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...

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...

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...

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...

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,...

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

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...

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

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

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

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

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

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...

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

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

(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...

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...

MI, Kim S, Weinstein JN, Pommier Y. Depicting combinatorial complexity with the molecular interaction map notation. Mol Syst Biol. 2006;2:51. (2006) doi:10...

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:...

complexes are objects of combinatorial character and therefore one can assign them quantities arising from their combinatorial pattern, for instance, the...

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

pathological, in some other areas. This initiated, one could say, the era of combinatorial topology. There is a further simplicial approximation theorem for homotopies...

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

the simplicial set. Indeed, one may view a simplicial set as a purely combinatorial construction designed to capture the essence of a topological space...

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

regular maps of small genus", Journal of Combinatorial Theory, Series B, 81 (2): 224–242, doi:10.1006/jctb.2000.2008. Nedela, Roman (2007), Maps, Hypermaps...