Results 31 to 40 of about 3,632 (158)
On edge-sets of bicliques in graphs [PDF]
A biclique is a maximal induced complete bipartite subgraph of a graph. We investigate the intersection structure of edge-sets of bicliques in a graph. Specifically, we study the associated edge-biclique hypergraph whose hyperedges are precisely the edge-
Groshaus, Marina +2 more
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The Complexity of Secure Domination Problem in Graphs
A dominating set of a graph G is a subset D ⊆ V (G) such that every vertex not in D is adjacent to at least one vertex in D. A dominating set S of G is called a secure dominating set if each vertex u ∈ V (G) \ S has one neighbor v in S such that (S \ {v})
Wang Haichao, Zhao Yancai, Deng Yunping
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Chordal bipartite, strongly chordal, and strongly chordal bipartite graphs
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Some Progress on the Double Roman Domination in Graphs
For a graph G = (V,E), a double Roman dominating function (or just DRDF) is a function f : V → {0, 1, 2, 3} having the property that if f(v) = 0 for a vertex v, then v has at least two neighbors assigned 2 under f or one neighbor assigned 3 under f, and ...
Rad Nader Jafari, Rahbani Hadi
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On the Total Double Roman Domination
Let G = (V, E) be a simple graph. A double Roman dominating function (DRDF) on G is a function f from the vertex set V of G into {0, 1, 2, 3} such that if f (u) = 0, then u must have at least two neighbors assigned 2 or one neighbor assigned 3 under f ...
Zehui Shao +3 more
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Signed total double Roman dominating functions in graphs
A signed total double Roman dominating function (STDRDF) on an isolated-free graph [Formula: see text] is a function [Formula: see text] such that (i) every vertex v with [Formula: see text] has at least two neighbors assigned 2 under f or one neighbor w
L. Shahbazi +2 more
doaj +1 more source
Domination problems are fundamental problems in graph theory with diverse applications in optimization, network design, and computational complexity.
Chuan-Min Lee
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On the complexity of some hop domination parameters
A hop Roman dominating function (HRDF) on a graph G = (V, E) is a function f : V → {0, 1, 2} having the property that for every vertex v ∈ V with f(v) = 0 there is a vertex u with f(u) = 2 and d(u, v) = 2. The weight of an HRDF f is the sum of its values
Nader Jafari Rad, Elahe Shabani
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Hamiltonian circuits in chordal bipartite graphs
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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ABSTRACT Plant‐hummingbird interaction networks can be influenced by environmental conditions and resources, which vary seasonally and daily. We aimed to understand how variations in these parameters across these two temporal windows influence patterns of plant‐hummingbird interactions and hummingbirds dominance hierarchies in a Brazilian Cerrado ...
Jeane Lima‐Passos +3 more
wiley +1 more source

