Results 41 to 50 of about 40,667 (118)

Power domination on triangular grids

open access: yes, 2017
The concept of power domination emerged from the problem of monitoring electrical systems. Given a graph G and a set S $\subseteq$ V (G), a set M of monitored vertices is built as follows: at first, M contains only the vertices of S and their direct ...
Bose, Prosenjit   +2 more
core  

Graph multicoloring reduction methods and application to McDiarmid-Reed's Conjecture

open access: yes, 2020
A $(a,b)$-coloring of a graph $G$ associates to each vertex a set of $b$ colors from a set of $a$ colors in such a way that the color-sets of adjacent vertices are disjoints.
Godin, Jean-Christophe, Togni, Olivier
core  

Trees and Matchings

open access: yes, 1999
In this article, Temperley's bijection between spanning trees of the square grid on the one hand, and perfect matchings (also known as dimer coverings) of the square grid on the other, is extended to the setting of general planar directed (and undirected)
Kenyon, Richard W.   +2 more
core   +2 more sources

Sampling Colourings of the Triangular Lattice [PDF]

open access: yes, 2010
We show that the Glauber dynamics on proper 9-colourings of the triangular lattice is rapidly mixing, which allows for efficient sampling. Consequently, there is a fully polynomial randomised approximation scheme (FPRAS) for counting proper 9-colourings ...
Jalsenius, Markus
core  

Sandpiles and Dominos [PDF]

open access: yes, 2014
We consider the subgroup of the abelian sandpile group of the grid graph consisting of configurations of sand that are symmetric with respect to central vertical and horizontal axes. We show that the size of this group is (i) the number of domino tilings
Florescu, Laura   +4 more
core  

Singularity classification as a design tool for multiblock grids [PDF]

open access: yes
A major stumbling block in interactive design of 3-D multiblock grids is the difficulty of visualizing the design as a whole. One way to make this visualization task easier is to focus, at least in early design stages, on an aspect of the grid which is ...
Jones, Alan K.
core   +1 more source

The total H-irregularity strength of triangular ladder and grid graphs

open access: yesJournal of Physics: Conference Series, 2019
R Nisviasari, null Dafik, I H Agustin
openaire   +1 more source

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