Unfortunately, solving Eq. (27) directly is an intractable problem; therefore, we present bounds in the following: To obtain a lower bound, we make use of the dominant interferer phenomenon which was originally introduced for communication networks (see [7]), and adapt it to the case of radar network outage.
Since the exact analysis is mathematically intractable, we present bounds of outage and ergodic performances.
In particular, when available, we present bounds which permit to relate performance and topology for general graphs, for graphs with symmetries, called d-dimensional tori, and for geometric graphs.
In particular, when available, we present bounds by which it is possible to relate performance and topology for general graphs, for graphs with symmetries, called Cayley graphs, and for geometric graphs.
Beyond the previously derived bound on the real parameters of PMDL sufficient for the absorption of outgoing propagating anti-plane wavemodes, we present bounds on the complex parameters of PMDL necessary for the absorption of outgoing propagating and evanescent wavemodes for both anti-plane and coupled in-plane pressure and shear waves.
So, we presented bounds for the first Zagreb index, the ABC-index, the third Zagreb index, the augmented Zagreb index, the F-index, the first multiple Zagreb index and the GA-index for the Cartesian product of F-sum of graphs in form of its factor graphs.
In this paper, in order to improve the scalability and efficiency of the verification, we introduce a new encoding of the workflow models using the Alloy specification language, and we present a bounded verification approach for workflow models based on relational logic.
In this section, initially, we present a novel bounded real lemma for fuzzy singular system (6) with time-varying delay (2), which focuses on tackling the time-varying delay by virtue of the reciprocally convex combination method and fuzzy Lyapunov-Krasovskii function method, then another form of the proposed bounded real lemma is derived by using the matrix decoupling technique.
Furthermore, we give some bounds on total restrained domination number of graphs with diameter 3. Finally, we present some bounds for total restrained domination number of some planar graphs with diameter 2 and γ-set of cardinality 2. We begin with the following result that has a straightforward proof.
Furthermore, we give some bounds on total restrained domination number of graphs with diameter 3. Finally, we present some bounds for total restrained domination number of some planar graphs with diameter 2 and γ-set of cardinality 2. In the whole paper, G is a simple graph with vertex set V(G) and edge set E(G) (briefly V and E).
