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Lower bounds for strictly fundamental cycle bases in grid ...
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由 E Köhler 著作2009被引用 4 次 — Consider the following problem: compute a spanning tree such that the sum of the lengths of its induced fundamental circuits is as small as ...
Lower bounds for strictly fundamental cycle bases in grid graphs ...
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Consider the following problem: compute a spanning tree such that the sum of the lengths of its induced fundamental circuits is as small as possible.
Lower bounds for strictly fundamental cycle bases in grid ...
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由 E Köhler 著作2009被引用 4 次 — The planar grid graph GN,N has a unique minimum cycle basis B. In B each basic circuit contains precisely four edges, thus (B) = 4ν = (n). The ...
Lower bounds for strictly fundamental cycle bases in grid graphs
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Lower bounds for strictly fundamental cycle bases in grid graphs. Ekkehard Köhler, Christian Liebchen, Gregor Wünsch, Romeo Rizzi. Export metadata. BibTeX · RIS ...
(PDF) Benchmarks for Strictly Fundamental Cycle Bases
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We identify square planar grid graphs as being very challenging testbeds for the MSFCB. The best lower and upper bounds for this problem are due to Alon, Karp, ...
reducing the optimality gap of strictly fundamental cycle ...
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由 E Kohler 著作被引用 5 次 — We presented a new technique for computing lower bounds for the minimum strictly fundamen- tal cycle basis (MSFCB) problem on planar square grids. Moreover ...
Benchmarks for Strictly Fundamental Cycle Bases
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由 C Liebchen 著作2007被引用 9 次 — On grid graphs, this yields a lower bound of 4·(. √ n−1)2. Yet, exploiting the particular structure of grid graphs one can achieve lower bounds for the ...
Survey Cycle bases in graphs characterization, algorithms, ...
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由 T Kavitha 著作2009被引用 236 次 — We introduce different kinds of cycle bases, characterize them in terms of their cycle matrix, and prove structural results and a priori length bounds. We ...
(PDF) Mathematical models and a constructive heuristic for ...
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2024年10月22日 — This paper describes a new heuristic method for finding minimum fundamental cycle bases in biconnected, undirected graphs. At each iteration, a ...
Benchmarks for strictly fundamental cycle bases | Proceedings of the ...
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We identify square planar grid graphs as being very challenging testbeds for the MSFCB. The best lower and upper bounds for this problem are due to Alon, ...