Some refined enumerations of hybrid binary trees (Record no. 21916)
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| fixed length control field | a | 
| 003 - CONTROL NUMBER IDENTIFIER | |
| control field | OSt | 
| 005 - DATE AND TIME OF LATEST TRANSACTION | |
| control field | 20241213110416.0 | 
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 241213b xxu||||| |||| 00| 0 eng d | 
| 040 ## - CATALOGING SOURCE | |
| Original cataloging agency | AIKTC-KRRC | 
| Transcribing agency | AIKTC-KRRC | 
| 100 ## - MAIN ENTRY--PERSONAL NAME | |
| 9 (RLIN) | 24795 | 
| Author | Yang, Lin | 
| 245 ## - TITLE STATEMENT | |
| Title | Some refined enumerations of hybrid binary trees | 
| 250 ## - EDITION STATEMENT | |
| Volume, Issue number | Vol.55(1), Mar | 
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. | |
| Place of publication, distribution, etc. | New Delhi | 
| Name of publisher, distributor, etc. | Springer | 
| Year | 2024 | 
| 300 ## - PHYSICAL DESCRIPTION | |
| Pagination | 94-104p. | 
| 520 ## - SUMMARY, ETC. | |
| Summary, etc. | A hybrid binary tree is a complete binary tree where each internal node is labeled with 1 or 2, but with no left (1, 1)-edges. In this paper, we consider enumeration of the set of hybrid binary trees according to the number of internal nodes and some other combinatorial parameters. We present enumerative results by giving Riordan arrays, bivariate generating functions, as well as closed formulas. As a consequence, we obtain some new combinatorial matrices, one of which is analogous to the Borel triangle. We also present a bijection between the set of all hybrid binary trees with n internal nodes and the set of generalized Schröder paths from (0, 0) to (2n, 0) which are consist of up steps , horizontal steps , down steps , and double up steps , and never travel below the x-axis. | 
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| 9 (RLIN) | 4642 | 
| Topical term or geographic name entry element | Humanities and Applied Sciences | 
| 700 ## - ADDED ENTRY--PERSONAL NAME | |
| 9 (RLIN) | 24796 | 
| Co-Author | Ren, Feng-Yun | 
| 773 0# - HOST ITEM ENTRY | |
| Place, publisher, and date of publication | New Delhi Indian National Science Academy | 
| Title | Indian journal of pure and applied mathematics | 
| International Standard Serial Number | 0019-5588 | 
| 856 ## - ELECTRONIC LOCATION AND ACCESS | |
| URL | https://link.springer.com/article/10.1007/s13226-022-00350-6 | 
| Link text | Click here | 
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) | |
| Source of classification or shelving scheme | Dewey Decimal Classification | 
| Koha item type | Articles Abstract Database | 
| Withdrawn status | Lost status | Source of classification or shelving scheme | Damaged status | Not for loan | Home library | Current library | Shelving location | Date acquired | Total Checkouts | Barcode | Date last seen | Price effective from | Koha item type | 
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Dewey Decimal Classification | School of Engineering & Technology | School of Engineering & Technology | Archieval Section | 13/12/2024 | 2024-1552 | 13/12/2024 | 13/12/2024 | Articles Abstract Database | 
