An inductive construction of minimally rigid body-hinge simple graphs

Yuya Higashikawa, Naoyuki Kamiyama, Naoki Katoh, Yuki Kobayashi

Research output: Chapter in Book/Report/Conference proceedingConference contribution

1 Citation (Scopus)

Abstract

In this paper, we propose an inductive construction of minimally rigid body-hinge simple graphs. Inductive construction is one of well-studied topics in Combinatorics and Combinatorial Optimization. We develop an inductive construction for minimally rigid body-hinge simple graphs in d-dimension with d ≥ 3 by which we can develop a polynomial-time algorithm for enumerating all minimally rigid body-hinge simple graphs.

Original languageEnglish
Title of host publicationCombinatorial Optimization and Applications - 7th International Conference, COCOA 2013, Proceedings
Pages165-177
Number of pages13
DOIs
Publication statusPublished - Dec 1 2013
Event7th International Conference on Combinatorial Optimization and Applications, COCOA 2013 - Chengdu, China
Duration: Dec 12 2013Dec 14 2013

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume8287 LNCS
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349

Other

Other7th International Conference on Combinatorial Optimization and Applications, COCOA 2013
CountryChina
CityChengdu
Period12/12/1312/14/13

Fingerprint

Hinges
Simple Graph
Rigid Body
Combinatorial optimization
Combinatorial Optimization
Combinatorics
Polynomial-time Algorithm
Polynomials

All Science Journal Classification (ASJC) codes

  • Theoretical Computer Science
  • Computer Science(all)

Cite this

Higashikawa, Y., Kamiyama, N., Katoh, N., & Kobayashi, Y. (2013). An inductive construction of minimally rigid body-hinge simple graphs. In Combinatorial Optimization and Applications - 7th International Conference, COCOA 2013, Proceedings (pp. 165-177). (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 8287 LNCS). https://doi.org/10.1007/978-3-319-03780-6_15

An inductive construction of minimally rigid body-hinge simple graphs. / Higashikawa, Yuya; Kamiyama, Naoyuki; Katoh, Naoki; Kobayashi, Yuki.

Combinatorial Optimization and Applications - 7th International Conference, COCOA 2013, Proceedings. 2013. p. 165-177 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 8287 LNCS).

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Higashikawa, Y, Kamiyama, N, Katoh, N & Kobayashi, Y 2013, An inductive construction of minimally rigid body-hinge simple graphs. in Combinatorial Optimization and Applications - 7th International Conference, COCOA 2013, Proceedings. Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), vol. 8287 LNCS, pp. 165-177, 7th International Conference on Combinatorial Optimization and Applications, COCOA 2013, Chengdu, China, 12/12/13. https://doi.org/10.1007/978-3-319-03780-6_15
Higashikawa Y, Kamiyama N, Katoh N, Kobayashi Y. An inductive construction of minimally rigid body-hinge simple graphs. In Combinatorial Optimization and Applications - 7th International Conference, COCOA 2013, Proceedings. 2013. p. 165-177. (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)). https://doi.org/10.1007/978-3-319-03780-6_15
Higashikawa, Yuya ; Kamiyama, Naoyuki ; Katoh, Naoki ; Kobayashi, Yuki. / An inductive construction of minimally rigid body-hinge simple graphs. Combinatorial Optimization and Applications - 7th International Conference, COCOA 2013, Proceedings. 2013. pp. 165-177 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)).
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