Maximizing Several Cuts Simultaneously

نویسندگان

  • Daniela Kühn
  • Deryk Osthus
چکیده

Consider two graphs G1 and G2 on the same vertex set V and suppose that Gi has mi edges. Then there is a bipartition of V into two classes A and B so that for both i = 1, 2 we have eGi(A,B) ≥ mi/2 − √ mi. This answers a question of Bollobás and Scott. We also prove results about partitions into more than two vertex classes.

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

Routing Multiple Unsplittable Flows Between Two Cloud Sites with QoS Guarantees

Large scale cloud applications may require users to get multiple resources (e.g., VMs, storages) from different sites and simultaneously connect each pair of resources by a path that can satisfy certain Quality-of-Service (QoS) requirements. Finding such paths with the bandwidth constraint is known as the unsplittiable flow problem, which is shown to be NPhard. Accordingly, various approximatio...

متن کامل

Most balanced minimum cuts and partially ordered knapsack

We consider the problem of finding most balanced cuts among minimum st-edge cuts and minimum st-vertex cuts, for given vertices s and t, according to different balance criteria. For edge cuts [S, S] we seek to maximize min{|S|, |S|}. For vertex cuts C of G we consider the objectives of (i) maximizing min{|S|, |T |}, where {S, T} is a partition of V (G)\C with s ∈ S, t ∈ T and [S, T ] = ∅, (ii) ...

متن کامل

Scenario-based modeling for multiple allocation hub location problem under disruption risk: multiple cuts Benders decomposition approach

The hub location problem arises in a variety of domains such as transportation and telecommunication systems. In many real-world situations, hub facilities are subject to disruption. This paper deals with the multiple allocation hub location problem in the presence of facilities failure. To model the problem, a two-stage stochastic formulation is developed. In the proposed model, the number of ...

متن کامل

A Multi-objective optimization model for project scheduling with time-varying resource requirements and capacities

Proper and realistic scheduling is an important factor of success for every project. In reality, project scheduling often involves several objectives that must be realized simultaneously, and faces numerous uncertainties that may undermine the integrity of the devised schedule. Thus, the manner of dealing with such uncertainties is of particular importance for effective planning. A realistic sc...

متن کامل

Maximizing the spin correlation of top quark pairs produced at the Large Hadron Collider

The measurement of top quark spin correlation is an important tool for precise studies of top quark interactions. In this letter I construct a quantization axis maximizing the spin correlation at the LHC within the Standard Model. Using this axis a spin correlation of 48% or even more, on applying additional cuts, can be reached. This represents a significant improvement compared to the helicit...

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:
  • Combinatorics, Probability & Computing

دوره 16  شماره 

صفحات  -

تاریخ انتشار 2007