In mathematics, an incidence structure is an abstract system consisting of two types of objects and a single relationship between these types of objects...

mathematics, an incidence matrix is a logical matrix that shows the relationship between two classes of objects, usually called an incidence relation. If...

Incidence list, a concept in graph theory Incidence matrix, a matrix that shows the relationship between two classes of objects Incidence structure,...

In mathematics, incidence geometry is the study of incidence structures. A geometric structure such as the Euclidean plane is a complicated object that...

graph or incidence graph is a bipartite graph associated with an incidence structure. From a collection of points and lines in an incidence geometry or...

parallel class structure of an affine plane of order n may be used to construct a set of n − 1 mutually orthogonal latin squares. Only the incidence relations...

polyhedra Incidence structures generalize planes (such as affine, projective, and Möbius planes) as can be seen from their axiomatic definitions. Incidence structures...

Hopcroft's problem of finding point–line incidences Incidence matrix Incidence algebra Incidence structure Incidence geometry Levi graph Hilbert's axioms...

by playing on an arbitrary incidence structure, where rows are lines and cells are points. Tic-tac-toe's incidence structure consists of nine points, three...

universal set. Hypergraphs can be viewed as incidence structures. In particular, there is a bipartite "incidence graph" or "Levi graph" corresponding to every...

simplicial complex. An incidence structure consists of a set of points, a set of lines, and an (arbitrary) binary relation, called the incidence relation, specifying...

In combinatorial mathematics, a block design is an incidence structure consisting of a set together with a family of subsets known as blocks, chosen such...

arrangement of polygons that can be folded up to form a polyhedron An incidence structure consisting of points and parallel classes of lines An operator algebra...

finite incidence structure, so many of its properties can be established using combinatorial techniques and other tools used in the study of incidence geometries...

alpha subunit, a class of proteins Generalized quadrangle, a type of incidence structure in mathematics Generalized quantifier, a type of expression in linguistic...

elements lies in just one block. These incidence structures have been generalized with block designs. The incidence matrix used in these geometrical contexts...

In order theory, a field of mathematics, an incidence algebra is an associative algebra, defined for every locally finite partially ordered set and commutative...

Euclidean reflection. More generally, a Möbius plane is an incidence structure with the same incidence relationships as the classical Möbius plane. It is one...

projective geometry, an intersection theorem or incidence theorem is a statement concerning an incidence structure – consisting of points, lines, and possibly...

that facts are independent of any metric structure. Under the projective transformations, the incidence structure and the relation of projective harmonic...

find necessary and sufficient conditions for the existence of an incidence structure with given point degrees and block degrees; or in matrix language...

near-linear space) is a basic incidence structure in the field of incidence geometry, that carries slightly less structure than a linear space. The notion...

with respect to the Euclidean group of symmetries, while only the incidence structure and the cross-ratio are preserved under the most general projective...

space defined axiomatically in terms of an incidence structure (a set of points P, lines L, and an incidence relation I specifying which points lie on...

but with some additional restrictions: every two points of the incidence structure can be associated with at most one line, and every two lines can...

In mathematics, a generalized polygon is an incidence structure introduced by Jacques Tits in 1959. Generalized n-gons encompass as special cases projective...

Grazing incidence diffraction (GID) is a technique for interrogating a material using small incidence angles for an incoming wave, often leading to the...

used in constructing and analyzing various topological structures, such as incidence structures. Monogon Polygon Demihypercube "ResearchGate". The Symmetries...

In geometry, a generalized quadrangle is an incidence structure whose main feature is the lack of any triangles (yet containing many quadrangles). A generalized...

is defined axiomatically as an incidence structure, in terms of a set P of points, a set L of lines, and an incidence relation I that determines which...