Exercises
Multiple Choice
Articles
Open Problems
Login
5 items
Tagged:
hamiltonian cycle
x
Start over
- to expand, or dig in by adding more tags and revising the query.
Sort By:
trending ▼
date
0
Undergraduate
By
diego
on June 8, 2012 | Updated Dec. 6, 2017
The cube of a connected graph is hamiltonian
Prove that the vertices of any connected graph \(G\) can be listed in a cyclic order so that the distance in \(G\) of every two consecutive vertices is at most \(3\). Moreover, show that this can be …
Computer Science
Mathematics
Algorithms
Graph Theory
hamiltonian cycle
0
Undergraduate
By
Shiva Kintali
on June 5, 2012 | Updated Dec. 6, 2017
Properties of Petersen Graph
Petersen Graph is the graph shown below : Prove the following properties of the Petersen Graph : It is not planar. It is strongly-regular. It has a Hamiltonian path but no Hamiltonian Cycle. It i…
Mathematics
Graph Theory
connectivity
hamiltonian cycle
matching
petersen graph
0
Graduate
By
Shiva Kintali
on June 12, 2012 | Updated Dec. 6, 2017
Hamiltonian cycles in odd graphs
Let \(G\) be a graph such that all vertices of \(G\) have odd degree. Let \(e\) be any edge of \(G\). Prove that there are an even number of Hamiltonian cycles using \(e\).
Mathematics
Graph Theory
hamiltonian cycle
0
Undergraduate
By
Shiva Kintali
on May 19, 2013 | Updated Dec. 6, 2017
Basics of Hamiltonicity
Let \(G(V,E)\) be a simple graph with \(n\) vertices and minimum degree \(\delta\). Also, for every two vertices \(x, y \in V\), \(|N(x) \cup N(y)| + \delta \ge n + 10\). Prove that \(G\) has a Hami…
Mathematics
Graph Theory
basics
hamiltonian cycle
0
Undergraduate
By
Shiva Kintali
on Sept. 28, 2013 | Updated Jan. 4, 2018
Hamiltonicity of Line Graphs
Let \(G=(V,E)\) be a simple undirected graph. The line graph \(L(G)\) of \(G\) is defined as follows: Each vertex in \(L(G)\) corresponds to an edge in \(G\), and two vertices are connected by an e…
Mathematics
Graph Theory
hamiltonian cycle
line graph
icon
Sign In or Sign Up
icon
Invite Friends
Post Something
x
Select What You'd Like To Post
POST AN ARTICLE
POST AN OPEN PROBLEM
POST AN EXERCISE
POST A MULTIPLE-CHOICE QUESTION
Content Types
Articles
Open Problems
Exercises
Multiple-Choice Questions
Levels
High school
Undergraduate
Graduate
Subjects
Mathematics
Computer Science
Puzzles
Optimization
Trending tags
jee
jee 2016
jee advanced
jee mathematics
differentiation
inequality
trees
equation
pyramid
limits
Topics
Algebra
Algorithms
Approximation Algorithms
Calculus
Combinatorial Optimization
Combinatorics
Complexity Theory
Data Structures
Discrete Mathematics
Game Theory
Geometry
Graph Theory
Linear Algebra
Linear Programming
Logic
Mathematical Analysis
Mathematics
Matrix Theory
Number Theory
Optimization
Probability
Programming
Puzzles
Randomized Algorithms
Real Analysis
Trigonometry
×