Results 61 to 70 of about 410 (178)
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Jason I. Brown, Richard Hoshino
openaire +2 more sources
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 cyclic orthogonal double covers of circulant graphs by special infinite graphs
In this article, a technique to construct cyclic orthogonal double covers (CODCs) of regular circulant graphs by certain infinite graph classes such as complete bipartite and tripartite graphs and disjoint union of butterfly and is introduced.
R. El-Shanawany, A. El-Mesady
doaj +1 more source
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
Circulant Digraphs with Larger Linear Guessing Number and Smaller Degree
The guessing number of a digraph is a new invariant in graph theory raised by S. Riis in 2006 and based on its applications in network coding and boolean circuit complexity theory. In this paper, we present the lower and upper bounds on a guessing number
Aixian Zhang, Keqin Feng
doaj +1 more source
A Formula for the Energy of Circulant Graphs with Two Generators
We derive closed formulas for the energy of circulant graphs generated by 1 and γ, where γ⩾2 is an integer. We also find a formula for the energy of the complete graph without a Hamilton cycle.
Justine Louis
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
Minimum Feedback Vertex Sets in Distance Graphs and Circulant Graphs
For a set D⊂ Z n, the distance graph P n (D) has Z n as its vertex set and the edges are between vertices i and j with |i-j|∈D. The circulant graph C n (D) is defined analogously by considering operations modulo n.
Hamamache Kheddouci, Olivier Togni
doaj
The Fibonacci numbers of certain subgraphs of circulant graphs
The Fibonacci number ℱ(G) of a graph G with vertex set V(G), is the total number of independent vertex sets S⊂V(G); recall that a set S⊂V(G) is said to be independent whenever for every two different vertices u,v∈S there is no edge between them.
Loiret Alejandría Dosal-Trujillo +1 more
doaj +1 more source

