Lattice Path Combinatorics and Special Counting Sequences: From an Enumerative Perspective

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Chunwei Song

Lattice Path Combinatorics and Special Counting Sequences

From an Enumerative Perspective

Chunwei Song

$126

Hardback

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English

CRC Press
17 September 2024

Discrete mathematics; Algebra; Combinatorics & graph theory

This book endeavors to deepen our understanding of lattice path combinatorics, explore key types of special sequences, elucidate their interconnections, and concurrently champion the author's interpretation of the “combinatorial spirit”.

The author intends to give an up-to-date introduction to the theory of lattice path combinatorics, its relation to those special counting sequences important in modern combinatorial studies, such as the Catalan, Schröder, Motzkin, Delannoy numbers, and their generalized versions. Brief discussions of applications of lattice path combinatorics to symmetric functions and connections to the theory of tableaux are also included. Meanwhile, the author also presents an interpretation of the ""combinatorial spirit"" (i.e., ""counting without counting"", bijective proofs, and understanding combinatorics from combinatorial structures internally, and more), hoping to shape the development of contemporary combinatorics.

Lattice Path Combinatorics and Special Counting Sequences: From an Enumerative Perspective will appeal to graduate students and advanced undergraduates studying combinatorics, discrete mathematics, or computer science.

By: Chunwei Song
Imprint: CRC Press
Country of Publication: United Kingdom
Dimensions: Height: 254mm, Width: 178mm,
Weight: 381g
ISBN: 9781032671758
ISBN 10: 1032671750
Pages: 105
Publication Date: 17 September 2024
Audience: College/higher education , Professional and scholarly , Primary , Undergraduate
Format: Hardback
Publisher's Status: Active

Chunwei Song, a combinatorialist and graph theorist, is a professor of mathematics at Peking University. He received his PhD from the University of Pennsylvania in 2004. He also held faculty positions at Boston College, MA and the Tokyo Institute of Technology, Japan. In 2010, he was a visiting associate professor at the University of Delaware. At Peking University, six students have received PhD degrees under his supervision, specializing in the fields of lattice path combinatorics, extremal combinatorics, or mathematical philosophy.