Results 61 to 70 of about 8,142 (196)
For applied scientists and engineers, graph theory is a strong and vital tool for evaluating and inventing solutions for a variety of issues. Graph theory is extremely important in complex systems, particularly in computer science.
A. El-Mesady, Omar Bazighifan
doaj +1 more source
Zero Forcing Sets and Bipartite Circulants [PDF]
In this paper we introduce a class of regular bipartite graphs whose biadjacency matrices are circulant matrices and we describe some of their properties.
Meyer, Seth A.
core
Procedural Multiscale Geometry Modeling using Implicit Surfaces
Abstract Materials exhibit geometric structures across mesoscopic to microscopic scales, influencing macroscale properties such as appearance, mechanical strength, and thermal behavior. Capturing and modeling these multiscale structures is challenging but essential for computer graphics, engineering, and materials science.
Bojja Venu +2 more
wiley +1 more source
On Edge Transitive Circulant Graphs
This paper classifies those circulant graphs for which both the graph and its complement are edge-transitive. The author shows that such a graph must be either a disjoint union of copies of a complete graph, or the complement of such a disjoint union, or a Paley graph on a prime number of vertices.
openaire +3 more sources
The Directed Oberwolfach Problem With Variable Cycle Lengths: A Recursive Construction
ABSTRACT The directed Oberwolfach problem OP * ( m 1 , … , m k ) asks whether the complete symmetric digraph K n *, assuming n = m 1 + ⋯ + m k, admits a decomposition into spanning subdigraphs, each a disjoint union of k directed cycles of lengths m 1 , … , m k.
Suzan Kadri, Mateja Šajna
wiley +1 more source
A Class of Koszul Algebra and Some Homological Invariants through Circulant Matrices and Cycles
Recent advances in graph theory, linear algebra, and commutative algebra render us to tackle problems in one bough of mathematics with assistance and guidance from others.
Muhammed Nadeem +5 more
doaj +1 more source
Putatively Optimal Projective Spherical Designs With Little Apparent Symmetry
ABSTRACT We give some new explicit examples of putatively optimal projective spherical designs, that is, ones for which there is numerical evidence that they are of minimal size. These form continuous families, and so have little apparent symmetry in general, which requires the introduction of new techniques for their construction.
Alex Elzenaar, Shayne Waldron
wiley +1 more source
Perfect state transfer, graph products and equitable partitions [PDF]
We describe new constructions of graphs which exhibit perfect state transfer on continuous-time quantum walks. Our constructions are based on variants of the double cones [BCMS09,ANOPRT10,ANOPRT09] and the Cartesian graph products (which includes the n ...
Ge, Yang +3 more
core
ABSTRACT Objective Placental dysfunction can result in small‐for‐gestational age (SGA) or fetal growth restriction (FGR). The aim of this prospective cohort study was to assess the association of the cerebroplacental ratio (CPR) and other more conventional fetoplacental Doppler indices, circulating placental growth factor (PlGF) levels and soluble fms ...
J. Hong +6 more
wiley +1 more source

