A U-abundant semigroup S in which every H-class of S contains an element in the set of projections U of S is said to be a U-superabundant semigroup.This is an analogue of regular semigroups which are unions of groups ...A U-abundant semigroup S in which every H-class of S contains an element in the set of projections U of S is said to be a U-superabundant semigroup.This is an analogue of regular semigroups which are unions of groups and an analogue of abundant semigroups which are superabundant.In 1941,Clifford proved that a semigroup is a union of groups if and only if it is a semilattice of completely simple semigroups.Several years later,Fountain generalized this result to the class of superabundant semigroups.In this paper,we extend their work to U-superabundant semigroups.展开更多
In this work, some of the results of the synthesis about the administration systems are expressed. The Author defined four new case theories and 23 main methods, and defined five general political/non-political admini...In this work, some of the results of the synthesis about the administration systems are expressed. The Author defined four new case theories and 23 main methods, and defined five general political/non-political administration system categories for the world countries. Each system is defined with the related 12 sub blocs to solve the general and specific problems of communities, territories, states and/or countries. Each bloc includes presidency, council, committees, associations and R-autonomous construction. For each of these five administration system categories, and for each of their sub blocs, general/specific system administration construction is defined with its 21 blocs. Importance of both sense of justice and continuity/sustainability are described with the related 21 categories defined for each of these perspective. Types of system administration are defined for five categories of administration systems. General and specific characteristics and possible fundamental and representative duties of country presidency system are defined. Ideal political constructions are defined for each of five general administration system categories. Specific way of integration of the past and present politic/non-politic groups into the ideal political construction is defined in multi dimensional form. Constructional centrism, R-Centrism, R-Continuity, R-Democracy, R-Ideology, R-Philosophy, R-Progressive, R-Religion, R-Science, Progressive Religion, ideal stability chart and some other concepts are defined as constructional and/or complementary basics of the systems. Author defined a criterion to measure the value of a country. Effective weight function of a world country is defined as a mathematical function to inspect, observe the performance and progression of a country inside, and/or in the region, and/or in the world. Basic forms of government are re-constructed and/or re-defined as hybrid-powers for each of these five categories of administration systems and general comparison made with the past/present ones. New poli展开更多
With rising labor disputes over recent years,the role of Chinese trade unions has come to the spotlight of public attention.Based on the latest practices of labor relations in China,this paper employs such methods as ...With rising labor disputes over recent years,the role of Chinese trade unions has come to the spotlight of public attention.Based on the latest practices of labor relations in China,this paper employs such methods as text analysis,treatment effect model and instrumental variable to theoretically and empirically demonstrate the shifting role of trade unions in China.Our findings suggest that:(1)Trade unions have lived up to their mandate of protecting employee interest,and have significantly improved employee benefits.(2)Trade unions are no longer preoccupied with corporate interest as they did in a previous period and have restored their role as labor organizations.(3)With the shifting priority of the Party and government,administrative affiliation may propel the transition of operational and organizational models of trade unions,and contribute to rather than impede the shift in trade union functions.Thus,the Party and government should enhance leadership over trade union organizations to create harmonious labor relations.展开更多
Let G be a graph of order n. We define the distance between two vertices u andv in G, denoted by d（u, v）, as the minimum value of the lengths of all u-v paths. We writeσ<sub>k</sub>（G）=min{∑<sub&g...Let G be a graph of order n. We define the distance between two vertices u andv in G, denoted by d（u, v）, as the minimum value of the lengths of all u-v paths. We writeσ<sub>k</sub>（G）=min{∑<sub>i</sub>=1<sup>k</sup> d（v<sub>i</sub>）|{v<sub>1</sub>, v<sub>2</sub>,…, v<sub>k</sub>} is an independent set in G} and NC2（G）=min {|N（u）∪N（v）| | d（u, v）=2}. We denote by ω（G） the number of components of agraph G. A graph G is called 1-tough if ω（G\S）≤|S| for every subset S of V（G） withω（G\S）】l. By c（G） we denote the length of the longest cycle in G; in particular, G iscalled a Hamiltonian graph if c（G）=n. H.A. Jung proved that every 1-tough graphwith order n≥11 and σ2≥n-4 is Hamiltonian. We generalize it further as follows: ifG is a 1-tough graph and σ3（G）≥n, then c（G）≥min {n,2NC2（G）+4}. Thus, theconjecture of D. Bauer, G. Fan and H.J. Veldman in [2] is completely solved.展开更多
