Can I read Planar Stick Indices of Some Knotted Graphs on EtoBox?

Planar Stick Indices of Some Knotted Graphs by Khandhawit, Tirasan; Pongtanapaisan, Puttipong; Wasun, Athibadee is a scholarly article available to read on EtoBox.

What is Planar Stick Indices of Some Knotted Graphs about?

Two isomorphic graphs can have inequivalent spatial embeddings in 3-space. In this way, an isomorphism class of graphs contains many spatial graph types. A common way to measure the complexity of a spatial graph type is to count the minimum number of straight sticks needed for its construction in 3-space. In this paper, we give estimates of this quantity by enumerating stick diagrams in a plane. In particular, we compute the planar stick indices of knotted graphs with low crossing numbers. We also show that if a bouquet graph or a theta-curve has the property that its proper subgraphs are all trivial, then the planar stick index must be at least seven.

Author

Khandhawit, Tirasan; Pongtanapaisan, Puttipong; Wasun, Athibadee

Published

2023

Language

EN