A tree T is felicitous if there is a labelling l of its vertices with distinct integers from the set {0,1,2,…,｜E(T)｜}, so that the induced edge labelling l′ defined by l′(e)=l(u)+l(v) mod ｜E(T)｜ for eac...A tree T is felicitous if there is a labelling l of its vertices with distinct integers from the set {0,1,2,…,｜E(T)｜}, so that the induced edge labelling l′ defined by l′(e)=l(u)+l(v) mod ｜E(T)｜ for each e=uv∈E(T), assigns each edge e a different label. In this paper, we constructively proved that more classes of trees are felicitous. In the end, we gave a conjecture that every lobster tree is felicitous.展开更多
Building up graph models to simulate scale-free networks is an important method since graphs have been used in researching scale-free networks. One use labelled graphs for distinguishing objects of communication and i...Building up graph models to simulate scale-free networks is an important method since graphs have been used in researching scale-free networks. One use labelled graphs for distinguishing objects of communication and information networks. In this paper some methods are given for constructing larger felicitous graphs from smaller graphs having special felicitous labellings, and some network models are shown to be felicitous.展开更多
It is true and sooth as far as Abraham Linkan’s definition of democracy being implausible in a vast global democratic system. The definition of democracy of Abraham linkan is certainly palatable and practically reali...It is true and sooth as far as Abraham Linkan’s definition of democracy being implausible in a vast global democratic system. The definition of democracy of Abraham linkan is certainly palatable and practically realizable in those ancient times for states, then existed were smaller and nanoscopic and people could directly participate and realize the collective decisions (Abraham Linkan defamation―of the people, by the people, and for the people). In modern democracies, the Abraham Linkan’s defamation was fast losing its relevance and people were groping in the dark. The citizens were challenging in the system on its essentials/prerequisites the state in modern times not only shirking its responsibility but also getting insulated. It was/is at this juncture the dawn of ICT on the horizon made people redeem nuances of participatory democracy development rhythm of true democratic ideals ICT’s initiation in good governance heralded a new phase of participatory democracy development attended to the glorious of direct democracy. The emergency of the ICT filled the vacuum existed between govt. and citizens. It also narrowed down the gap between citizens and govt by holding out their responsibility in terms of development governance in veritably transparent manner. ICT, in other words, the net-work of information, are accessible to all decision-makers and also felicitated in decision-makers to have a direct access to the existing situation and there by strengthening the decision-making process. ICT by its inner strength restored the democratic strength to the citizenry. Thus, the main properties of ICT, such as transfrancy, participation, rule of low, efficiency and effectiveness, etc. propped up the governing entity get entrenched in good governance. Also, it opened new visas for creative discourse based on ICT’s utility in the field of planning and designing of strategies of development at all levels of governing pyramid. The ICT’s fold opportunities for both ruling and being ruled such that a citizenry could collectively constituency observe the action of ruling class as it is entailed to and in turn the government, in principal, has responsibility to focus on and positively respond to. Hence, ICT as a potential agency bridges the gap in all aspect of system yielding place for communion development. The role, ICT in a wider-democratic system and good governance, was also discussed. Conclusion is also drawn keeping in riew its futuristic perspectives and prospects.展开更多
文摘A tree T is felicitous if there is a labelling l of its vertices with distinct integers from the set {0,1,2,…,｜E(T)｜}, so that the induced edge labelling l′ defined by l′(e)=l(u)+l(v) mod ｜E(T)｜ for each e=uv∈E(T), assigns each edge e a different label. In this paper, we constructively proved that more classes of trees are felicitous. In the end, we gave a conjecture that every lobster tree is felicitous.
基金Supported by the National Natural Science Foundation of China under Grant(6116305461163037+1 种基金61363060)Research Projects of Graduate Teacher of Gansu University(1216-01)
文摘Building up graph models to simulate scale-free networks is an important method since graphs have been used in researching scale-free networks. One use labelled graphs for distinguishing objects of communication and information networks. In this paper some methods are given for constructing larger felicitous graphs from smaller graphs having special felicitous labellings, and some network models are shown to be felicitous.
文摘It is true and sooth as far as Abraham Linkan’s definition of democracy being implausible in a vast global democratic system. The definition of democracy of Abraham linkan is certainly palatable and practically realizable in those ancient times for states, then existed were smaller and nanoscopic and people could directly participate and realize the collective decisions (Abraham Linkan defamation―of the people, by the people, and for the people). In modern democracies, the Abraham Linkan’s defamation was fast losing its relevance and people were groping in the dark. The citizens were challenging in the system on its essentials/prerequisites the state in modern times not only shirking its responsibility but also getting insulated. It was/is at this juncture the dawn of ICT on the horizon made people redeem nuances of participatory democracy development rhythm of true democratic ideals ICT’s initiation in good governance heralded a new phase of participatory democracy development attended to the glorious of direct democracy. The emergency of the ICT filled the vacuum existed between govt. and citizens. It also narrowed down the gap between citizens and govt by holding out their responsibility in terms of development governance in veritably transparent manner. ICT, in other words, the net-work of information, are accessible to all decision-makers and also felicitated in decision-makers to have a direct access to the existing situation and there by strengthening the decision-making process. ICT by its inner strength restored the democratic strength to the citizenry. Thus, the main properties of ICT, such as transfrancy, participation, rule of low, efficiency and effectiveness, etc. propped up the governing entity get entrenched in good governance. Also, it opened new visas for creative discourse based on ICT’s utility in the field of planning and designing of strategies of development at all levels of governing pyramid. The ICT’s fold opportunities for both ruling and being ruled such that a citizenry could collectively constituency observe the action of ruling class as it is entailed to and in turn the government, in principal, has responsibility to focus on and positively respond to. Hence, ICT as a potential agency bridges the gap in all aspect of system yielding place for communion development. The role, ICT in a wider-democratic system and good governance, was also discussed. Conclusion is also drawn keeping in riew its futuristic perspectives and prospects.
