertex set such that is Hamiltonian, and both and are semicomplete ...
Jesús Alva‐Samos +1 more
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4-Transitive Digraphs I: The Structure of Strong 4-Transitive Digraphs
Let D be a digraph, V (D) and A(D) will denote the sets of vertices and arcs of D, respectively. A digraph D is transitive if for every three distinct vertices u, v,w ∈ V (D), (u, v), (v,w) ∈ A(D) implies that (u,w) ∈ A(D).
Hernández-Cruz César
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Some Remarks On The Structure Of Strong K-Transitive Digraphs
A digraph D is k-transitive if the existence of a directed path (v0, v1, . . . , vk), of length k implies that (v0, vk) ∈ A(D). Clearly, a 2-transitive digraph is a transitive digraph in the usual sense.
Hernández-Cruz César +1 more
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This is an Open Access article, first published by E-CJ on 25 February 2015.We study digraphs preserved by a Maltsev operation: Maltsev digraphs. We show that these digraphs retract either onto a directed path or to the disjoint union of directed cycles,
Carvalho, Catarina +3 more
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Vertices with the Second Neighborhood Property in Eulerian Digraphs
The Second Neighborhood Conjecture states that every simple digraph has a vertex whose second out-neighborhood is at least as large as its first out-neighborhood, i.e. a vertex with the Second Neighborhood Property.
Cary, Michael
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Caristi‐Type Fixed Point Theorem over Száz Principle in Quasi‐Metric Space with a Graph
The aim of this paper is to generalize Caristi’s fixed point theorem in a K‐complete quasi‐metric space endowed with a reflexive digraph by using Száz maximum principle. An example is given to support our main result.
Karim Chaira +4 more
wiley +1 more source
CREDIBLY IDENTIFYING SOCIAL EFFECTS: ACCOUNTING FOR NETWORK FORMATION AND MEASUREMENT ERROR
Abstract Understanding whether and how connections between agents (networks) such as declared friendships in classrooms, transactions between firms, and extended family connections, influence their socio‐economic outcomes has been a growing area of research within economics. Early methods developed to identify these social effects assumed that networks
Arun Advani, Bansi Malde
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Vertex heaviest paths and cycles in quasi-transitive digraphs
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Gutin, Gregory, Bang-Jensen, J.
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Amenability and geometry of semigroups [PDF]
We study the connection between amenability, Følner conditions and the geometry of finitely generated semigroups. Using results of Klawe, we show that within an extremely broad class of semigroups (encompassing all groups, left cancellative semigroups ...
Gray, Robert, Kambites, Mark
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