Enumeration of 1-slab lattice links

Seungsang Oh

doi:10.1016/j.topol.2019.06.011

Enumeration of 1-slab lattice links

Seungsang Oh

Department of Mathematics

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

Abstract

Lattice knot statistics which is the study of knotted polygons in the simple cubic lattice have been deeply studied. In this paper, we discuss the enumeration of lattice links and fully-packed lattice links confined to slabs of width 1, as a model for multi-component ring polymers in physics. Moreover, the generating functions for such 1-slab lattice links with respect to the total length and the number of sticks are determined. We also analyze the asymptotic behavior of the growth rates of their cardinality.

Original language	English
Pages (from-to)	158-166
Number of pages	9
Journal	Topology and its Applications
Volume	264
DOIs	https://doi.org/10.1016/j.topol.2019.06.011
Publication status	Published - 2019 Sept 1

Bibliographical note

Funding Information:
The author was supported by the National Research Foundation of Korea (NRF) grant funded by the Korea government (MSIP) (No. NRF-2017R1A2B2007216).

Publisher Copyright:
© 2019 Elsevier B.V.

Keywords

Lattice enumeration
Lattice knot
Lattice link

ASJC Scopus subject areas

Geometry and Topology

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10.1016/j.topol.2019.06.011

Cite this

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abstract = "Lattice knot statistics which is the study of knotted polygons in the simple cubic lattice have been deeply studied. In this paper, we discuss the enumeration of lattice links and fully-packed lattice links confined to slabs of width 1, as a model for multi-component ring polymers in physics. Moreover, the generating functions for such 1-slab lattice links with respect to the total length and the number of sticks are determined. We also analyze the asymptotic behavior of the growth rates of their cardinality.",

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author = "Seungsang Oh",

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N1 - Funding Information: The author was supported by the National Research Foundation of Korea (NRF) grant funded by the Korea government (MSIP) (No. NRF-2017R1A2B2007216). Publisher Copyright: © 2019 Elsevier B.V.

PY - 2019/9/1

Y1 - 2019/9/1

N2 - Lattice knot statistics which is the study of knotted polygons in the simple cubic lattice have been deeply studied. In this paper, we discuss the enumeration of lattice links and fully-packed lattice links confined to slabs of width 1, as a model for multi-component ring polymers in physics. Moreover, the generating functions for such 1-slab lattice links with respect to the total length and the number of sticks are determined. We also analyze the asymptotic behavior of the growth rates of their cardinality.

AB - Lattice knot statistics which is the study of knotted polygons in the simple cubic lattice have been deeply studied. In this paper, we discuss the enumeration of lattice links and fully-packed lattice links confined to slabs of width 1, as a model for multi-component ring polymers in physics. Moreover, the generating functions for such 1-slab lattice links with respect to the total length and the number of sticks are determined. We also analyze the asymptotic behavior of the growth rates of their cardinality.

KW - Lattice enumeration

KW - Lattice knot

KW - Lattice link

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DO - 10.1016/j.topol.2019.06.011

M3 - Article

AN - SCOPUS:85067839918

SN - 0166-8641

VL - 264

SP - 158

EP - 166

JO - Topology and its Applications

JF - Topology and its Applications

ER -

Enumeration of 1-slab lattice links

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

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