Results 51 to 60 of about 102 (86)
Partitioning the vertex set of $G$ to make $G\,\Box\, H$ an efficient open domination graph [PDF]
Discrete Mathematics & Theoretical Computer Science, 2016 A graph is an efficient open domination graph if there exists a subset of vertices whose open neighborhoods partition its vertex set. We characterize those graphs $G$ for which the Cartesian product $G \Box H$ is an efficient open domination graph when ...
Tadeja Kraner Šumenjak +3 more
doaj +1 more source
Orientable ℤN-Distance Magic Graphs
Discussiones Mathematicae Graph Theory, 2019 Let G = (V, E) be a graph of order n. A distance magic labeling of G is a bijection ℓ: V → {1, 2, . . ., n} for which there exists a positive integer k such that ∑x∈N(v)ℓ(x) = k for all v ∈ V, where N(v) is the open neighborhood of v.
Cichacz Sylwia +2 more
doaj +1 more source
Open Mathematics, 2016 As a generalization of the Sierpiński-like graphs, the subdivided-line graph Г(G) of a simple connected graph G is defined to be the line graph of the barycentric subdivision of G.
Shang Yilun
doaj +1 more source
Niche Hypergraphs of Products of Digraphs
Discussiones Mathematicae Graph Theory, 2020 If D = (V, A) is a digraph, its niche hypergraph Nℋ(D) = (V, ℰ) has the edge set ℰ={e⊆V||e|≥2∧∃ υ∈V:e=ND−(υ)∨e=ND+(υ)}{\cal E} = \{ {e \subseteq V| | e | \ge 2 \wedge \exists \, \upsilon \in V:e = N_D^ - ( \upsilon ) \vee e = N_D^ + ( \upsilon ...
Sonntag Martin, Teichert Hanns-Martin
doaj +1 more source
Three-arc graphs: characterization and domination
, 2014 An arc of a graph is an oriented edge and a 3-arc is a 4-tuple (v, u, x, y) of vertices such that both (v, u, x) and (u, x, y) are paths of length two. The 3-arc graph of a graph G is defined to have vertices the arcs of G such that two arcs uv, xy are ...
Guangjun Xu, Sanming Zhou
core
On the outer-independent {2}-domination in rooted product graphs
Open MathematicsLet G be a graph with vertex set V(G). A function f: V(G) → {0, 1, 2} is called an outer-independent {2}-dominating function on G if ∑ u∈N[v] f(u) ≥ 2 for every vertex v ∈ V(G) and {v ∈ V(G) : f(v) = 0} is an independent set of G. The minimum weight ω(f)
Cabrera-Martínez Abel +2 more
doaj +1 more source
Novel procedures for graph edge-colouring
, 2018 Orientador: Dr. Renato CarmoCoorientador: Dr. André Luiz Pires GuedesTese (doutorado) - Universidade Federal do Paraná, Setor de Ciências Exatas, Programa de Pós-Graduação em Informática.
Zatesko, Leandro Miranda, 1988-
core
On alpha labeling of tensor product of paths and cycles. [PDF]
Heliyon, 2023 L U, G R.
europepmc +1 more source
The Page Number Problem for Partially Ordered Sets
, 2013 Umieszczenie grafu w książce jest definiowane przez kolejność jego wierzchołków na grzbiecie książki i przyporządkowanie jego krawędzi stronom książki tak, aby na żadnej stronie krawędzie nie przecinały się. Umieszczenie zbioru częściowo uporządkowanego (
Kwiatkowska, Anna Beata
core
Computational analysis for eccentric neighborhood Zagreb indices and their significance. [PDF]
Heliyon, 2023 Ahmed H +4 more
europepmc +1 more source