Question 1.9. Let Kn:r denote the Kneser graph, whose vertex set is the set of r-element subsets of an n-element sets, and where two vertices form an edge if the corresponding sets are disjoint. (a) Describe Kn:1 for n ≥ 1. (b) Draw K4:2 and K5:2. (c) Determine |E(Kn:r) for n ≥ 2r ≥ 1.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
icon
Related questions
Question

the notation Kn:r for the Kneser graph, is different than the notation Kn,r for a complete bipartite graph.

 

Question 1.9. Let Kn:r denote the Kneser graph, whose vertex set is the set of r-element
subsets of an n-element sets, and where two vertices form an edge if the corresponding sets
are disjoint.
(a) Describe Kn:1 for n ≥ 1.
(b) Draw K4:2 and K5:2.
(c) Determine |E(Kn:r) for n ≥ 2r ≥ 1.
Transcribed Image Text:Question 1.9. Let Kn:r denote the Kneser graph, whose vertex set is the set of r-element subsets of an n-element sets, and where two vertices form an edge if the corresponding sets are disjoint. (a) Describe Kn:1 for n ≥ 1. (b) Draw K4:2 and K5:2. (c) Determine |E(Kn:r) for n ≥ 2r ≥ 1.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 5 steps with 50 images

Blurred answer
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Basic Technical Mathematics
Basic Technical Mathematics
Advanced Math
ISBN:
9780134437705
Author:
Washington
Publisher:
PEARSON
Topology
Topology
Advanced Math
ISBN:
9780134689517
Author:
Munkres, James R.
Publisher:
Pearson,