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Here, the result is extended by presenting an exponential lower bound for the general reachability problem.
In this section, we find sharp lower bound for the general sum-connectivity index of cacti.
In this section, we find sharp lower bound for the general Randić index of cacti.
In [20, 21], a lower and a conjectured upper bound for the general case is introduced and will be discussed later.
In particular, we first consider the cut-set outer bound for the general half-duplex two-way relay channel and then show that, for Gaussian channels, it is equivalent to the cut-set outer bound for the restricted half-duplex two-way relay channel.
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The authors of [20, 21] presented a theorem to obtain a lower bound for the most general case for any given input and signature matrix symbols and additive noise with arbitrary distribution: Theorem 9 C ( m, n, ℐ, S, η ) ≥ sup π, p sup q - m E ( q ( N 1 ) ) (1) - l o g E X ̃ E b, N 1 2 - q N 1 - s b T X ̃ m m (2) (3) (30).
We derive an inner bound for the capacity region in the general discrete memoryless case and specialize to a binary noiseless case.
In [20, 21], a lower bound for the channel capacity for the general case was introduced which is stated in the following theorem: Theorem 7 C ( m, n, ℐ, S ) ≥ sup p, π - l o g E X ̃ ( ℙ ( a T X ̃ = 0 ) m ), (21).
In [10], an outer bound for the capacity of a general IFC-CR was first derived.
In [20, 21], the authors introduced a theorem that presents a conjectured upper bound for the channel capacity in general.
D is said to be a small k-dominating set if it has at most [n/k+1] nodes, which is the best lower bound for the size of D in general.
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