Counting contours on trees

Noga Alon; Rodrigo Bissacot; Eric Ossami Endo

doi:10.1007/s11005-016-0927-6

Counting contours on trees

Noga Alon, Rodrigo Bissacot, Eric Ossami Endo

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

Abstract

We calculate the exact number of contours of size n containing a fixed vertex in d-ary trees and provide sharp estimates for this number for more general trees. We also obtain a characterization of the locally finite trees with infinitely many contours of the same size containing a fixed vertex.

Original language	English (US)
Pages (from-to)	887-899
Number of pages	13
Journal	Letters in Mathematical Physics
Volume	107
Issue number	5
DOIs	https://doi.org/10.1007/s11005-016-0927-6
State	Published - May 1 2017
Externally published	Yes

All Science Journal Classification (ASJC) codes

Statistical and Nonlinear Physics
Mathematical Physics

Keywords

Catalan numbers
Contours
Cut Sets
Peierls
Trees

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10.1007/s11005-016-0927-6

Cite this

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title = "Counting contours on trees",

abstract = "We calculate the exact number of contours of size n containing a fixed vertex in d-ary trees and provide sharp estimates for this number for more general trees. We also obtain a characterization of the locally finite trees with infinitely many contours of the same size containing a fixed vertex.",

keywords = "Catalan numbers, Contours, Cut Sets, Peierls, Trees",

author = "Noga Alon and Rodrigo Bissacot and Endo, {Eric Ossami}",

note = "Publisher Copyright: {\textcopyright} 2016, Springer Science+Business Media Dordrecht.",

year = "2017",

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doi = "10.1007/s11005-016-0927-6",

language = "English (US)",

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T1 - Counting contours on trees

AU - Alon, Noga

AU - Bissacot, Rodrigo

AU - Endo, Eric Ossami

PY - 2017/5/1

Y1 - 2017/5/1

N2 - We calculate the exact number of contours of size n containing a fixed vertex in d-ary trees and provide sharp estimates for this number for more general trees. We also obtain a characterization of the locally finite trees with infinitely many contours of the same size containing a fixed vertex.

AB - We calculate the exact number of contours of size n containing a fixed vertex in d-ary trees and provide sharp estimates for this number for more general trees. We also obtain a characterization of the locally finite trees with infinitely many contours of the same size containing a fixed vertex.

KW - Catalan numbers

KW - Contours

KW - Cut Sets

KW - Peierls

KW - Trees

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U2 - 10.1007/s11005-016-0927-6

DO - 10.1007/s11005-016-0927-6

M3 - Article

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SP - 887

EP - 899

JO - Letters in Mathematical Physics

JF - Letters in Mathematical Physics

IS - 5

ER -

Counting contours on trees

Abstract

All Science Journal Classification (ASJC) codes

Keywords

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