For a positive integer k, a k-rainbow dominating function of a digraph D is a function f from the vertex set V (D) to the set of all subsets of the set {1, 2, . . . , k} such that for any vertex v ∈ V (D) with f(v) = ∅ the condition u∈N−(v) f(u) = {1, 2, . . . , k} is fulfilled, where N−(v) is the set of in-neighbors of v. A set {f1, f2, . . . , fd} of k-rainbow dominating functions on D with t...

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Backward compatibility is an essential ingredient for the success of new technologies. In the context of inband full-duplex (FD) communication, FD base stations (BSs) should support half-duplex (HD) users’ equipment (UEs) without sacrificing the foreseen FD gains. This paper presents flexible and tractable modeling framework for multi-tier cellular networks with FD BSs and FD/HD UEs. The presen...

Let D be a simple digraph with vertex set V (D), and let f : V (D) → {−1, 1} be a two-valued function. If k ≥ 1 is an integer and ∑x∈N−[v] f(x) ≥ k for each v ∈ V (D), where N[v] consists of v and all vertices of D from which arcs go into v, then f is a signed k-dominating function on D. A set {f1, f2, . . . , fd} of distinct signed k-dominating functions on D with the property that ∑d i=1 fi(x...

Financial inclusion (FI) is an aspect of risk inherent in financing where this Islamic law that applied mudharabah and musyarakah contracts. Its application can be done through the derivation RBT with portfolio theory, from second it produces a strategic agility diversification investment (SADI) proposition. To able to improve financial performance FIs form challenge facing, benefits, realizati...

Regulation Fair Disclosure (Reg FD) prohibits selective disclosure of material information to a subset of market participants such as analysts and institutional investors without simultaneously disclosing the same information to the investing public. We examine the effect of Reg FD on the cost of equity capital. If Reg FD curtails selective disclosure without a significant adverse effect on the...

Pulsed-laser desorption is used as a means of volatilizing nucleosides into the gas phase for entrainment into a supersonic jet expansion. These species are then studied in a time-of-flight mass spectrometer by resonance enhanced multiphoton ionization. Using this combination of techniques either relatively soft ionization or controlled fragmentation can be produced. The degree of molecular ion...

For an optimal binary search tree T with a subtree S(d) at a distance d from the root of T, we study the ratio of the weight of S(d) to the weight of T. The maximum possible value, which we call ρ(d), of the ratio of weights, is found to have an upper bound of 2/Fd+3 where Fi is the ith Fibonacci number. For d = 1, 2, 3, and 4, the bound is shown to be tight. For larger d, the Fibonacci bound g...

In 1988 P. Erdös asked if the prime divisors of x−1 for all n = 1, 2, . . . determine the given integer x; the problem was affirmatively answered by Corrales-Rodorigáñez and R. Schoof [2] in 1997 together with its elliptic version. Analogously, K. Yamanoi [14] proved in 2004 that the support of the pull-backed divisor fD of an ample divisor on an abelian variety A by an algebraically non-degene...

With the exponential expansion of information availability on the Internet, users are locating needed information through search engines and relying on heuristics and trial-and-error to find what they need. This paper proposes a Meta-cognitive, Systems-based, Information Structuring (McSIS) model to systematize users’ information search behavior. The General Systems Theory’s (GST) prepositions,...