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Distance Between α-Orientations of Plane Graphs by Facial Cycle Reversals

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Acta Mathematica Sinica,English Series 2019年第4期35卷 569-576页

作者： Wei Juan zhang jian Guo QIAN fu ji zhang School of Mathematical Sciences Xiamen University School of Mathematical Sciences Xinjiang Normal University

Cycle reversal had been shown as a powerful method to deal with the relation among orientations of a graph since it preserves the out-degree of each vertex and the connectivity of the orientations. A facial cycle reversal on an orientation of a plane graph is an operation that reverses all the directions of the edges of a directed facial cycle. An orientation of a graph is called an α-orientation if each vertex admits a prescribed out-degree. In this paper, we give an explicit formula for the minimum number of the facial cycle reversals needed to transform one α-orientation into another for plane graphs.

关键词： α-Orientation facial cycle reversal distance plane graph

The Degree Distribution of the Random Multigraphs

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Acta Mathematica Sinica,English Series 2012年第5期28卷 941-956页

作者： Ai Lian CHEN fu ji zhang Hao LI College of Mathematics and Computer Science Fuzhou University School of Mathematical Sciences Xiamen University Laboratoire de Recherche en Informatique UMR 8623C.N.R.S.-Universitde Paris-sud

In this paper, as a generalization of the binomial random graph model, we define the model of multigraphs as follows： let G（n; {pk}） be the probability space of all the labelled loopless multigraphs with vertex set V = {v1, v2, ..., vn }, in which the distribution of tvi,vj, the number of the edges between any two vertices vi and vj is P{tvi,vj =k}=Pk, k=0, 1,2,...and they are independent of each other. Denote by Xd = Xd（G）,Yd = Yd（G）, Zd = Zd（G） and Zcd = Zcd（G） the number of vertices of G with degree d, at least d, at most d and between c and d. In this paper, we discuss the distribution of Xd, Yd, Zd and Zcd in the probability space G（n; （Pk））.

关键词： Degree distribution random multigraph degree sequence

The Maximum and Minimum Degree of the Random r-uniform r-partite Hypergraphs

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Acta Mathematicae Applicatae Sinica 2016年第4期32卷 867-874页

作者： Ai-lian CHEN Hao LI fu-ji zhang College of Mathematics and Computer Science Fuzhou University Fuzhou 350108 China Laboratoire de Recherche en Informatique UMR 8623 C. N. R. S. -Universite de Paris-sud 91405-Orsay cedex France School of Mathematical Sciences Xiamen University Xiamen 361005 China

In this paper we consider the random r-uniform r-partite hypergraph model H（n1, n2,…, nr; n, p） which consists of all the r-uniform r-partite hypergraphs with vertex partition {V1,V2,…, Vr} where ｜Vi｜ = ni = ni（n）（1 ≤ i ≤ r） are positive integer-valued functions on n with n1 ＋n2 ＋… ＋nr =n, and each r-subset containing exactly one element in Vi （1 ≤ i ≤ r） is chosen to be a hyperedge of Hp ∈H（n1,n2,…,nr;n,p） with probability p = p（n）, all choices being independent. Let △V1 = △V1 （H） and δv1 = δv1（H） be the maximum and minimum degree of vertices in V1 of H, respectively; Xd,V1 = Xd,V1 （H）, Yd,V1 = Yd,V1 （H）, Zd,V1 = Zd,V1 （H） and Zc,d,V1=Zc,d,V1 （H） be the number of vertices in V1 of H with degree d, at least d, at most d, and between c and d, respectively. In this paper we obtain that in the space H（n1, n2,…, nr; n,p）, Xd,V1, Yd,V1, Zd,V1, and Zc,d,V1all have asymptotically Poisson distributions. We also answer the following two questions. What is the range of p that there exists a function D（n） such that in the space H（n1, n2,…,nr; n, p）, lim n→＋∞ P（△v1 = D（n）） = 1？ What is the range of p such that a.e., Hp ∈ H（n1,n2,...,nr;n,p） has a unique vertex in V1 with degree Av1（Hp）？ Both answers are p = o（logn1/N）, where N = r ∏ i=2 ni. The corresponding problems on δv1（Hp） also are considered, and we obtained the answers are p ≤ （1＋o（1））（logn1/N） andp=o （log n1/N）, respectively.