Let G be a graph of order n and X V(G). G is called X-cyclable if G has an X-cycle, i.e., a cycle containing all vertices of X. Define the parameters a(X) = max{|S| S is an independent vertex set in G[X] induced by X...Let G be a graph of order n and X V(G). G is called X-cyclable if G has an X-cycle, i.e., a cycle containing all vertices of X. Define the parameters a(X) = max{|S| S is an independent vertex set in G[X] induced by X}, σk(X) = min{∑ki=1dG(x.i| {x1, x1…, xk} is an independent vertex set in G[X]} and NCk(X) = min{|∪ki=1 NG(xi)| | {x1, x2…,xk} is an independent vertex set in G[X] }. Our main result is as follows: If G is a 1-tough graph and X V(G) with σ3(X)≥ n, then for every integer t ≥ 1, G has a cycle C containing at least min{|X|, (2|X| - n + 3δ + 1 - t), |X| + NCt(X) - a(X)} venices of X, where δ(X) = [σ3(X)]. This result further extends previous results in H.J. Broersma et al. in terms of X-cyclability. We also obtain that if G is a 1-tough graph with σ3 (X) ≥ n, then for every integer t ≥ 1, G has a cycle containing at least min{|X|, (4|X|- 2n+4δ(X) + 1 - 2t), NCt (X) +NCt (X)} vertices of X, where NCt (X) = min{|N(I) ∩X|| I is an independent set of t vertices of X}. Analogous results are established for 2-connected graphs.展开更多
For a vertex set{u<sub>1</sub>,u<sub>2</sub>,…,u<sub>k</sub>}of a graph G with n vertices,let s（G;{u<sub>1</sub>,u<sub>2</sub>,…,u<sub>k</sub>...For a vertex set{u<sub>1</sub>,u<sub>2</sub>,…,u<sub>k</sub>}of a graph G with n vertices,let s（G;{u<sub>1</sub>,u<sub>2</sub>,…,u<sub>k</sub>}）=Σ<sub>1</sub>≤i≤j≤k<sup>|N（u<sub>i</sub>）UN（u<sub>j</sub>）|</sup>, NC<sub>k</sub>.=min{s（G;{x<sub>1</sub>,…,x<sub>k</sub>}）:{x<sub>1</sub>,…,x<sub>k</sub>}is an independent set}. In this paper,we shall prove that if G is 3-connected and NC<sub>4</sub>≥3n,then G is either a hamiltonian or Petersen graph.This generalizes some results on the neighborhood union conditions for hamiltonian graphs.展开更多
Protecting the rights and interests of workers and staff members constitutes an important aspect of China＇s human rights protection. At the time when the country is dealing with impacts of the global financial crisis...Protecting the rights and interests of workers and staff members constitutes an important aspect of China＇s human rights protection. At the time when the country is dealing with impacts of the global financial crisis, the All-China Federation of Trade Unions has been working fruitfully and effectively to accelerate economic and social development and safeguard the legitimate rights and interests of workers, therefore making contributions to the protection of the rights and interests of Chinese workers. Now I would like to make a brief introduction on this subject.展开更多
基金supported by National Natural Science Foundation of China (Grant Nos.10671151,10971160,10871161)Natural Science Foundation of of Shaanxi Province (Grant No.SJ08A06)a grant of Wu Jiehyee Charitable Foundation,Hong Kong 2007/09
文摘A U-abundant semigroup S in which every H-class of S contains an element in the set of projections U of S is said to be a U-superabundant semigroup.This is an analogue of regular semigroups which are unions of groups and an analogue of abundant semigroups which are superabundant.In 1941,Clifford proved that a semigroup is a union of groups if and only if it is a semilattice of completely simple semigroups.Several years later,Fountain generalized this result to the class of superabundant semigroups.In this paper,we extend their work to U-superabundant semigroups.
文摘In this work, some of the results of the synthesis about the administration systems are expressed. The Author defined four new case theories and 23 main methods, and defined five general political/non-political administration system categories for the world countries. Each system is defined with the related 12 sub blocs to solve the general and specific problems of communities, territories, states and/or countries. Each bloc includes presidency, council, committees, associations and R-autonomous construction. For each of these five administration system categories, and for each of their sub blocs, general/specific system administration construction is defined with its 21 blocs. Importance of both sense of justice and continuity/sustainability are described with the related 21 categories defined for each of these perspective. Types of system administration are defined for five categories of administration systems. General and specific characteristics and possible fundamental and representative duties of country presidency system are defined. Ideal political constructions are defined for each of five general administration system categories. Specific way of integration of the past and present politic/non-politic groups into the ideal political construction is defined in multi dimensional form. Constructional centrism, R-Centrism, R-Continuity, R-Democracy, R-Ideology, R-Philosophy, R-Progressive, R-Religion, R-Science, Progressive Religion, ideal stability chart and some other concepts are defined as constructional and/or complementary basics of the systems. Author defined a criterion to measure the value of a country. Effective weight function of a world country is defined as a mathematical function to inspect, observe the performance and progression of a country inside, and/or in the region, and/or in the world. Basic forms of government are re-constructed and/or re-defined as hybrid-powers for each of these five categories of administration systems and general comparison made with the past/present ones. New poli
文摘With rising labor disputes over recent years,the role of Chinese trade unions has come to the spotlight of public attention.Based on the latest practices of labor relations in China,this paper employs such methods as text analysis,treatment effect model and instrumental variable to theoretically and empirically demonstrate the shifting role of trade unions in China.Our findings suggest that:(1)Trade unions have lived up to their mandate of protecting employee interest,and have significantly improved employee benefits.(2)Trade unions are no longer preoccupied with corporate interest as they did in a previous period and have restored their role as labor organizations.(3)With the shifting priority of the Party and government,administrative affiliation may propel the transition of operational and organizational models of trade unions,and contribute to rather than impede the shift in trade union functions.Thus,the Party and government should enhance leadership over trade union organizations to create harmonious labor relations.
