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The rotor-router model is a deterministic analogue of random walk. It can be used to define a deterministic growth model analogous to internal DLA. We show that the set of occupied sites for this mode...
Based on the hierarchical ordering principle of factorial effects in experimental design, we propose an aliased effect-number pattern (AENP) as a criterion to judge a two-level regular design; such a ...
Bouvel and Pergola introduced the notion of minimal permutations in the study of the whole genome duplication-random loss model for genome rearrangements. Let Fd(n) denote the set of minimal permutati...
The asynchronous systems are non-deterministic real time, binary valued models of the asynchronous circuits from electronics.
We show that for a -ideal I with a Borel base of subsets of an uncountable Polish space, if A is (in several senses) a ”regularfamily of subsets from I then there is a subfamily of A whose union is...
Some Asymptotic Results on Extended Sequences Connected with the Regular Continued Fraction。
In this paper, we show that an (n+1)-regular conditional linear space with two consecutive line degrees is a projective plane of order n less two lines and all their points, or is a linear space wit...
In the paper we give definition of intrinsic compactness of regular solutions spaces of a class of higher order homogeneous operatordifferential equations and find sufficient conditions for intrinsic ...
In this paper, we de¯ne Chinese checker regular polygons, and determine which Euclidean regular polygons are also Chinese checker regular, and which are not. Finally, we study the problem of ex...
In this paper we prove that if T is a regular n-partite tournament with n≥6, then each arc of T lies on a k-cycle for k=4,5,...,n. Our result generalizes theorems due to Alspach[1] and Guo~[3] respect...
In this paper, we present a reduction algorithm which trans-forms m-regular partitions of [n] = {1,2,. . . , n} to (m-1)-regular partitions of [n-1]. We show that this algorithm preserves the noncross...

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