关键词： maximum degree minimum degree degree distribution random uniform hypergraphs

Partial Cubes and Archimedean Tilings

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Acta Mathematicae Applicatae Sinica 2018年第4期34卷 782-791页

作者： Yun-jing PAN Ming-fang XIE fu-ji zhang ChengYi College Jimei University Xiamen 361021 China jiangxia University Fuzhou 350108 China School of Mathematical Sciences Xiamen University Xiamen 361005 China

Some physicists depicted the molecular structure SnCl_2 · 2（H_2O） by a piece of an Archimedean tiling（4.8.8） that is a partial cube. Inspired by this fact, we determine Archimedean tilings whose connected subgraphs are all partial cubes. Actually there are only four Archimedean tilings,（4.***.4.4）,（6.6.6）,（4.8.8） and（4.6.12）, which have this property. furthermore, we obtain analytical expressions for Wiener numbers of some connected subgraphs of（4.8.8） and（4.6.12） tilings. In addition, we also discuss their asymptotic behaviors.

关键词： archimedean tiling wiener number partial cube average distance

The Characterization of p-factor-critical Graphs

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Acta Mathematicae Applicatae Sinica 2022年第1期38卷 154-158页

作者： Shao-hui ZHAI Er-ling WEI fu-ji zhang School of Applied Mathematics Xiamen University of TechnologyXiamen 361024China School of Mathematics Renmin University of ChinaBeijing 100872China School of Mathematical Sciences Xiamen UniversityXiamen 361005China

A graph G is said to be p-factor-critical if G-u1-u2-···-up has a perfect matching for any u1,u2,···,up∈V(G).The concept of p-factor-critical is a generalization of the concepts of factor-critical and bicritical for p=1 and p=2,*** zhang and fuji zhang[Construction for bicritical graphs and k-extendable bipartite graphs,Discrete Math.,306(2006)1415–1423]gave a concise structure characterization of bicritical *** this paper,we present the characterizations of p-factor-critical graphs and minimal p-factorcritical graphs for p≥*** an application,we also obtain a class of graphs which are minimal p-factor-critical for p≥1.

关键词： perfect matching,p-factor-critical graph transversal

Stellar spectra association rule mining method based on the weighted frequent pattern tree

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Research in Astronomy and Astrophysics 2013年第3期13卷 334-342页

作者： jiang-Hui Cai Xu-Jun Zhao Shi-Wei Sun ji-fu zhang Hai-Feng Yang School of Computer Science and Technology Taiyuan University of Science and Technology National Astronomical Observatories Chinese Academy of Sciences

Effective extraction of data association rules can provide a reliable basis for classification of stellar spectra. The concept of stellar spectrum weighted itemsets and stellar spectrum weighted association rules are introduced, and the weight of a single property in the stellar spectrum is determined by information entropy. On that basis, a method is presented to mine the association rules of a stellar spectrum based on the weighted frequent pattern tree. Important properties of the spectral line are highlighted using this method. At the same time, the waveform of the whole spectrum is taken into account. The experimental results show that the data association rules of a stellar spectrum mined with this method are consistent with the main features of stellar spectral types.