基金A research supported by National Natural Science Foundation of China.
文摘Let G be a graph of order n. We define the distance between two vertices u andv in G, denoted by d（u, v）, as the minimum value of the lengths of all u-v paths. We writeσ<sub>k</sub>（G）=min{∑<sub>i</sub>=1<sup>k</sup> d（v<sub>i</sub>）|{v<sub>1</sub>, v<sub>2</sub>,…, v<sub>k</sub>} is an independent set in G} and NC2（G）=min {|N（u）∪N（v）| | d（u, v）=2}. We denote by ω（G） the number of components of agraph G. A graph G is called 1-tough if ω（G\S）≤|S| for every subset S of V（G） withω（G\S）】l. By c（G） we denote the length of the longest cycle in G; in particular, G iscalled a Hamiltonian graph if c（G）=n. H.A. Jung proved that every 1-tough graphwith order n≥11 and σ2≥n-4 is Hamiltonian. We generalize it further as follows: ifG is a 1-tough graph and σ3（G）≥n, then c（G）≥min {n,2NC2（G）+4}. Thus, theconjecture of D. Bauer, G. Fan and H.J. Veldman in [2] is completely solved.
基金the Natural Science Foundation of Yunnan Province.
文摘Let G be a graph of order n and X V(G). G is called X-cyclable if G has an X-cycle, i.e., a cycle containing all vertices of X. Define the parameters a(X) = max{|S| S is an independent vertex set in G[X] induced by X}, σk(X) = min{∑ki=1dG(x.i| {x1, x1…, xk} is an independent vertex set in G[X]} and NCk(X) = min{|∪ki=1 NG(xi)| | {x1, x2…,xk} is an independent vertex set in G[X] }. Our main result is as follows: If G is a 1-tough graph and X V(G) with σ3(X)≥ n, then for every integer t ≥ 1, G has a cycle C containing at least min{|X|, (2|X| - n + 3δ + 1 - t), |X| + NCt(X) - a(X)} venices of X, where δ(X) = [σ3(X)]. This result further extends previous results in H.J. Broersma et al. in terms of X-cyclability. We also obtain that if G is a 1-tough graph with σ3 (X) ≥ n, then for every integer t ≥ 1, G has a cycle containing at least min{|X|, (4|X|- 2n+4δ(X) + 1 - 2t), NCt (X) +NCt (X)} vertices of X, where NCt (X) = min{|N(I) ∩X|| I is an independent set of t vertices of X}. Analogous results are established for 2-connected graphs.
基金Supported by the National Natural Science Foundation of ChinaSupported also by the Post-doctoral Foundation of China
文摘For a vertex set{u<sub>1</sub>,u<sub>2</sub>,…,u<sub>k</sub>}of a graph G with n vertices,let s（G;{u<sub>1</sub>,u<sub>2</sub>,…,u<sub>k</sub>}）=Σ<sub>1</sub>≤i≤j≤k<sup>|N（u<sub>i</sub>）UN（u<sub>j</sub>）|</sup>, NC<sub>k</sub>.=min{s（G;{x<sub>1</sub>,…,x<sub>k</sub>}）:{x<sub>1</sub>,…,x<sub>k</sub>}is an independent set}. In this paper,we shall prove that if G is 3-connected and NC<sub>4</sub>≥3n,then G is either a hamiltonian or Petersen graph.This generalizes some results on the neighborhood union conditions for hamiltonian graphs.
文摘Protecting the rights and interests of workers and staff members constitutes an important aspect of China＇s human rights protection. At the time when the country is dealing with impacts of the global financial crisis, the All-China Federation of Trade Unions has been working fruitfully and effectively to accelerate economic and social development and safeguard the legitimate rights and interests of workers, therefore making contributions to the protection of the rights and interests of Chinese workers. Now I would like to make a brief introduction on this subject.
