Generic Programing for Graph Problems Using Tree Decompositions

نویسندگان

  • Fang Wei
  • Emmanouil Paisios
  • Nysret Musliu
چکیده

vii

برای دانلود رایگان 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

Dynamic Programming on Tree Decompositions Using Generalised Fast Subset Convolution

In this paper, we show that algorithms on tree decompositions can be made faster with the use of generalisations of fast subset convolution. Amongst others, this gives algorithms that, for a graph, given with a tree decomposition of width k, solve the dominated set problem in O(nk3) time and the problem to count the number of perfect matchings in O∗(2k) time. Using a generalisation of fast subs...

متن کامل

Branch and Tree Decomposition Techniques for Discrete Optimization

This chapter gives a general overview of two emerging techniques for discrete optimization that have footholds in mathematics, computer science, and operations research: branch decompositions and tree decompositions. Branch decompositions and tree decompositions along with their respective connectivity invariants, branchwidth and treewidth, were first introduced to aid in proving the Graph Mino...

متن کامل

Ranked Enumeration of Minimal Triangulations

Tree decompositions facilitate computations on complex graphs by grouping vertices into bags interconnected in an acyclic structure; hence their importance in a plethora of problems such as query evaluation over databases and inference over probabilistic graphical models. Different applications take varying benefits from different tree decompositions, and hence, measure them by diverse (sometim...

متن کامل

Tree Decomposition: A Feasibility Study

Graphs of small treewidth resemble a tree in a certain (precise) sense. Many computationally hard graph problems can be solved efficiently on graphs of small treewidth using a “tree decomposition,” which represents the constructive aspect of treewidth. However, computing minimum-width tree decompositions is NP-hard in general, but for fixed treewidth, there exist algorithms with polynomial runn...

متن کامل

Plane Decompositions as Tools for Approximation

Tree decompositions were developed by Robertson and Seymour [21]. Since then algorithms have been developed to solve intractable problems efficiently for graphs of bounded treewidth. In this paper we extend tree decompositions to allow cycles to exist in the decomposition graph; we call these new decompositions plane decompositions because we require that the decomposition graph be planar. Firs...

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

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2008