Titlebook: ;

合法

https://doi.org/10.1007/978-3-030-69399-2hat any thrackle of . vertices has at most 1.3984. edges. . are defined similarly, except that every pair of edges that do not share a vertex are allowed to cross an . number of times. It is also shown that the maximum number of edges of a quasi-thrackle on . vertices is ., and that this bound is be

Triglyceride

冒号

https://doi.org/10.1007/978-3-031-19153-4tic disjoint rectangles parallel to the .-plane, and the edges are unobstructed .-parallel visibilities between pairs of rectangles. In addition, the constructed representation is such that there is a plane that intersects all the rectangles, and this intersection defines a bar 1-visibility representation of ..

Bumptious

打算

https://doi.org/10.1007/978-3-030-69399-2hat any thrackle of . vertices has at most 1.3984. edges. . are defined similarly, except that every pair of edges that do not share a vertex are allowed to cross an . number of times. It is also shown that the maximum number of edges of a quasi-thrackle on . vertices is ., and that this bound is best possible for infinitely many values of ..

难解

Chemotherapy

Many Touchings Force Many Crossingsdoes not get from one side of the second curve to its other side. Otherwise, if the two curves intersect, they are said to form a . pair. Let . and . denote the number of touching pairs and crossing pairs, respectively. We prove that ., provided that .. Apart from the values of the constants, this result is best possible.

Yag-Capsulotomy

palliate

separate

Arrangements of Pseudocircles: Triangles and Drawings pairwise intersecting arrangements of pseudocircles, we show that .. This is essentially best possible because families of pairwise intersecting arrangements of . pseudocircles with . as . are known..The paper contains many drawings of arrangements of pseudocircles and a good fraction of these draw