Exponential growth constants for spanning forests on Archimedean lattices: Values and comparisons of upper bounds

S. C. Chang; Robert Shrock

doi:10.1142/S0217979221500855

Exponential growth constants for spanning forests on Archimedean lattices: Values and comparisons of upper bounds

S. C. Chang
, Robert Shrock

Institute for Theoretical Physics

National Cheng Kung University

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

1 Scopus citations

Abstract

We compare our upper bounds on the exponential growth constant characterizing the asymptotic behavior of spanning forests on Archimedean lattices with recently derived upper bounds.Our upper bounds on, which are very close to the respective values of that we have calculated, are shown to be significantly better for these lattices than the new upper bounds.

Original language	English
Article number	2150085
Journal	International Journal of Modern Physics B
Volume	35
Issue number	6
DOIs	https://doi.org/10.1142/S0217979221500855
State	Published - Mar 10 2021

Keywords

classical statistical mechanics
Combinatorics and graph theory
general statistical methods

Access to Document

10.1142/S0217979221500855

Cite this

@article{df082b21fbc84c2f8f8ed403b898bc39,

title = "Exponential growth constants for spanning forests on Archimedean lattices: Values and comparisons of upper bounds",

abstract = "We compare our upper bounds on the exponential growth constant characterizing the asymptotic behavior of spanning forests on Archimedean lattices with recently derived upper bounds.Our upper bounds on, which are very close to the respective values of that we have calculated, are shown to be significantly better for these lattices than the new upper bounds.",

keywords = "classical statistical mechanics, Combinatorics and graph theory, general statistical methods",

author = "Chang, \{S. C.\} and Robert Shrock",

note = "Publisher Copyright: {\textcopyright} 2021 World Scientific Publishing Company.",

year = "2021",

month = mar,

day = "10",

doi = "10.1142/S0217979221500855",

language = "English",

volume = "35",

journal = "International Journal of Modern Physics B",

issn = "0217-9792",

number = "6",

}

TY - JOUR

T1 - Exponential growth constants for spanning forests on Archimedean lattices

T2 - Values and comparisons of upper bounds

AU - Chang, S. C.

AU - Shrock, Robert

PY - 2021/3/10

Y1 - 2021/3/10

N2 - We compare our upper bounds on the exponential growth constant characterizing the asymptotic behavior of spanning forests on Archimedean lattices with recently derived upper bounds.Our upper bounds on, which are very close to the respective values of that we have calculated, are shown to be significantly better for these lattices than the new upper bounds.

AB - We compare our upper bounds on the exponential growth constant characterizing the asymptotic behavior of spanning forests on Archimedean lattices with recently derived upper bounds.Our upper bounds on, which are very close to the respective values of that we have calculated, are shown to be significantly better for these lattices than the new upper bounds.

KW - classical statistical mechanics

KW - Combinatorics and graph theory

KW - general statistical methods

UR - https://www.scopus.com/pages/publications/85101830437

U2 - 10.1142/S0217979221500855

DO - 10.1142/S0217979221500855

M3 - Article

AN - SCOPUS:85101830437

SN - 0217-9792

VL - 35

JO - International Journal of Modern Physics B

JF - International Journal of Modern Physics B

IS - 6

M1 - 2150085

ER -

Exponential growth constants for spanning forests on Archimedean lattices: Values and comparisons of upper bounds

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this