Results 71 to 80 of about 990 (211)

Decompositions of complete graphs into circulants

open access: yesDiscrete Mathematics, 2016
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Mariusz Meszka   +3 more
openaire   +1 more source

The metric dimension of circulant graphs and their Cartesian products [PDF]

open access: yesOpuscula Mathematica, 2017
Let \(G=(V,E)\) be a connected graph (or hypergraph) and let \(d(x,y)\) denote the distance between vertices \(x,y\in V(G)\). A subset \(W\subseteq V(G)\) is called a resolving set for \(G\) if for every pair of distinct vertices \(x,y\in V(G)\), there ...
Kevin Chau, Shonda Gosselin
doaj   +1 more source

Enumeration of E ( s 2 )‐Optimal and Minimax‐Optimal Supersaturated Designs With 12 Rows, 11 q Columns and s max = 4

open access: yesJournal of Combinatorial Designs, Volume 33, Issue 10, Page 379-387, October 2025.
ABSTRACT The E ( s 2 )‐optimal and minimax‐optimal supersaturated designs (SSDs) with 12 rows, 11 q columns, and s max = 4 are enumerated in a computer search: there are, respectively, 34, 146, 0, 3, and 1 such designs for q = 2 , 3 , 4 , 5, and 6. Cheng and Tang proved that for q > 6, there are no such SSDs.
Luis B. Morales
wiley   +1 more source

Decompositions of Circulant-Balanced Complete Multipartite Graphs Based on a Novel Labelling Approach

open access: yesJournal of Function Spaces, 2022
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

Circulant covers of trivalent circulants

open access: yes, 2007
Given two graphs G1 and G2, one may ask whether or not G2 is a cover of G1. Feng and Kwak [Typical circulant double coverings of a circulant graph, Discrete Math.
Couperus, Peter
core   +1 more source

Procedural Multiscale Geometry Modeling using Implicit Surfaces

open access: yesComputer Graphics Forum, Volume 44, Issue 7, October 2025.
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

The Pfaffian property of circulant graphs

open access: yesDiscrete Applied Mathematics, 2015
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Fuliang Lu, Lianzhu Zhang, Yan Wang
openaire   +2 more sources

A Class of Koszul Algebra and Some Homological Invariants through Circulant Matrices and Cycles

open access: yesJournal of Mathematics, 2022
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

Complete resolution of the circulant nut graph order-degree existence problem

open access: yes, 2022
A circulant nut graph is a non-trivial simple graph such that its adjacency matrix is a circulant matrix whose null space is spanned by a single vector without zero elements. Regarding these graphs, the order-degree existence problem can be thought of as
Damnjanović, Ivan
core  

The Directed Oberwolfach Problem With Variable Cycle Lengths: A Recursive Construction

open access: yesJournal of Combinatorial Designs, Volume 33, Issue 7, Page 239-260, July 2025.
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

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