Some refined enumerations of hybrid binary trees (Record no. 21916)

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control field OSt
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control field 20241213110416.0
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fixed length control field 241213b xxu||||| |||| 00| 0 eng d
040 ## - CATALOGING SOURCE
Original cataloging agency AIKTC-KRRC
Transcribing agency AIKTC-KRRC
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9 (RLIN) 24795
Author Yang, Lin
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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
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    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
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