Results 1 to 10 of about 26,662 (114)
Characterization of All Graphs with a Failed Skew Zero Forcing Number of 1
Mathematics, 2022 Given a graph G, the zero forcing number of G, Z(G), is the minimum cardinality of any set S of vertices of which repeated applications of the forcing rule results in all vertices being in S.
Aidan Johnson +2 more
doaj +3 more sources
GRAPHS WITH TOTAL FORCING NUMBER TWO, REVISITED [PDF]
Journal of Algebraic Systems, 2021 A subset of the vertex set of a graph $G$ is called a zero forcing set if by considering them colored and, as far as possible, a colored vertex with exactly one non-colored neighbor forces its non-colored neighbor to get colored, then the whole vertices ...
M. Alishahi, E. Rezaei-Sani
doaj +1 more source
Properties of SuperHyperGraph and Neutrosophic SuperHyperGraph [PDF]
Neutrosophic Sets and Systems, 2022 New setting is introduced to study dominating, resolving, coloring, Eulerian(Hamiltonian) neutrosophic path, n-Eulerian(Hamiltonian) neutrosophic path, zero forcing number, zero forcing neutrosophicnumber, independent number, independent neutrosophic ...
Henry Garrett
doaj +1 more source
Connected zero forcing sets and connected propagation time of graphs [PDF]
Transactions on Combinatorics, 2020 The zero forcing number $Z(G)$ of a graph $G$ is the minimum cardinality of a set $S$ with colored (black) vertices which forces the set $V(G)$ to be colored (black) after some times.
Maryam Khosravi +2 more
doaj +1 more source
Signed zero forcing number and controllability for a networks system with a directed hypercube [PDF]
MATEC Web of Conferences, 2022 The controllability for complex network system is to find the minimum number of leaders for the network system to achieve effective control of the global networks.
Mou Gufang, Zhang Qiuyan
doaj +1 more source
Forcing Parameters in Fully Connected Cubic Networks
Mathematics, 2022 Domination in graphs has been extensively studied and adopted in many real life applications. The monitoring electrical power system is a variant of a domination problem called power domination problem.
Yongsheng Rao +4 more
doaj +1 more source
On the zero forcing number of generalized Sierpinski graphs [PDF]
Transactions on Combinatorics, 2019 In this article we study the Zero forcing number of Generalized Sierpi\'{n}ski graphs $S(G,t)$. More precisely, we obtain a general lower bound on the Zero forcing number of $S(G,t)$ and we show that this bound is tight.
Ebrahim Vatandoost +2 more
doaj +1 more source
An Inverse Approach for Finding Graphs with a Failed Zero Forcing Number of k
Mathematics, 2023 For a given a graph G, the zero forcing number of G, Z(G), is the smallest cardinality of any set S of vertices on which repeated applications of the forcing rule results in all vertices being included in S.
Chirag Kaudan +2 more
doaj +1 more source
Theory and Applications of Graphs, 2015 The k-forcing number of a graph is a generalization of the zero forcing number. In this note, we give a greedy algorithm to approximate the k-forcing number of a graph. Using this dynamic approach, we give corollaries which improve upon two theorems from
Yair Caro, Ryan Pepper
doaj +1 more source
Throughput, Spectral, and Energy Efficiency of 5G Massive MIMO Applications Using Different Linear Precoding Schemes [PDF]
International Journal of Electronics and Telecommunications, 2023 On fifth-generation wireless networks, a potential massive MIMO system is used to meet the ever-increasing request for high-traffic data rates, high-resolution streaming media, and cognitive communication.
Ibrahim Salah +3 more
doaj +1 more source