A Simple Linear-Time Recognition Algorithm for Weakly Quasi-Threshold Graphs

نویسندگان
چکیده

برای دانلود رایگان متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

A Simple Linear-Time Recognition Algorithm for Weakly Quasi-Threshold Graphs

Weakly quasi-threshold graphs form a proper subclass of the well-known class of cographs by restricting the join operation. In this paper we characterize weakly quasi-threshold graphs by a finite set of forbidden subgraphs: the class of weakly quasi-threshold graphs coincides with the class of {P4, co-(2P3)}-free graphs. Moreover we give the first linear-time algorithm to decide whether a given...

متن کامل

Laplacian Spectrum of Weakly Quasi-threshold Graphs

In this paper we study the class of weakly quasi-threshold graphs that are obtained from a vertex by recursively applying the operations (i) adding a new isolated vertex, (ii) adding a new vertex and making it adjacent to all old vertices, (iii) disjoint union of two old graphs, and (iv) adding a new vertex and making it adjacent to all neighbours of an old vertex. This class contains the class...

متن کامل

A Simple Linear Time Algorithm for Triangulating Three-Colored Graphs

In this paper we consider the problem of determining whether a given colored graph can be triangulated, such that no edges between vertices of the same color are added. This problem originated from the Perfect Phylogeny problem from molecular biology, and is strongly related with the problem of recognizing partial k-trees. In this paper we give a simple linear time algorithm that solves the pro...

متن کامل

A simple linear time algorithm for cograph recognition

In this paper, we describe a new simple linear time algorithm to recognize cographs. Cographs are exactly the P4-free graphs (where P4 denotes the path with 4 vertices). The recognition process works in two steps. First, we use partition refinement techniques to produce a factorizing permutation, i.e., an ordering of the vertices in which the strong modules appear consecutively. Then a very sim...

متن کامل

A linear time recognition algorithm for proper interval graphs

We propose a linear time recognition algorithm for proper interval graphs. The algorithm is based on certain ordering of vertices, called bicompatible elimination ordering (BCO). Given a BCO of a biconnected proper interval graph G, we also propose a linear time algorithm to construct a Hamiltonian cycle of G.

متن کامل

ذخیره 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: Graphs and Combinatorics

سال: 2010

ISSN: 0911-0119,1435-5914

DOI: 10.1007/s00373-010-0983-0