Two Special Types of Parking Functions Related to Catalan Number and Fine Number
| Autor: | Jui-HsiangChen, 陳瑞祥 |
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| Rok vydání: | 2019 |
| Druh dokumentu: | 學位論文 ; thesis |
| Popis: | 107 We introduce two special types of parking function, V-parking function and Lambda-parking function, which are inspired by the unimodal sequence. Then, we prove the suprising facts that the number of V-parking functions are Catalan numbers and the number of Lambda-parking functions are Fine numbers. (In appendix A, we verify that the diagonal sums of Catalan triangle are Fine numbers by giving bijections.) |
| Databáze: | Networked Digital Library of Theses & Dissertations |
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