Configuration space of geometric objects
YG Stoyan, SV Yakovlev - Cybernetics and Systems Analysis, 2018 - Springer
The concept of configuration space of geometric objects is introduced. Its generalized
variables are metric parameters of the spatial form and parameters of the location of objects …
variables are metric parameters of the spatial form and parameters of the location of objects …
[图书][B] Handbook of geometric constraint systems principles
M Sitharam, AS John, J Sidman - 2018 - taylorfrancis.com
The Handbook of Geometric Constraint Systems Principles is an entry point to the currently
used principal mathematical and computational tools and techniques of the geometric …
used principal mathematical and computational tools and techniques of the geometric …
Identifiability of Graphs with Small Color Classes by the Weisfeiler--Leman Algorithm
As is well known, the isomorphism problem for vertex-colored graphs with color multiplicity
at most 3 is solvable by the classical two-dimensional Weisfeiler--Leman algorithm (2-WL) …
at most 3 is solvable by the classical two-dimensional Weisfeiler--Leman algorithm (2-WL) …
Vertex and edge orbits in nut graphs
N Bašić, PW Fowler, T Pisanski - arXiv preprint arXiv:2312.03149, 2023 - arxiv.org
A nut graph is a simple graph for which the adjacency matrix has a single zero eigenvalue
such that all non-zero kernel eigenvectors have no zero entry. If the isolated vertex is …
such that all non-zero kernel eigenvectors have no zero entry. If the isolated vertex is …
Murphy's law on a fixed locus of the Quot scheme
RF Schmiermann - arXiv preprint arXiv:2307.16272, 2023 - arxiv.org
Let $ T:=\mathbb {G} _m^ d $ be the torus acting on the Quot scheme of points
$\coprod_n\mathrm {Quot} _ {\mathcal {O}^ r/\mathbb {A}^ d/\mathbb {Z}}^ n $ via the …
$\coprod_n\mathrm {Quot} _ {\mathcal {O}^ r/\mathbb {A}^ d/\mathbb {Z}}^ n $ via the …
On sequential locally repairable codes
We consider the locally repairable codes (LRCs), aiming at sequentially recovering multiple
erasures; in particular, we propose and study the so-called (n, k, r, t)-sequential LRCs …
erasures; in particular, we propose and study the so-called (n, k, r, t)-sequential LRCs …
Reproducing the Reaction Route Map on the Shape Space from Its Quotient by the Complete Nuclear Permutation-Inversion Group
H Teramoto, T Saito, M Aoki, B Murayama… - Journal of Chemical …, 2023 - ACS Publications
This study develops an algorithm to reproduce reaction route maps (RRMs) in the shape
space from the outputs of potential search algorithms. To demonstrate the algorithm, global …
space from the outputs of potential search algorithms. To demonstrate the algorithm, global …
Incidences and tilings
S Fomin, P Pylyavskyy - arXiv preprint arXiv:2305.07728, 2023 - arxiv.org
We show that various classical theorems of real/complex linear incidence geometry, such as
the theorems of Pappus, Desargues, M\" obius, and so on, can be interpreted as special …
the theorems of Pappus, Desargues, M\" obius, and so on, can be interpreted as special …
Klein's arrangements of lines and conics
G Gévay, P Pokora - Beiträge zur Algebra und Geometrie/Contributions to …, 2024 - Springer
Klein’s arrangements of lines and conics | Beiträge zur Algebra und Geometrie / Contributions
to Algebra and Geometry Skip to main content SpringerLink Account Menu Find a journal …
to Algebra and Geometry Skip to main content SpringerLink Account Menu Find a journal …
On problems concerning fixed-point-free permutations and on the polycirculant conjecture-a survey
Fixed-point-free permutations, also known as derangements, have been studied for
centuries. In particular, depending on their applications, derangements of prime-power order …
centuries. In particular, depending on their applications, derangements of prime-power order …