Displaying similar documents to “Colorings of Plane Patterns Defined by Sequences and Arrays, Inspired by Weaving Designs”

Bicoloring Steiner triple systems.

Colbourn, Charles J., Dinitz, Jeffrey H., Rosa, Alexander (1999)

The Electronic Journal of Combinatorics [electronic only]

Similarity:

Rainbow Ramsey theory.

Jungić, Veselin, Nešetřil, Jaroslav, Radoičić, Radoš (2005)

Integers

Similarity:

The Incidence Chromatic Number of Toroidal Grids

Éric Sopena, Jiaojiao Wu (2013)

Discussiones Mathematicae Graph Theory

Similarity:

An incidence in a graph G is a pair (v, e) with v ∈ V (G) and e ∈ E(G), such that v and e are incident. Two incidences (v, e) and (w, f) are adjacent if v = w, or e = f, or the edge vw equals e or f. The incidence chromatic number of G is the smallest k for which there exists a mapping from the set of incidences of G to a set of k colors that assigns distinct colors to adjacent incidences. In this paper, we prove that the incidence chromatic number of the toroidal grid Tm,n = Cm2Cn equals...

Coloring rectangular blocks in 3-space

Colton Magnant, Daniel M. Martin (2011)

Discussiones Mathematicae Graph Theory

Similarity:

If rooms in an office building are allowed to be any rectangular solid, how many colors does it take to paint any configuration of rooms so that no two rooms sharing a wall or ceiling/floor get the same color? In this work, we provide a new construction which shows this number can be arbitrarily large.