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On Maximum Income Spanning Forest Games

Author: LiWenPing
Tutor: XieZheng
School: National University of Defense Science and Technology
Course: Mathematics
Keywords: Cooperative games Maximum income support forest countermeasures Core Nucleolus Nuclear T connectivity Maximum income support tree Representative set
CLC: O157.5
Type: Master's thesis
Year: 2007
Downloads: 14
Quote: 0
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Abstract


Cooperative games as an important branch of game theory , the core issue is how to allocate the benefits of cooperation , that seek the solution of the cooperative game . Given the complexity and graph theory seeking general Cooperative Game Solutions concise argument cooperative game combine with graph theory , cooperation on research Figure countermeasures . since the Bird in 1976, defines the minimum cost spanning tree countermeasures since there are a lot of literature to study cooperative games chart a new cooperative game defined in Figure - the largest income support forest countermeasures , it does not exist the source point . conclusions with reference to the minimum cost spanning tree countermeasures already given the maximum income support forest countermeasures in the core of nuclear and nucleolar conclusions This paper studies the following five questions : 1 . define the maximum income support forest countermeasures analysis of the definition of reasonable , pointed out the differences and connections with minimum cost spanning tree countermeasures .2 . proved that the maximum income to support the existence of core forest countermeasures theorem and representation theorem to simplify the definition of the core and the nucleolus .3 . describe the relationship between the maximum income support forest countermeasures in the core of nuclear and nucleolar necessary and sufficient conditions of the distribution of the core in the nuclear and using an iterative method to prove that the intersection of the core and nuclear is the nucleolus .4 tree maximum benefit to support forest countermeasures , given its the nucleolus ( nuclear ), method , and extended to the conclusion of the tree has nothing to do map .5 . containing cut points on the map the largest gains support forest countermeasures nucleolus decomposition theorem .

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CLC: > Mathematical sciences and chemical > Mathematics > Algebra,number theory, portfolio theory > Combinatorics ( combinatorics ) > Graph Theory
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