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The spectrum for overlarge sets of directed triple systems

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Science china mathematics 2007年第10期50卷 1369-1381页

作者： Zi-hong TIAN~(1+) Li-jun JI~2 ~1 Institute of mathematics,Hebei Normal university,Shijiazhuang 050016,china ~2 department of mathematics,suzhou university,suzhou 215006,china Institute of mathematics Hebei Normal University Shijiazhuang China department of mathematics Suzhou University Suzhou China

A directed triple system of order v, denoted by DTS(v, λ), is a pair (X,B) where X is a v-set and B is a collection of transitive triples on X such that every ordered pair of X belongs to λ triples of B. An overlarge set of disjoint DTS(v, λ), denoted by OLDTS(v, λ), is a collection {(Y\{y}, Ai)}i,such that Y is a (v + 1)-set, each (Y\{y}, Ai) is a DTS(v, λ) and all Ai's form a partition of all transitive triples of Y. In this paper, we shall discuss the existence problem of OLDTS(v, λ) and give the following conclusion: there exists an OLDTS(v, λ) if and only if either λ = 1 and v = 0, 1 (mod 3), or λ = 3 and v≠2.

关键词： overlarge set directed triple system directed candelabra system

The spectrum of path factorization of bipartite multigraphs

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Science china mathematics 2007年第7期50卷 1045-1054页

作者： Jian WANG~1 Bei-liang DU~(2+) 1 Nantong Vocational College,Nantong 226007,china 2 department of mathematics,suzhou university,suzhou 215006,china Nantong Vocational College Nantong China department of mathematics Suzhou University Suzhou China

Let λK m,n be a bipartite multigraph with two partite sets having m and n vertices, respectively. A P v-factorization of λK m,n is a set of edge-disjoint P v-factors of λK m,n which partition the set of edges of λK m,n . When v is an even number, Ushio, Wang and the second author of the paper gave a necessary and sufficient condition for the existence of a P v-factorization of λK m,n . When v is an odd number, we have proposed a conjecture. Very recently, we have proved that the conjecture is true when v = 4k ? 1. In this paper we shall show that the conjecture is true when v = 4k + 1, and then the conjecture is true. That is, we will prove that the necessary and sufficient conditions for the existence of a P 4k+1-factorization of λK m,n are (1) 2km ? (2k + 1)n, (2) 2kn ? (2k + 1)m, (3) m + n ≡ 0 (mod 4k + 1), (4) λ(4k + 1)mn/[4k(m + n)] is an integer.

关键词： bipartite multigraph factorization 05B30 05C70

The decomposition of K_v into K_2 × K_5's

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Science china mathematics 2007年第10期50卷 1382-1388页

作者： Yang LI~1 Jian-xing YIN~1 Ru-cong ZHANG~2 Gen-nian GE~(2+) ~1 department of mathematics,suzhou university,suzhou 215006,china ~2 department of mathematics,Zhejiang university,Hangzhou 310027,china department of mathematics Suzhou University Suzhou China department of mathematics Zhejiang University Hangzhou China

The decomposition of the complete graph Kv into Kr×Kc's, the products of Kr and Kc,is originated from the use of DNA library screening. In this paper, we consider the case where r=2 and c = 5, and show that such a de... 详细信息

关键词： decomposition, the complete graph Kv, product graph Kr×Kc, DNA library screening

λ-fold indecomposable large sets of Steiner triple systems

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Science china mathematics 2010年第11期53卷 2877-2888页

作者： JI LiJun1, TIAN ZiHong2, & KANG QingDe2 1department of mathematics, suzhou university, suzhou 215006, china 2College of mathematics and Information Science, Hebei Normal university, Shijiazhuang 050016, china department of mathematics Suzhou University Suzhou China College of mathematics and Information Science Hebei Normal University Shijiazhuang China

A family (X, B1), (X, B2), . . . , (X, Bq) of q STS(v)s is a λ-fold large set of STS(v) and denoted by LSTSλ(v) if every 3-subset of X is contained in exactly λ STS(v)s of the collection. It is indecomposable and denoted by IDLSTSλ(v) if there exists no LSTSλ (v) contained in the collection for any λ 1 and orders v ≡ 1, 3 (mod 6) do there exist IDLSTSλ(v)? In this paper, we use partitionable candelabra systems (PCSs) and holey λ-fold large set of STS(v) (HLSTSλ(v)) as auxiliary designs to establish a recursive construction for IDLSTSλ(v) and show that there exists an IDLSTSλ(v) for λ = 2, 3, 4 and v ≡ 1, 3 (mod 6).

