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Resolving dominating partitions in graphs [PDF]

open access: yesDiscrete Applied Mathematics, 2019
A partition $Π=\{S_1,\ldots,S_k\}$ of the vertex set of a connected graph $G$ is called a \emph{resolving partition} of $G$ if for every pair of vertices $u$ and $v$, $d(u,S_j)\neq d(v,S_j)$, for some part $S_j$. The \emph{partition dimension} $β_p(G)$ is the minimum cardinality of a resolving partition of $G$. A resolving partition $Π$ is called \emph{
C Hernando   +2 more
exaly   +6 more sources
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Resolving the partition function’s paradox of the hydrogen atom

Physica A: Statistical Mechanics and Its Applications, 2019
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
A Plastino, M C Rocca, G L Ferri
exaly   +4 more sources

Further new results on strong resolving partitions for graphs [PDF]

open access: yesOpen Mathematics, 2020
Abstract A set W of vertices of a connected graph G strongly resolves two different vertices x, y ∉ W if either d G (x, W) = d G (x, y) + d G (y, W) or d
Dorota Kuziak, Ismael G Yero
exaly   +5 more sources

Equations resolving a conjecture of Rado on partition regularity

open access: yesJournal of Combinatorial Theory - Series A, 2010
2 pages, no figures.
Boris Alexeev, Jacob Tsimerman
exaly   +4 more sources

Starting and Resolving a Partitioned BRAIN

2008 11th IEEE International Symposium on Object and Component-Oriented Real-Time Distributed Computing (ISORC), 2008
Time-triggered communication is a favored design strategy for safety-critical systems. However, the startup of time-triggered systems is a significant concern, since the time-line from which fault-tolerance is supported must be established in segmented mediums, e.g. multi-hop networks.
Michael Paulitsch, Brendan Hall
openaire   +1 more source

Strong resolving partitions for strong product graphs and Cartesian product graphs

open access: yesDiscrete Applied Mathematics, 2016
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ismael G Yero
exaly   +3 more sources

On vector space partitions and uniformly resolvable designs

Designs, Codes and Cryptography, 2008
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Andrew Blinco   +5 more
openaire   +2 more sources

On some resolving partitions for the lexicographic product of two graphs

International Journal of Computer Mathematics, 2016
Given a connected graph , the distance between two vertices is the length of a shortest u−v path in G. The distance between a vertex and a subset is defined as . An ordered partition of vertices of G is a resolving partition of G, if for any two different vertices u,v of G there exists such that .
Nicolás Campanelli   +1 more
openaire   +1 more source

Binary-space-partitioned images for resolving image-based visibility

IEEE Transactions on Visualization and Computer Graphics, 2004
We propose a novel 2D representation for 3D visibility sorting, the Binary-Space-Partitioned Image (BSPI), to accelerate real-time image-based rendering. BSPI is an efficient 2D realization of a 3D BSP tree, which is commonly used in computer graphics for time-critical visibility sorting.
Chi-Wing Fu   +4 more
openaire   +3 more sources

On Partially Resolvable t–Partitions

1982
Publisher Summary This chapter discusses partially resolvable t -partitions. The chapter discusses primarily with the case |P|= 1, |S| = 1. The corresponding partially resolvable t -partitions are denoted by PRP t -( p, s, υ ; m ) provided P = { p }, S = { s }.
Charlotte Huang   +2 more
openaire   +1 more source

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