Answered step by step
Verified Expert Solution
Link Copied!

Question

1 Approved Answer

Let k,n>0 be integers, and let D be a collection of n closed discs in the plane so that any point in R2 is contained

image text in transcribed

Let k,n>0 be integers, and let D be a collection of n closed discs in the plane so that any point in R2 is contained in at most k elements of D, and no disc of D is contained in another disc of D. The intersection graph I(D) of D is defined over the vertex set D, and its edges correspond to intersecting pairs D1,D2D. Show that for any weight function w:DR+{0} the intersection graph I(D) admits a weighted (9/10)-separator of size O(kn). Hint: What is the maximum degree of I(D)

Step by Step Solution

There are 3 Steps involved in it

Step: 1

blur-text-image

Get Instant Access to Expert-Tailored Solutions

See step-by-step solutions with expert insights and AI powered tools for academic success

Step: 2

blur-text-image

Step: 3

blur-text-image

Ace Your Homework with AI

Get the answers you need in no time with our AI-driven, step-by-step assistance

Get Started

Recommended Textbook for

Databases And Information Systems 1 International Baltic Conference Dbandis 2020 Tallinn Estonia June 19 2020 Proceedings

Authors: Tarmo Robal ,Hele-Mai Haav ,Jaan Penjam ,Raimundas Matulevicius

1st Edition

303057671X, 978-3030576714

More Books

Students also viewed these Databases questions