Results 41 to 50 of about 1,064,288 (288)
A lower bound on the zero forcing number [PDF]
Discrete Applied Mathematics, 2018 In this note, we study a dynamic vertex coloring for a graph $G$. In particular, one starts with a certain set of vertices black, and all other vertices white. Then, at each time step, a black vertex with exactly one white neighbor forces its white neighbor to become black.
Randy Davila +2 more
openaire +4 more sources
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
Forts, (fractional) zero forcing, and Cartesian products of graphs [PDF]
, 2023 The (disjoint) fort number and fractional zero forcing number are introduced and related to existing parameters including the (standard) zero forcing number.
Kenter, Franklin +4 more
core +2 more sources
Failed Zero Forcing Numbers of Trees and Circulant Graphs
Theory and Applications of GraphsGiven 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 (described below) results in all vertices being in $S$.
Luis Gomez +4 more
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Beamforming design of sum rate optimization for MU-MISO scenario
上海师范大学学报. 自然科学版, 2015 This paper investigates the beamforming design based on perfect channel state information (CSI) in a multi-user downlink network.The base station (BS) is equipped with multiple antennas while each user is equipped with one antenna.The BS will communicate
ZHAO Pu, YU Hui, LUO Hanwen
doaj +1 more source
Rate Splitting With Finite Constellations: The Benefits of Interference Exploitation vs Suppression
IEEE Open Journal of the Communications Society, 2021 Rate-Splitting (RS) has been shown recently to be a powerful approach for the design of non-orthogonal transmission, multiple access, and interference management strategies in multi-user multi-antenna systems.
Abdelhamid Salem +2 more
doaj +1 more source
Throttling for Zero Forcing and Variants
Australas. J Comb., 2018 17 pages, 4 ...
openaire +4 more sources
Tellus: Series A, Dynamic Meteorology and Oceanography, 2022 This paper considers a dynamical system described by a multidimensional state vector x. A component 'x' of x evolves according to 'dx/dt = f'(x). Equilibrium fluctuations are fluctuations of an equilibrium solution x('t') obtained when the system is in ...
Jin-Song von Storch
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Therapeutic Apheresis and Dialysis, EarlyView.ABSTRACT Background Japan has one of the highest dialysis prevalence rates worldwide and a shrinking, aging population. Whether dialysis burden has entered a sustained post‐peak phase or whether recent declines partly reflect pandemic‐related disruptions remains uncertain.
Hatice Şahin +2 more
wiley +1 more source