Publication

On Optimum Partitioning of Rectilinear Layouts

1996
Journal Articles

Abstract

Given a set S of nonoverlapping axis-parallel rectangles placed inside a rectangular region B, a partition of the space B\S is called a ‘free space partition’. A simple proof of a formula on the number of rectangles in a minimum free space partition is presented. Based on this formula, it is shown that a minimum free space partition can be computed using a well known geometric graph search algorithm in O(n3/2 log n) time.

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1996
Journal Articles

Abstract

Official source

Related concepts (28)

Partition type

The partition type (or partition ID) in a partition's entry in the partition table inside a master boot record (MBR) is a byte value intended to specify the the partition contains or to flag special access methods used to access these partitions (e.g. special CHS mappings, LBA access, logical mapped geometries, special driver access, hidden partitions, secured or encrypted file systems, etc.). Lists of assigned partition types to be used in the partition table in the MBR were originally maintained by IBM and Microsoft internally.

Graph traversal

In computer science, graph traversal (also known as graph search) refers to the process of visiting (checking and/or updating) each vertex in a graph. Such traversals are classified by the order in which the vertices are visited. Tree traversal is a special case of graph traversal. Unlike tree traversal, graph traversal may require that some vertices be visited more than once, since it is not necessarily known before transitioning to a vertex that it has already been explored.

Bipartite graph

In the mathematical field of graph theory, a bipartite graph (or bigraph) is a graph whose vertices can be divided into two disjoint and independent sets and , that is, every edge connects a vertex in to one in . Vertex sets and are usually called the parts of the graph. Equivalently, a bipartite graph is a graph that does not contain any odd-length cycles. The two sets and may be thought of as a coloring of the graph with two colors: if one colors all nodes in blue, and all nodes in red, each edge has endpoints of differing colors, as is required in the graph coloring problem.

Related publications (1)

On Optimum Partitioning of Rectilinear Layouts

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