The Graph Sandwich Problem for P4-sparse graphs

نویسندگان

  • Simone Dantas
  • Sulamita Klein
  • Célia Picinin de Mello
  • Aurora Morgana
چکیده

The P4-sparse Graph Sandwich Problem asks, given two graphs G 1 = (V, E1) and G2 = (V, E2), whether there exists a graph G = (V, E) such that E1 ⊆ E ⊆ E2 and G is P4-sparse. In this paper we present a polynomial-time algorithm for solving the Graph Sandwich Problem for P4-sparse graphs. c © 2008 Elsevier B.V. All rights reserved.

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

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Maximum-Size Subgraphs of P4-Sparse Graphs Admitting a Perfect Matching

In this paper, we address the problem of computing a maximum-size subgraph of a P4-sparse graph which admits a perfect matching; in the case where the graph has a perfect matching, the solution to the problem is the entire graph. We establish a characterization of such subgraphs, and describe an algorithm for the problem which for a P4-sparse graph on n vertices and m edges, runs in O(n +m) tim...

متن کامل

Weighted Coloring on P4-sparse Graphs

Given an undirected graph G = (V, E) and a weight function w : V → R, a vertex coloring of G is a partition of V into independent sets, or color classes. The weight of a vertex coloring of G is defined as the sum of the weights of its color classes, where the weight of a color class is the weight of a heaviest vertex belonging to it. In the W C problem, we want to determine the mi...

متن کامل

Minimum Sum Coloring of P4-sparse graphs

In this paper, we study the Minimum Sum Coloring (MSC) problem on P4-sparse graphs. In the MSC problem, we aim to assign natural numbers to vertices of a graph such that adjacent vertices get different numbers, and the sum of the numbers assigned to the vertices is minimum. First, we introduce the concept of maximal sequence associated with an optimal solution of the MSC problem of any graph. N...

متن کامل

A Fully Dynamic Algorithm for the Recognition of P4-Sparse Graphs

In this paper, we solve the dynamic recognition problem for the class of P4-sparse graphs: the objective is to handle edge/vertex additions and deletions, to recognizeif each such modification yields a P4-sparse graph, and if yes, to update a representationof the graph. Our approach relies on maintaining the modular decomposition tree of thegraph, which we use for solving the re...

متن کامل

On the Minimum Sum Coloring of P 4-Sparse Graphs

In this paper, we study the Minimum Sum Coloring (MSC) problem on P4-sparse graphs. In the MSC problem, we aim to assign natural numbers to vertices of a graph such that adjacent vertices get different numbers, and the sum of the numbers assigned to the vertices is minimum. Based in the concept of maximal sequence associated with an optimal solution of the MSC problem of any graph, we show that...

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

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

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:
  • Discrete Mathematics

دوره 309  شماره 

صفحات  -

تاریخ انتشار 2009