Results 21 to 30 of about 293,400 (267)

Star compressed zero divisors graph and partitions of vector spaces [PDF]

open access: yesریاضی و جامعه, 2023
Let $R$ be a commutaive ring and $Zd(R)$ be the set of zero divisors of $R$. Define an equivalence relation $\sim$ on $Zd(R)$ as follows: $x\sim y$ if and only if $ann(x)=ann(y)$.
Hamid Reza Dorbidi
doaj   +1 more source

Parallel Graph Partitioning for Complex Networks [PDF]

open access: yes, 2015
Processing large complex networks like social networks or web graphs has recently attracted considerable interest. In order to do this in parallel, we need to partition them into pieces of about equal size.
Meyerhenke, Henning   +2 more
core   +1 more source

Partition Dimension of Generalized Petersen Graph

open access: yesComplexity, 2021
Let G=VG,EG be the connected graph. For any vertex i∈VG and a subset B⊆VG, the distance between i and B is di;B=mindi,j|j∈B. The ordered k-partition of VG is Π=B1,B2,…,Bk. The representation of vertex i with respect to Π is the k-vector, that is, ri|Π=di,
Hassan Raza   +3 more
doaj   +1 more source

On the exact learnability of graph parameters: The case of partition functions [PDF]

open access: yes, 2016
We study the exact learnability of real valued graph parameters $f$ which are known to be representable as partition functions which count the number of weighted homomorphisms into a graph $H$ with vertex weights $\alpha$ and edge weights $\beta$.
Labai, Nadia, Makowsky, Johann A.
core   +2 more sources

On bounded partition dimension of different families of convex polytopes with pendant edges

open access: yesAIMS Mathematics, 2022
Let $ \psi = (V, E) $ be a simple connected graph. The distance between $ \rho_1, \rho_2\in V(\psi) $ is the length of a shortest path between $ \rho_1 $ and $ \rho_2.
Adnan Khali   +2 more
doaj   +1 more source

The Foliage Partition: An Easy-to-Compute LC-Invariant for Graph States [PDF]

open access: yesQuantum
This paper introduces the foliage partition, an easy-to-compute LC-invariant for graph states, of computational complexity $\mathcal{O}(n^3)$ in the number of qubits.
Adam Burchardt, Frederik Hahn
doaj   +1 more source

Dimensi Partisi pada Graf Hasil Operasi Korona Tingkat-k

open access: yesContemporary Mathematics and Applications (ConMathA)
Graph theory is one of the subjects in Discrete Mathematics that have long been known and are widely applied in various fields. The topics that are often discussed in graph theory include labeling, coloring, chromatic numbers, metric dimensions, and ...
Rica Amalia   +4 more
doaj   +1 more source

THE PARTITION DIMENSION OF CYCLE BOOKS GRAPH B_(m,n) WITH A COMMON PATH P_2

open access: yesBarekeng
Suppose  is a connected graph with  elements of a set of vertices  denoted by  and  a subset of . The distance between  and  is the shortest distance  to every vertex  in . Let  be a partition of , where each subset  belongs to .
Jaya Santoso, Darmaji Darmaji
doaj   +1 more source

Streaming Graph Challenge: Stochastic Block Partition

open access: yes, 2017
An important objective for analyzing real-world graphs is to achieve scalable performance on large, streaming graphs. A challenging and relevant example is the graph partition problem.
Gadepally, Vijay   +11 more
core   +1 more source

A graph partition problem [PDF]

open access: yes, 2014
Given a graph $G$ on $n$ vertices, for which $m$ is it possible to partition the edge set of the $m$-fold complete graph $mK_n$ into copies of $G$? We show that there is an integer $m_0$, which we call the \emph{partition modulus of $G$}, such that the ...
Cameron, Peter J., Cioabă, Sebastian M.
core   +2 more sources

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