𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Diagonal Transformations of Graphs and Dehn Twists of Surfaces

✍ Scribed by Atsuhiro Nakamoto; Katsuhiro Ota


Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
231 KB
Volume
70
Category
Article
ISSN
0095-8956

No coin nor oath required. For personal study only.


πŸ“œ SIMILAR VOLUMES


Diagonal transformations in quadrangulat
✍ Nakamoto, Atsuhiro πŸ“‚ Article πŸ“… 1996 πŸ› John Wiley and Sons 🌐 English βš– 546 KB

In this paper, it will be shown that any two bipartite quadrangulations of any closed surface are transformed into each other by two kinds of transformations, called the diagonal slide and the diagonal rotation, up to homeomorphism, if they have the same and sufficiently large number of vertices.

Diagonal Transformations and Cycle Parit
✍ Atsuhiro Nakamoto πŸ“‚ Article πŸ“… 1996 πŸ› Elsevier Science 🌐 English βš– 255 KB

In this paper, we shall show that any two quadrangulations on any closed surface can be transformed into each other by diagonal slides and diagonal rotations if they have the same and sufficiently large number of vertices and if the homological properties of both quadrangulations coincide.

2- and 3-factors of graphs on surfaces
✍ Ken-Ichi Kawarabayashi; Kenta Ozeki πŸ“‚ Article πŸ“… 2010 πŸ› John Wiley and Sons 🌐 English βš– 94 KB πŸ‘ 1 views

It has been conjectured that any 5-connected graph embedded in a surface with sufficiently large face-width is hamiltonian. This conjecture was verified by Yu for the triangulation case, but it is still open in general. The conjecture is not true for 4-connected graphs. In this article, we shall stu

Twist–Rotation Transformations of Binary
✍ Ming Li; Louxin Zhang πŸ“‚ Article πŸ“… 1999 πŸ› Elsevier Science 🌐 English βš– 101 KB

The paper studies the computational complexity and efficient algorithms for the twist᎐rotation transformations of binary trees, which is equivalent to the transformation of arithmetic expressions over an associative and commutative binary Ž . operation. The main results are 1 a full binary tree with

The number of defective colorings of gra
✍ Tom Rackham πŸ“‚ Article πŸ“… 2010 πŸ› John Wiley and Sons 🌐 English βš– 99 KB πŸ‘ 1 views

A (k, 1)-coloring of a graph is a vertex-coloring with k colors such that each vertex is permitted at most 1 neighbor of the same color. We show that every planar graph has at least c n distinct (4, 1)-colorings, where c is constant and β‰ˆ 1.466 satisfies 3 = 2 +1. On the other hand for any >0, we gi

A note on defective colorings of graphs
✍ Dan Archdeacon πŸ“‚ Article πŸ“… 1987 πŸ› John Wiley and Sons 🌐 English βš– 139 KB πŸ‘ 2 views

A graph is (rn, k)-colorable if its vertices can be colored with rn colors in such a way that each vertex is adjacent to at most k vertices of the same color as itself. In a recent paper Cowen. Cowen, and Woodall proved that, for each compact surface S, there exists an integer k = k(S) such that eve