Results 21 to 30 of about 8,697 (224)
Bounds for the skew Laplacian (skew adjacency) spectral radius of a digraph [PDF]
For a simple connected graph $G$ with $n$ vertices and $m$ edges, let $\overrightarrow{G}$ be a digraph obtained by giving an arbitrary direction to the edges of $G$.
Hilal A. Ganie
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Daniel Meister 0001, Jan Arne Telle
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On some subclasses of interval catch digraphs
A digraph G = (V, E) is an interval catch digraph if for each vertex v ∈ V, one can associate an interval on real line and a point within it (say (Iv, pv)) in such a way that uv ∈ E if and only if pv ∈ Iu. It was introduced by Maehara in 1984.
Sanchita Paul, Shamik Ghosh
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Double vertex digraphs of digraphs
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Yubin Gao, Yanling Shao
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We introduce a generalization of digraphs that are local tournaments. This is the class of in-tournament digraphs---the set of predecessors of every vertex induces a tournament. We show that many properties of local tournament digraphs can be extended even to in-tournament digraphs.
Jørgen Bang-Jensen +2 more
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Arc-Disjoint Hamiltonian Cycles in Round Decomposable Locally Semicomplete Digraphs
Let D = (V,A) be a digraph; if there is at least one arc between every pair of distinct vertices of D, then D is a semicomplete digraph. A digraph D is locally semicomplete if for every vertex x, the out-neighbours of x induce a semicomplete digraph and ...
Li Ruijuan, Han Tingting
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OPERATIONS RESEARCH AND DECISIONS; ISSN 2081 ...
Peters, Hans +2 more
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Sufficient Conditions for a Digraph to Admit A (1, ≤ ℓ)-Identifying Code
A (1, ≤ ℓ)-identifying code in a digraph D is a subset C of vertices of D such that all distinct subsets of vertices of cardinality at most ℓ have distinct closed in-neighbourhoods within C. In this paper, we give some sufficient conditions for a digraph
Balbuena Camino +2 more
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An antidirected trail in a digraph is a trail (a walk with no arc repeated) in which the arcs alternate between forward and backward arcs. An antidirected path is an antidirected trail where no vertex is repeated. We show that it is NP-complete to decide whether two vertices $x,y$ in a digraph are connected by an antidirected path, while one can decide
Jørgen Bang-Jensen +3 more
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The antipodal graph of a graph G, denoted by A(G), has the same vertex set as G with an edge joining vertices u and v if d(u,v) is equal to the diameter of G.
Garry Johns, Karen Sleno
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