A simple 3-sweep LBFS algorithm for the recognition of unit interval graphs
نویسندگان
چکیده
منابع مشابه
A simple 3-sweep LBFS algorithm for the recognition of unit interval graphs
We present a simple linear time algorithm for unit interval graph recognition. This algorithm uses 3 LBFS sweeps and then a very simple test to determine if the given graph is a unit interval graph. It is argued that this algorithm is the most easily implementable unit interval graph recognition algorithm known. ? 2003 Elsevier B.V. All rights reserved.
متن کاملA Four-Sweep LBFS Recognition Algorithm for Interval Graphs
In their 2009 paper, Corneil et al. design a linear time interval graph recognition algorithm based on six sweeps of Lexicographic Breadth-First Search (LBFS) and prove its correctness. They believe that their corresponding 5-sweep LBFS interval graph recognition algorithm is also correct. Thanks to the LBFS structure theory established mainly by Corneil et al., we are able to present a 4-sweep...
متن کاملThe LBFS Structure and Recognition of Interval Graphs
A graph is an interval graph if it is the intersection graph of intervals on a line. Interval graphs are known to be the intersection of chordal graphs and asteroidal triple-free graphs, two families where the well-known Lexicographic Breadth First Search (LBFS) plays an important algorithmic and structural role. In this paper we show that interval graphs have a very rich LBFS structure and tha...
متن کاملSimple Linear Time Recognition of Unit Interval Graphs
We present a linear time algorithm for unit interval graph recognition. The algorithm is simple and based on Breadth-First Search. It is also direct | it does not rst recognize the graph as an interval graph. Given a graph G, the algorithm produces an ordering of the vertices of the graph whenever G is a unit interval graph. This order corresponds to the order of the intervals of some unit inte...
متن کاملMaximal Neighborhood Search and Rigid Interval Graphs
A rigid interval graph is an interval graph which has only one clique tree. In 2009, Panda and Das show that all connected unit interval graphs are rigid interval graphs. Generalizing the two classic graph search algorithms, Lexicographic Breadth-First Search (LBFS) and Maximum Cardinality Search (MCS), Corneil and Krueger propose in 2008 the so-called Maximal Neighborhood Search (MNS) and show...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Discrete Applied Mathematics
سال: 2004
ISSN: 0166-218X
DOI: 10.1016/j.dam.2003.07.001