Around and Beyond the Isomorphism Problem for Interval Graphs

نویسندگان

  • Johannes Köbler
  • Sebastian Kuhnert
  • Oleg Verbitsky
چکیده

The class of problems solvable in logarithmic space has recently replenished with the isomorphism testing for interval graphs. We discuss this result, prospects of its extension to larger classes of graphs, and related issues such as constructing canonical models of intersection graphs and solving the Star System Problem for restricted classes of graphs.

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

Graph Isomorphism Completeness for Trapezoid Graphs

The complexity of the graph isomorphism problem for trapezoid graphs has been open over a decade. This paper shows that the problem is GI-complete. More precisely, we show that the graph isomorphism problem is GI-complete for comparability graphs of partially ordered sets with interval dimension 2 and height 3. In contrast, the problem is known to be solvable in polynomial time for comparabilit...

متن کامل

Induced Subgraph Isomorphism on Interval and Proper Interval Graphs

The Induced Subgraph Isomorphism problem on two input graphs G and H is to decide whether G has an induced subgraph isomorphic to H. Already for the restricted case where H is a complete graph the problem is NP-complete, as it is then equivalent to the Clique problem. In a recent paper [10] Marx and Schlotter show that Induced Subgraph Isomorphism is NP-complete when G and H are restricted to b...

متن کامل

Induced Subgraph Isomorphism on proper interval and bipartite permutation graphs

Given two graphs G and H as input, the Induced Subgraph Isomorphism (ISI) problem is to decide whether G has an induced subgraph that is isomorphic to H. This problem is NP-complete already when G and H are restricted to disjoint unions of paths, and consequently also NP-complete on proper interval graphs and on bipartite permutation graphs. We show that ISI can be solved in polynomial time on ...

متن کامل

Canonical Data Structure for Interval Probe Graphs

The class of interval probe graphs is introduced to deal with the physical mapping and sequencing of DNA as a generalization of interval graphs. The polynomial time recognition algorithms for the graph class are known. However, the complexity of the graph isomorphism problem for the class is still unknown. In this paper, extended MPQ-trees are proposed to represent the interval probe graphs. An...

متن کامل

The robust vertex centdian location problem with interval vertex weights on general graphs

In this paper, the robust vertex centdian  location  problem with uncertain vertex weights on general graphs is studied. The used criterion to solve the problem is the min-max  regret criterion. This problem  is  investigated  with objective function contains $lambda$  and  a polynomial time algorithm for the problem is presented. It is shown that the vertex centdian problem on general graphs i...

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:
  • Bulletin of the EATCS

دوره 107  شماره 

صفحات  -

تاریخ انتشار 2012