2020
DOI: 10.1504/ijcse.2020.109398
|View full text |Cite
|
Sign up to set email alerts
|

Advances in the enumeration of foldable self-avoiding walks

Help me understand this report

Search citation statements

Order By: Relevance

Paper Sections

Select...
2

Citation Types

0
2
0

Year Published

2023
2023
2023
2023

Publication Types

Select...
1
1

Relationship

0
2

Authors

Journals

citations
Cited by 2 publications
(2 citation statements)
references
References 0 publications
0
2
0
Order By: Relevance
“…Over the years, significant advances have been made in the algorithms Crystals 2023, 13, 1316 2 of 16 related to SAW identification and enumeration, further evolving its usage in diverse problems, especially ones related to synthetic and biological macromolecules. The excluded volume effect in polymer melts and solutions is, in fact, intimately related to the condition of self-avoidance in random walks [13][14][15][16][17][18][19][20][21][22][23][24][25][26][27][28][29].…”
Section: Introductionmentioning
confidence: 99%
See 1 more Smart Citation
“…Over the years, significant advances have been made in the algorithms Crystals 2023, 13, 1316 2 of 16 related to SAW identification and enumeration, further evolving its usage in diverse problems, especially ones related to synthetic and biological macromolecules. The excluded volume effect in polymer melts and solutions is, in fact, intimately related to the condition of self-avoidance in random walks [13][14][15][16][17][18][19][20][21][22][23][24][25][26][27][28][29].…”
Section: Introductionmentioning
confidence: 99%
“…Self-avoiding random walks (SAWs) and polygons (SAPs) have been studied extensively on 2D and 3D lattices [30] with specific examples being the honeycomb [31][32][33][34], square [35,36], triangular [37], simple cubic [35,[38][39][40], body centered cubic (BCC) [41], and face centered cubic (FCC) [41,42] lattices. Due to their importance and general applicability, significant algorithmic and theoretical advances have been made in the enumeration, characterization, identification, and scaling behavior of SAWs, SAPs, and their variants [19,20,33,[43][44][45][46][47][48][49][50][51][52][53][54][55][56][57][58][59][60][61][62]. It is interesting to notice that while the simple cubic (SC), BCC, and FCC crystals have been extensively studied in the literature, no such wealth of information exists for the hexagonal close-packed (HCP) one.…”
Section: Introductionmentioning
confidence: 99%