Presentation 1994/11/17
Maximally-Distant Common-Tree Pairs and Their Applications to Interval Analysis of Active Circuits
Takao Ozawa,
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Abstract(in Japanese) (See Japanese page)
Abstract(in English) A maximally-distant common-tree pair of 2-graphs (current graph and voltage graph from an active circuit) is defined to be a common-tree pair of the 2-graphs such that the number of edges which the pair have in common is minimum. It is an extension of the well-known maximally-distant tree pair of a single graph defined in relation to the principal partition of a graph. Different from the maximally-distant tree of a single graph, no polynomial-order algorithm for obtaining such a pair is known. Apparently, any such algorithm has to deal with the total of 4 trees in different 2 graphs, which will make the algorithm very complex. We note that 2-graphs derived from an active circuit usually contain parallel or series edge pairs, and based on this fact, we construct a simple heuristic algorithm. The algorithm searches for a parallel or series edge pair in the 2-graphs and assigns each edge of such an edge pair to each common-tree of the common-tree pair. If no parallel or series edge pair is found, the algorithm chooses an edge and splits it in order to create a parallel or series edge pair. The results of the interval analysis of active circuits using the common-tree pairs obtained by the algorithm are presented.
Keyword(in Japanese) (See Japanese page)
Keyword(in English) 2-graph method / graph algorithm / common-tree pair / active circuit analysis / interval analysis
Paper # CAS94-61,CST94-21
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Committee CST
Conference Date 1994/11/17(1days)
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Registration To Concurrent System Technology (CST)
Language JPN
Title (in Japanese) (See Japanese page)
Sub Title (in Japanese) (See Japanese page)
Title (in English) Maximally-Distant Common-Tree Pairs and Their Applications to Interval Analysis of Active Circuits
Sub Title (in English)
Keyword(1) 2-graph method
Keyword(2) graph algorithm
Keyword(3) common-tree pair
Keyword(4) active circuit analysis
Keyword(5) interval analysis
1st Author's Name Takao Ozawa
1st Author's Affiliation Department of Applied Mathematics and Informatics Faculty of Science and Engineering, Ryukoku University()
Date 1994/11/17
Paper # CAS94-61,CST94-21
Volume (vol) vol.94
Number (no) 333
Page pp.pp.-
#Pages 8
Date of Issue