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Let D be a directed graph with vertex set V and order n. An anti-directed (hamiltonian) cycle H in D is a (hamiltonian) cycle in the graph underlying D such that no pair of consecutive arcs in H form ...
In this paper, an original result in terms of a sufficient condition to test identifiability of nonlinear delayed-differential models with constant delays and multi-inputs is given.
This work considers the quadratic Gaussian multiterminal (MT) source coding problem and provides a new sufficient condition for the Berger-Tung sum-rate bound to be tight. The converse proof utilizes ...
This paper is devoted to derive the necessary and sufficient condition for a set of matrices to commute. It is proved that the commutator [A, B ]= 0 for two matrices A and B if and only if a vector v ...
By making use of Jack's Lemma as well as several differential and other inequalities (and parametric constraints), the authors derive sufficient conditions for starlikeness of a certain class of n-fol...
A Sufficient Condition for the Integral Version of Martins' Inequality.
An improvement of the author's result, proved in 1961, concerning necessary and sufficient conditions for the compactness of an imbedding operator is given.
In this paper a Cauchy problem for holomorphic differential operators of Fuchsian type is investigated. Using Ovcyannikov techniques and the method of majorants, a necessary and sufficient condition f...

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