A combinatorial map is a combinatorial representation of a graph on an orientable surface. A combinatorial map may also be called a combinatorial embedding...

means of stereographic projection. Plane graphs can be encoded by combinatorial maps or rotation systems. An equivalence class of topologically equivalent...

generalized map is a topological model which allows one to represent and to handle subdivided objects. This model was defined starting from combinatorial maps in...

of here as a 1-dimensional cell complex) a combinatorial map is a continuous map f : Γ → Γ such that: The map f takes vertices to vertices. For every edge...

overlapping edges Planar graph, a graph drawn on a planar surface Maps of manifolds Combinatorial map, a representation of a topological subdivision of the plane...

the term combinatorial proof is often used to mean either of two types of mathematical proof: A proof by double counting. A combinatorial identity is...

theorem, or the four color map theorem, states that no more than four colors are required to color the regions of any map so that no two adjacent regions...

complexity. Quad-edge data structure Doubly linked face list Winged edge Combinatorial map Muller, D. E.; Preparata, F. P. (1978). "Finding the Intersection...

In combinatorial mathematics, the theory of combinatorial species is an abstract, systematic method for deriving the generating functions of discrete structures...

cartogram (also called a value-area map or an anamorphic map, the latter common among German-speakers) is a thematic map of a set of features (countries,...

In mathematics, and in particular in combinatorics, the combinatorial number system of degree k (for some positive integer k), also referred to as combinadics...

model constructed by planar surfaces only Bézier curve Bézier surface Combinatorial maps Coons surface Function representation Geometric modeling kernel NURBS...

The multidimensional assignment problem (MAP) is a fundamental combinatorial optimization problem which was introduced by William Pierskalla. This problem...

exactly when the subdivision rule is conformal, as described in the combinatorial Riemann mapping theorem. Applications of subdivision rules. Islamic...

Discrete geometry and combinatorial geometry are branches of geometry that study combinatorial properties and constructive methods of discrete geometric...

\end{aligned}}} cf. Cayley-Hamilton theorem. Such expressions are deducible from combinatorial arguments, Newton's identities, or the Faddeev–LeVerrier algorithm....

start-left edges until the original edge is reached. Winged edge Combinatorial maps Doubly connected edge list Stolfi, Jorge; Guibas, Leonidas J. (April...

exactly once and returns to the origin city?" It is an NP-hard problem in combinatorial optimization, important in theoretical computer science and operations...

(2004), "Graphs and digraphs with all 2-factors isomorphic", Journal of Combinatorial Theory, Series B, 92 (2): 395–404, doi:10.1016/j.jctb.2004.09.004, MR 2099150...

of topographic maps in the visual cortices, including retinotopic maps, ocular dominance maps and orientation maps. Retinotopic maps are the easiest...

In combinatorial mathematics, a partial permutation, or sequence without repetition, on a finite set S is a bijection between two specified subsets of...

bound Bruss algorithm: see odds algorithm Chain matrix multiplication Combinatorial optimization: optimization problems where the set of feasible solutions...

Tan TC, Oclaman JM, Han JS, Simó S, Niwa S, et al. (April 2020). "A Combinatorial MAP Code Dictates Polarized Microtubule Transport". Developmental Cell...

stamps", Journal of Combinatorial Theory, 5 (2): 135–152, doi:10.1016/S0021-9800(68)80048-1, MR 0228364 Lunnon, W. F. (1968), "A map-folding problem", Mathematics...

In algebra, an additive map, Z {\displaystyle Z} -linear map or additive function is a function f {\displaystyle f} that preserves the addition operation:...

from more primitive combinatorial constituent data. The origin of combinatorial anabelian geometry is in some of such combinatorial ideas in Mochizuki's...

Edge *edge; } class Face { Edge *edge; } Quad-edge data structure Combinatorial maps Doubly connected edge list Doubly linked face list Half-edge data...

In the mathematics of combinatorial games, the sum or disjunctive sum of two games is a game in which the two games are played in parallel, with each...

That there are maps for which three colors are not sufficient) Molitierno, Jason J. (19 April 2016). Applications of Combinatorial Matrix Theory to...

McGraw-Hill. ISBN 0-07-016333-2. (NB. Chapters 7–9 cover combinatorial two-level, combinatorial multi-level, and respectively sequential circuit optimization...