On probe interval graphs
نویسندگان
چکیده
منابع مشابه
Probe interval graphs and probe unit interval graphs on superclasses of cographs
A graph is probe (unit) interval if its vertices can be partitioned into two sets: a set of probe vertices and a set of nonprobe vertices, so that the set of nonprobe vertices is a stable set and it is possible to obtain a (unit) interval graph by adding edges with both endpoints in the set of nonprobe vertices. Probe (unit) interval graphs form a superclass of (unit) interval graphs. Probe int...
متن کاملProject Final Report On Probe Interval Graphs
As a central problem in molecular biology, physical mapping is to find the relative positions of fragments of DNA along the genome using certain pairwise overlap information. Mathematical models are essential for designing efficient algorithms that construct, combine and refine maps. A widely used model is the interval graph. However, interval graph needs complete overlap information between DN...
متن کاملCharacterizations of probe interval graphs
In this paper we obtain several characterizations of the adjacency matrix of a probe interval graph. In course of this study we describe an easy method of obtaining interval representation of an interval bipartite graph from its adjacency matrix. Finally, we note that if we add a loop at every probe vertex of a probe interval graph, then the Ferrers dimension of the corresponding symmetric bipa...
متن کاملLinear-Time Recognition of Probe Interval Graphs
The interval graph for a set of intervals on a line consists of one vertex for each interval, and an edge for each intersecting pair of intervals. A probe interval graph is a variant that is motivated by an application to genomics, where the intervals are partitioned into two sets: probes and non-probes. The graph has an edge between two vertices if they intersect and at least one of them is a ...
متن کاملRecognition of probe proper interval graphs
In a partitioned probe graph the vertex set is partitioned into probes and non-probes, such that the set of non-probes is an independent set. A probe proper interval graph is the intersection graph of a set of intervals on the line such that every vertex is mapped to an interval, no interval contains another, and two vertices are adjacent if and only if the corresponding intervals intersect and...
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ژورنال
عنوان ژورنال: Discrete Applied Mathematics
سال: 1998
ISSN: 0166-218X
DOI: 10.1016/s0166-218x(98)00077-8