The number of circles of a maximum state of a plane graph with applications

X Jin, J Ge, XS Cheng, Y Lin - Acta Mathematicae Applicatae Sinica …, 2021 - Springer
Motivated by the connection with the genus of the corresponding link and its application on
DNA polyhedral links, in this paper, we introduce a parameter s max (G), which is the …

Vertex-colored graphs, bicycle spaces and Mahler measure

KR Lamey, DS Silver, SG Williams - Journal of Knot Theory and Its …, 2016 - World Scientific
The space 𝒞 of conservative vertex colorings (over a field 𝔽) of a countable, locally finite
graph G is introduced. When G is connected, the subspace 𝒞 0 of based colorings is shown …

[HTML][HTML] On plane graphs with link component number equal to the nullity

Y Lin, SD Noble, X Jin, W Cheng - Discrete Applied Mathematics, 2012 - Elsevier
In this paper, we study connected plane graphs with link component number equal to the
nullity and call them near-extremal graphs. We first study near-extremal graphs with …

Determining the component number of links corresponding to triangular and honeycomb lattices

L Jiang, X Jin, K Deng - Journal of Knot Theory and Its Ramifications, 2012 - World Scientific
There is a classical correspondence between edge-signed plane graphs and link diagrams.
Determining component number of links corresponding to plane graphs may be one of the …

On the component number of links from plane graphs

DS Silver, SG Williams - Journal of Knot Theory and Its …, 2015 - World Scientific
On the component number of links from plane graphs Page 1 Journal of Knot Theory and Its
Ramifications Vol. 24, No. 1 (2015) 1520002 (5 pages) c© World Scientific Publishing …

[PDF][PDF] Embedded graphs whose links have the largest possible number of components

S Huggett, I Tawfik - Ars Mathematica Contemporanea, 2015 - stephenhuggett.com
Embedded graphs whose links have the largest possible number of components Page 1 Also
available at http://amc-journal.eu ISSN 1855-3966 (printed edn.), ISSN 1855-3974 (electronic …

[引用][C] 交错三角格的链环分支数的几个结论

林跃峰 - 湖南师范大学自然科学学报, 2013

[引用][C] 几种曲面上的方格和三角格的左右路的计数(英文)

蒋乐萍, 金贤安 - 数学研究, 2011

[引用][C] 包含子图K_4 的无割点次极大图的唯一性

林跃峰 - 数学的实践与认识, 2013

[引用][C] 逆向交错三角格对应链环分支数的几个结论

林跃峰 - 衡水学院学报, 2012