关键词： methods: data analysis -- stars: fundamental parameters -- techniques:spectroscopic -- astronomical data bases: miscellaneous

Secretory Expression of E2 Main Antigen Domain of CSFV C Strain and the Establishment of Indirect ELISA Assay

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Virologica Sinica 2008年第5期23卷 363-368页

作者： Guo-zhen LIN Chang-qing QIU fu-ying ZHENG ji-zhang ZHOU Xiao-an CAO Key Laboratory of Animal Virology of Ministry of Agriculture State Key Laboratory of Veterinary EtiologicalBiology Lanzhou Veterinary Research Institute Chinese Academy of Agricultural Sciences Lanzhou Gansu730046 China

The sequence encoding an E2 main antigen glycoprotein of the C strain of classical swine fever virus (CSFV) was highly expressed in the host cell E. coli BL21–CodonPlus (DE3)–RIL using the pGEX-4T-1 expression vector and the soluble recombinant product was purified with Glutathione Sepharose TM4B by centrifugation. The soluble recombinant protein showed good immune reactions and was confirmed by Western blot using anti-CSFV-specific antibodies. Then an indirect ELISA with the purified E2 protein as the coating antigen was established to detect antibody against CSFV. The result revealed that the optimal concentration of coated antigen was 0.6 μg/well and the optimal dilution of serum was 1:80. The positive cut-off value of this ELISA assay was OD tested serum / OD negative serum≥2.1. The E2-ELISA method was evaluated by comparison with the indirect hemagglutination test (IHAT). When a total of 100 field serum samples were tested the sensitivity and specificity were 90.3% and 94.7% respectively. Specificity analysis showed that there were no cross-reactions between BVD serum and the purified E2 protein in the E2-ELISA.

关键词： CSFV C strain E2 gene Indirect ELISA Secretory Expression

An Indirect ELISA of Classical Swine Fever Virus Based on Quadruple Antigenic Epitope Peptide Expressed in ***

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Virologica Sinica 2010年第1期25卷 71-76页

作者： Guo-zhen LIN fu-ying ZHENG ji-zhang ZHOU Xiao-an CAO Xiao-wei GONG Guang-hua WANG Chang-qing QIU Key Laboratories of Grazing Animal Diseases and Animal Virology Ministry of Agriculture Lanzhou Veterinary Research Institute Chinese Academy of Agricultural Sciences Lanzhou 730046 China State Key Laboratory of Veterinao Etiological Biology Lanzhou Veterinary Research Institute Chinese Academy of Agricultural Sciences Lanzhou 730046 China

In this study,a synthesized quadruple antigenic epitope gene region of the classical swine fever virus (CSFV)E2 glycoprotein was expressed in *** to a obtain target *** target protein was used as a coating antigen to establish an indirect ELISA for specifically detecting anti-CSFV antibodies in serum samples from *** P/N cut-off value of this assay was 1.92 by receiver operating characteristic curve(ROC)analysis based on 30 negative sera and 80 positive *** test gave 97.5%sensitivity and 96.7%specificity compared with the indirect hemagglutination(IHA)*** inter-assay and intra-assay coefficients of variation (CVs)for 16 sera were both≤6.8%.No cross-reactivity between the coating antigen and anti-bovine viral diarrhoea virus(BVDV)antibodies was observed.

关键词： Antigenic epitope Bovine viral diarrhoea virus (BVDV) Classical swine fever virus (CSFV) Expression Indirect ELISA

Infinite Circulant Digraphs and Random Infinite Circulant Digraphs

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Acta Mathematica Sinica,English Series 2002年第4期18卷 817-822页

作者： Qiang Xiang HUANG ji Xiang MENG The College of Mathematics and Sciences. Xinjiang University. Urumqi 830046. P. R. China fu ji zhang The Department of Mathematics. Xiamen University. Xiamen 301005. P. R. China The College of Mathematics and Sciences Xinjiang University Urumqi P. R. China The Department of Mathematics Xiamen University Xiamen P. R. China

In this paper, we completely determine the connectivity of every infinite circulant digraphs and prove that almost all infinite circulant digraphs are infinitely strongly connected and therefore have both one-and two-... 详细信息

关键词： Infinite circulant digraph Connectivity Hamiltonian path