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The Zero Forcing Number of Graphs [PDF]
A subset S of initially infected vertices of a graph G is called zero forcing if we can infect the entire graph by iteratively applying the following process. At each step, any infected vertex which has a unique uninfected neighbor, infects this neighbor. The zero forcing number of G is the minimum cardinality of a zero forcing set in G.
Kalinowski, Thomas +2 more
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Positive semidefinite zero forcing
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Ekstrand, Jason +13 more
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In this paper, we study minimal (with respect to inclusion) zero forcing sets. We first investigate when a graph can have polynomially or exponentially many distinct minimal zero forcing sets. We also study the maximum size of a minimal zero forcing set $\overline{\operatorname{Z}}(G)$, and relate it to the zero forcing number $\operatorname{Z}(G ...
Brimkov, Boris, Carlson, Joshua
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Fuzzy Forcing Set on Fuzzy Graphs [PDF]
The investigation of impact of fuzzy sets on zero forcing set is the main aim of this paper. According to this, results lead us to a new concept which we introduce it as Fuzzy Zero Forcing Set (FZFS). We propose this concept and suggest a polynomial time
Layia Aliahmadipour, Saeedeh Rashidi
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Considering any dense subsemigroup of the additive semigroup of positive real numbers and a filter associated with it as the domain of thought, various concepts of sets like sets that forces recurrence near zero, sets that contains broken IP-set near near zero, sets that forces uniform recurrence near zero and sets that contains broken syndetic set ...
Manoranjan Singha, Ujjal Kumar Hom
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Forcing Parameters in Fully Connected Cubic Networks
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
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Signed zero forcing number and controllability for a networks system with a directed hypercube [PDF]
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
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Improved Signal Detection Techniques for QOSTBC System in Fast Fading Channel
Most existing quasi-orthogonal space time block coding (QO-STBC) schemes have been developed relying on the assumption that the channel is flat or remains static during the length of the code word symbol periods to achieve an optimal antenna diversity ...
Jyoti Prasanna Patra, Poonam Singh
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This paper considers a network of a multi-antenna array base station (BS) and a reconfigurable intelligent surface (RIS) to deliver both information to information users (IUs) and power to energy users (EUs). The RIS links the connection between the IUs and the BS as there is no direct path between the former and the latter.
Hongwen Yu +4 more
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Impulse noise is the major factor degrading the performance of the wireless system, imposing the need for the impulse noise mitigation strategy. Mainly, in the multiple-input multiple-output (MIMO) and orthogonal frequency-division multiplexing (OFDM ...
S. P. Girija, Rameshwar Rao
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