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OTAKE Toshitsugu
Department Ritsumeikan Asia Pacific University College of International Management Position Professor |
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| Language | English |
| Publication Date | 1996/08 |
| Type | Research paper |
| Peer Review | Peer reviewed |
| Title | On a Seating Rearrangement Problem |
| Contribution Type | First author |
| Journal | Mathematics and Informatics Quarterly |
| Journal Type | Another Country |
| Volume, Issue, Page | 6,pp.63-71 |
| Author and coauthor | Robert E. Kennedy and Curtis Cooper |
| Details | This paper studies a combinatorial problem involving the rearrangement of people seated in a fixed configuration under specified movement restrictions.
The paper formulates the seating problem mathematically and examines how many feasible rearrangements are possible. It develops counting methods based on combinatorial structures and recurrence relationships, with connections to Fibonacci-type sequences. The analysis illustrates how a seemingly simple seating puzzle can be generalized into a broader class of restricted permutation and enumeration problems. Overall, the study provides a mathematical framework for systematically analyzing constrained rearrangement problems. |