关键词： Steiner triple system large set candelabra system indecomposable

CLASSICAL SOLUTION OF QUASI-STATIONARY STEFAN PROBLEM

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Chinese Annals of mathematics,Series B 1996年第2期17卷 175-186页

作者： YI FAHUAI department of mathematics, suzhou university, suzhou 215006, china. department of mathematics Suzhou University Suzhou 215006 China

This paper considers the quasi-stationary Stefan problem:△u(x,t)=0 in space-time domain,u=0 and Vv +(?)u/(?)u=0 on the free boundary.Under the natural conditions the existence of classical solution locally in time is proved bymaking use of the property of Frechet derivative operator and fixed point theorem. For thesake of simplicity only the one-phase problem is dealt with. In fact two-phase problem can bedealt with in a similar way with more complicated calculation.

关键词： Classical solution Quasi-stationary Stefan problem Frechet derivative

A RANDOM FUNCTIONAL CENTRAL LIMIT THEOREM FOR PROCESSES OF PRODUCT SUMS OF LINEAR PROCESSES GENERATED BY MARTINGALE DIFFERENCES

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Chinese Annals of mathematics,Series B 2003年第4期24卷 449-456页

作者： WANG YUEBAO YANG YANG ZHOU HAIYANG department of mathematics, suzhou university, suzhou 215006, Jiangsu, china. department of mathematics, suzhou university, suzhou 215006, Jiangsu, china. department of mathematics Suzhou University Suzhou 215006 Jiangsu China

A random functional central limit theorem is obtained for processes of partial sums andproduct sums of linear processes generated by non-stationary martingale differences. It devel-ops and improves some corresponding results on processes of partial sums of linear processesgenerated by strictly stationary martingale differences, which can be found in [5].

关键词： Ilandom functional central limit theorem Processes of product sums

Difference packing arrays and systematic authentication codes

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Science china mathematics 2004年第4期47卷 566-577页

作者： YIN Jianxingdepartment of mathematics, suzhou university, suzhou 215006, china department of mathematics Suzhou University Suzhou China

In this paper, a type of combinatorial design (called difference packing array)is proposed and used to give a construction of systematic authentication codes. Taking advantage of this construction, some new series of ... 详细信息

关键词： authentication codes, difference packing arrays, constructions.

Weight modules over some Block algebras

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Science china mathematics 2009年第3期52卷 517-525页

作者： L RenCai department of mathematics, suzhou university, suzhou 215006, china department of mathematics Suzhou University Suzhou China

In this paper, the Harish-Chandra modules and Verma modules over Block algebra $ \mathfrak{L} $ [G] are investigated. More precisely, the irreducibility of the Verma modules over $ \mathfrak{L} $ [G] is completely det... 详细信息

关键词： Block algebra weight module highest weight module Harish-Chandra module 17B10 17B65 17B68

The Abundance of Strange Attractor in the Families of Nearby Singular Diffeomorphism

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Acta Mathematica Sinica,English Series 1997年第1期13卷 90-96页

作者： Cao Yongluo (department of mathematics,suzhou university,suzhou 215006,china) department of mathematics Suzhou University Suzhou China

In this paper,we consider the families of nearby singular diffeomorphism and the measure of a set in the parameter space,such that for each point of the set the corresponding diffeomorphism possesses strange *** some families of one-dimensional mapping satisfying certain transversality condition,we prove that there is a positive measure set in the parameter space, such that the system in the corresponding families of nearly singular diffeomorphism has strange ***,we study the dynamics of this type of strange attractor.

关键词： Transversal homoclinic point Strange attractor The families of nearby singular dif-