Strong LP duality in weighted infinite bipartite graphs

نویسندگان

  • Ron Aharoni
  • Vladimir Korman
چکیده

We prove a weighted generalization of Kiinig’s duality theorem for infinite bipartite graphs and a weighted version of its dual.

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

Weighted Matchings in General Graphs

In the previous section we saw how we could use LP duality theory to develop an algorithm for the weighted matching problem in bipartite graphs. In this section, we’ll see how to extend that algorithm to handle general graphs. As in the unweighted case, blossom-shrinking plays a central role. However, in weighted graphs we will handle blossoms a bit differently. In particular, we will maintain ...

متن کامل

On a Duality Principle in Infinite Bipartite Graphs

We consider an extension of Konig's duality theorem to infinite bipartite graphs, conjectured by Erdo's. We prove an equivalence between this conjecture and another conjecture, and using the equivalence we prove it in certain cases.

متن کامل

Maximum Weighted Independent Sets with a Budget

Given a graph G, a non-negative integer k, and a weight function that maps each vertex in G to a positive real number, the Maximum Weighted Budgeted Independent Set (MWBIS) problem is about finding a maximum weighted independent set in G of cardinality at most k. A special case of MWBIS, when the weight assigned to each vertex is equal to its degree in G, is called the Maximum Independent Verte...

متن کامل

A Linear Programming Approach to Nonstationary Infinite-Horizon Markov Decision Processes

Nonstationary infinite-horizon Markov decision processes (MDPs) generalize the most well-studied class of sequential decision models in operations research, namely, that of stationaryMDPs, by relaxing the restrictive assumption that problem data do not change over time. Linearprogramming (LP) has been very successful in obtaining structural insights and devising solutionmeth...

متن کامل

Weighted coloring on planar, bipartite and split graphs: Complexity and approximation

We study complexity and approximation of min weighted node coloring in planar, bipartite and split graphs. We show that this problem is NP-hard in planar graphs, even if they are triangle-free and their maximum degree is bounded above by 4. Then, we prove that min weighted node coloring is NP-hard in P8-free bipartite graphs, but polynomial for P5-free bipartite graphs. We next focus on approxi...

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:
  • Discrete Mathematics

دوره 131  شماره 

صفحات  -

تاریخ انتشار 1994