Results 41 to 50 of about 2,669,595 (286)
The Cartesian product of graphs with loops
We extend the definition of the Cartesian product to graphs with loops and show that the Sabidussi-Vizing unique factorization theorem for connected finite simple graphs still holds in this context for all connected finite graphs with at least one unlooped vertex. We also prove that this factorization can be computed in O(m) time, where m is the number
Tetiana Boiko +4 more
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Linearisation of frequency-hopped transmitters using Cartesian feedback [PDF]
This paper investigates the potential of the Cartesian feedback technique in linearising frequency-hopped (FH) transmitters for use in third generation mobile communication systems.
Boloorian, M, McGeehan, JP
core +1 more source
Edge-Transitive Lexicographic and Cartesian Products
In this note connected, edge-transitive lexicographic and Cartesian products are characterized. For the lexicographic product G ◦ H of a connected graph G that is not complete by a graph H, we show that it is edge-transitive if and only if G is edge ...
Imrich Wilfried +3 more
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New Results on the Aggregation of Norms
It is a natural question if a Cartesian product of objects produces an object of the same type. For example, it is well known that a countable Cartesian product of metrizable topological spaces is metrizable.
Tatiana Pedraza +1 more
doaj +1 more source
The generalized 3-connectivity of Cartesian product graphs [PDF]
Graph ...
Hengzhe Li, Xueliang Li, Yuefang Sun
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Factorization of Cartesian Products of Hypergraphs [PDF]
In this article we present the L2-section, a tool used to represent a hypergraph in terms of an "advanced graph" and results leading to first algorithm, in O(nm), for a bounded-rank, bounded-degree hypergraph H, which factorizes H in prime factors. The paper puts a premium on the characterization of the prime factors of a hypergraph, by exploiting ...
Alain Bretto, Yannick Silvestre
openaire +3 more sources
A novel framework for the Cartesian product of clique simplicial complexes and its applications
This article develops a theoretical framework for the Cartesian product of simplicial complexes, with a focus on clique complexes due to their increasing importance in applications such as social network analysis, biological network modelling, data ...
Kausar Perveen +3 more
doaj +1 more source
Loosely Bernoulli Cartesian products [PDF]
For any totally ergodic loosely Bernoulli automorphism T , a class S (
openaire +1 more source
Generalized 3-edge-connectivity of Cartesian product graphs [PDF]
summary:The generalized $k$-connectivity $\kappa _{k}(G)$ of a graph $G$ was introduced by Chartrand et al. in 1984. As a natural counterpart of this concept, Li et al.
Sun, Yuefang
core +1 more source
Completeness and Cartesian Product in Neutrosophic Rectangular n-Normed Spaces
This study introduces the new concept of neutrosophic rectangular $n$-normed spaces, along with essential foundational definitions. It then explores the Cartesian product of such spaces and examines how this operation influences their structural ...
Mukhtar Ahmad, Mohammad Mursaleen
doaj +1 more source

