Perfect Clar structures and 3-homogeneous simplicial complexes (Q1862050)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: Perfect Clar structures and 3-homogeneous simplicial complexes |
scientific article; zbMATH DE number 1879091
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Perfect Clar structures and 3-homogeneous simplicial complexes |
scientific article; zbMATH DE number 1879091 |
Statements
Perfect Clar structures and 3-homogeneous simplicial complexes (English)
0 references
10 March 2003
0 references
A subset \(X\) of the top dimensional faces of a simplicial complex \(P\) is called a Clar set (the name comes from theoretical Chemistry) if each vertex of \(P\) belongs to exactly one face from \(X\). This paper explores the existence of Clar sets on closed compact surfaces. The relationship between Clar sets and colorability is explored.
0 references
Clar structures
0 references
two step homology
0 references
simplicial complexes
0 references
3-colorability
0 references
