Discrete geometry on red and blue points in the plane—a survey—

A Kaneko, M Kano - Discrete and Computational Geometry: The Goodman …, 2003 - Springer
In this paper, we give a short survey on discrete geometry on red and blue points in the
plane, most of whose results were obtained in the past decade. We consider balanced …

[HTML][HTML] Bipartite embeddings of trees in the plane

M Abellanas, J Garcıa, G Hernández, M Noy… - Discrete Applied …, 1999 - Elsevier
In this paper we consider the following embedding problem. A point set P in the plane in
general position is partitioned into two disjoint sets R and B, and we are asked to embed a …

Computing optimal islands

C Bautista-Santiago, JM Díaz-Báñez, D Lara… - Operations Research …, 2011 - Elsevier
Let S be a bicolored set of n points in the plane. A subset I of S is an island if there is a
convex set C such that I= C∩ S. We give an O (n3)-time algorithm to compute a …

[PDF][PDF] On geometric separability

C Seara - Applied Mathematics, Ph. D. Thesis, University of. Polit' …, 2002 - mat.upc.edu
Once upon a time, around the 1970's, Computational Geometry was born. Some people in
the community establish that the father was M. Shamos with his Ph. D. thesis at Yale …

Alternating Hamilton cycles with minimum number of crossings in the plane

A Kaneko, M Kano, K Yoshimoto - International Journal of …, 2000 - World Scientific
Let X and Y be two disjoint sets of points in the plane such that| X|=| Y| and no three points of
X∪ Y are on the same line. Then we can draw an alternating Hamilton cycle on X∪ Y in the …

On embedding a graph on two sets of points

E Di Giacomo, G Liotta, F Trotta - International Journal of …, 2006 - World Scientific
Let R and B be two sets of points such that the points of R are colored red and the points of B
are colored blue. Let G be a planar graph such that| R| vertices of G are red and| B| vertices …

[PDF][PDF] Caminos alternantes

M Abellanas, A Garcıa, F Hurtado… - Actas X Encuentros de …, 2003 - researchgate.net
Dados R y B, conjuntos disjuntos de puntos en el plano (puntos rojos y azules
respectivamente), un camino alternante es un camino sin cortes que une alternativamente …

ADOPT: Efficient hardware address generation in distributed memory architectures

M Miranda, F Catthoor, M Janssen… - Proceedings of 9th …, 1996 - ieeexplore.ieee.org
An address generation and optimization environment (ADOPT) for distributed memory
architectures, is presented. ADOPT is oriented to minimize the area overhead introduced by …

Intersection number of two connected geometric graphs

S Tokunaga - Information Processing Letters, 1996 - Elsevier
Let S be a finite set of points in the plane in general position such that each point of S is
colored red or blue. In this paper, we solve the following problem: find two geometric …

A linear-time approximation algorithm for the minimum-length geometric embedding of trees

A Bagheri, F Keshavarz-Kohjerdi, M Razzazi - Optimization, 2024 - Taylor & Francis
In this paper, we study the problem of computing a geometric embedding of a tree onto a
point set in the Euclidean plane such that the total edge length of the embedding is …