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Journal Article
MANUSCRIPTA MATHEMATICA, ISSN 0025-2611, 05/2020, Volume 162, Issue 1-2, pp. 241 - 269
We present a formula to compute the Brasselet number of f : (Y, 0) -> (C, 0) where Y. X is a non-degenerate complete intersection in a toric variety X... 
MATHEMATICS | FIBERS | FORMULA | DEFORMATIONS | EULER OBSTRUCTION | QUOTIENT SINGULARITIES
Journal Article
Computer Aided Geometric Design, ISSN 0167-8396, 11/2019, Volume 75, p. 101791
•Describes a 2-Norm Condition Number for Bézier Curve Intersection.•Condition number is straightforward to compute... 
Condition number | Numerical analysis | Bézier curve | Curve intersection | COMPUTER SCIENCE, SOFTWARE ENGINEERING | MATHEMATICS, APPLIED | Bezier curve
Journal Article
Physica D: Nonlinear Phenomena, ISSN 0167-2789, 07/2016, Volume 327, pp. 30 - 57
.... In particular applications, our formulation gives closed formulæ of a new type for the generating series of intersection numbers of ψ... 
Correlation function | Intersection numbers | Tau-function | KdV hierarchy | Wave function | Formulations | Correlation | Hierarchies | Nonlinear phenomena | Mathematical analysis | Images | Intersections
Journal Article
Discrete Mathematics, ISSN 0012-365X, 02/2017, Volume 340, Issue 2, pp. 107 - 118
...}. It is known that the r-color Ramsey number for P is R(P;r)=r+6 for r⩽7. The proof of this result relies on a careful analysis of the Turán numbers for P... 
3-uniform hypergraphs | MATHEMATICS | SYSTEMS | INTERSECTION-THEOREMS
Journal Article
Discussiones Mathematicae Graph Theory, ISSN 1234-3099, 05/2017, Volume 37, Issue 2, pp. 443 - 464
...}. It is known that the r-color Ramsey number for P is R(P; r) = r + 6 for r ≤ 9. The proof of this result relies on a careful analysis of the Turán numbers for P... 
Ramsey numbers | Turán numbers | MATHEMATICS | SYSTEMS | Turan numbers | INTERSECTION-THEOREMS
Journal Article
Journal of Knot Theory and Its Ramifications, ISSN 0218-2165, 10/2011, Volume 20, Issue 10, pp. 1325 - 1343
In this paper we provide a mathematical reconstruction of what might have been Gauss' own derivation of the linking number of 1833, providing also an alternative, explicit proof of its modern... 
Linking number | degree | signed crossings | oriented area | potential | intersection number | TOPOLOGY | MATHEMATICS | ENERGY | KNOTS | Reconstruction | Mathematical analysis | Proving | Derivation | Joining | Magnetism | Intersections | Linking
Journal Article
Discrete Mathematics, ISSN 0012-365X, 02/2016, Volume 339, Issue 2, pp. 533 - 538
A graph G has p-intersection number at most d if it is possible to assign to every vertex u of G, a subset S(u... 
Forbidden induced subgraph | [formula omitted]-intersection number | Intersection number | Intersection graph | p-intersection number | MATHEMATICS | DOT PRODUCT REPRESENTATIONS | GRAPHS
Journal Article
SIAM Journal on Discrete Mathematics, ISSN 0895-4801, 2013, Volume 27, Issue 1, pp. 550 - 561
.... It has been conjectured for a long time that for every fixed k, the maximum number of edges of a k-quasi-planar graph with n vertices is O(n... 
Quasi-planar graphs | Topological graphs | Turan-type problems | MATHEMATICS, APPLIED | DAVENPORT-SCHINZEL SEQUENCES | topological graphs | INTERSECTION PATTERNS | quasi-planar graphs | Graphs | Inverse | Planes | Upper bounds | Mathematical analysis
Journal Article
Journal Article
Chemistry – A European Journal, ISSN 0947-6539, 05/2017, Volume 23, Issue 25, pp. 6150 - 6164
The fractional occupation number weighted density (FOD) analysis is explored as a general theoretical diagnostic for complicated electronic structures... 
protein structures | quantum chemistry | computational chemistry | electronic structure | O-BENZYNE | MECHANISM | STATE PERTURBATION-THEORY | IMPLEMENTATION | OPEN-SHELL | CHEMISTRY, MULTIDISCIPLINARY | CYTOCHROME-P450 COMPOUND I | MULTIREFERENCE | PHOTOCHEMISTRY | CONICAL-INTERSECTION | VALENCE | Protonation
Journal Article
Atmospheric Environment, ISSN 1352-2310, 12/2015, Volume 123, pp. 25 - 38
Estimation of zone of influences (ZoI) at signalised traffic intersections (TI) is important to accurately model particle number concentrations (PNCs... 
Number size distribution | Driving condition | Traffic intersection | PNC profile | Positive matrix factorisation
Journal Article
ELECTRONIC JOURNAL OF COMBINATORICS, ISSN 1077-8926, 07/2017, Volume 24, Issue 3
...}. It is known that the r-colored Ramsey number for P is R(P;r) - r + 6 for r - 2,3, and that R... 
MATHEMATICS | MATHEMATICS, APPLIED | SYSTEMS | INTERSECTION-THEOREMS
Journal Article
Graphs and Combinatorics, ISSN 0911-0119, 9/2013, Volume 29, Issue 5, pp. 1221 - 1234
We define the Helly number of a polyomino P as the smallest number h such that the h-Helly property holds for the family of symmetric and translated copies of P on the integer grid... 
Combinatorics | Mathematics | Engineering Design | MATHEMATICS | EDGE INTERSECTION GRAPHS | PATHS | THEOREM | Computer science | Statistics | Geometry | Graph theory | Integers | Graphs | Reproduction | Rectangles | Combinatorial analysis | Computer Science - Computational Geometry
Journal Article
International Journal of Number Theory, ISSN 1793-0421, 03/2019, Volume 15, Issue 2, pp. 289 - 308
Over infinitely many number fields k (including all finite Galois extensions k / Q of odd degree unramified at 2... 
Châtelet surfaces | Brauer-Manin obstruction | rational points | Hasse principle | MATHEMATICS | Chatelet surfaces | 2 QUADRICS | INTERSECTIONS
Journal Article
Journal of Combinatorial Designs, ISSN 1063-8539, 11/2015, Volume 23, Issue 11, pp. 463 - 480
Intersection numbers for subspace designs are introduced and q‐analogs of the Mendelsohn... 
block design | subspace design | q‐analog | Fano plane | intersection number | q-analog | MATHEMATICS | Q-ANALOGS | 2-DESIGNS | T-DESIGNS | Mathematics - Combinatorics
Journal Article
Discrete Applied Mathematics, ISSN 0166-218X, 04/2014, Volume 167, pp. 144 - 162
We investigate edge-intersection graphs of paths in the plane grid, regarding a parameter called the bend-number, i.e... 
Grid paths | Intersection graphs | MATHEMATICS, APPLIED | INTERVAL NUMBER | CATERPILLAR ARBORICITY | STAR ARBORICITY | Lower bounds | Graphs | Bends | Planes | Mathematical analysis | Recognition | Computer Science
Journal Article
19.