- Euler Tour Technique🔍
- 2.4 Euler Trails and Circuits🔍
- Euler Tour Trees🔍
- Cycle decompositions in 3|uniform hypergraphs🔍
- Cycle decompositions in k|uniform hypergraphs🔍
- An Informal Way to Explore Eulerian Path in a Graph🔍
- The Existence of Designs via Iterative Absorption🔍
- Approximate Counting of Matchings in Sparse Uniform Hypergraphs🔍
Euler Tours in Hypergraphs
Euler Tour Technique - CSE, IIT Delhi
Euler Tour Technique. We have already seen this in the pointer jumping ... If all vertices are of even degrees, it's an Euler graph. Page 11. Page 12 ...
2.4 Euler Trails and Circuits - Runestone Academy
An Euler trail, in a graph or multigraph, is a walk through the graph which uses every edge exactly once. An Euler circuit is an Euler trail which starts and ...
environment. ○ Euler Tour Trees. ○ A data structure for dynamic connectivity. ○ The Bottleneck Path Problem.
Cycle decompositions in 3-uniform hypergraphs
We show that 3-graphs on n vertices whose codegree is at least (2/3+o(1))n can be decomposed into tight cycles and admit Euler tours, subject to ...
Cycle decompositions in k-uniform hypergraphs
As a corollary, we show that such hypergraphs also have a tight. Euler tour answering a question of Glock, Joos, Kühn and Osthus. This is joint work with ...
An Informal Way to Explore Eulerian Path in a Graph - Academia.edu
A straight-ahead walk in an embedded Eulerian graph G always passes from an edge to the opposite edge in the rotation at the same vertex. A straight-ahead walk ...
The Existence of Designs via Iterative Absorption: Hypergraph
... Euler tours in hypergraphs, Combinatorica 40 (2020), no. 5, 679–690. MR 4181762, DOI 10.1007/s00493-020-4046-8 · Stefan Glock, Daniela Kühn, Allan Lo, Richard ...
Approximate Counting of Matchings in Sparse Uniform Hypergraphs
hypergraphs whose intersection graphs contain few claws. Our method ... two or four and therefore, by Euler's theorem, there is an Eulerian tour Er in.
Pseudorandom hypergraph matchings with Stefan Ehard and Felix Joos Combinatorics, Probability & Computing 29 (2020), 868-885 ☞ · Euler tours in hypergraphs
The number of Euler tours of a random $d$-in/$d$-out graph - HAL
We make use of the BEST theorem of de Bruijn, van Aardenne-Ehrenfest, Smith and Tutte, which shows that the number of Euler tours of a d-in/d-out graph is the ...
Stefan Glock - Google Scholar
Extremal aspects of graph and hypergraph decomposition problems. S Glock ... Euler tours in hypergraphs. S Glock, F Joos, D Kühn, D Osthus. arXiv preprint ...
2nd goal: Actually find an Eulerian tour in an undirected graph G, when possible. Page 18. Finding Eulerian tours. How many paths are there ...
The Complexity of Counting Eulerian Tours in 4-Regular Graphs
The problem of counting Eulerian tours (#ET) of a graph is one of a few recognized ... in Eulerian graphs and of finding spanning trees in hypergraphs.
Felix Joos - Fachbereich Mathematik
Pseudorandom hypergraph matchings (with S. Ehard and S. Glock). The edge-Erdős-Pósa property (with H. Bruhn and M. Heinlein). Euler tours in hypergraphs (with S ...
Euler Paths and Euler Circuits - Jeremy L. Martin
An Euler circuit is a circuit that uses every edge of a graph exactly once. ▷ An Euler path starts and ends at different vertices. ▷ An Euler circuit starts and ...
Euler Tour - Flattening a Tree - YouTube
In this video, I shall be discussing the concept of euler tour which is also called flattening a tree which has variety of applications.
The NP-completeness of finding A-trails in Eulerian graphs ... - CORE
whether planar Eulerian graphs have A-trails, and (ii) deciding whether hypergraphs ... Johnson, Matching, Euler Tours and the Chinese Postman, Math. Program-.
Uncertain Hypergraphs: A Conceptual Framework and Some ... - MDPI
In terms of graph theory, Gao and Gao [24] defined the concept of the uncertain graph. Almost at the same time, Zhang and Peng studied the Euler tour ...
Euler Graph in Discrete Mathematics - Javatpoint
A graph will contain an Euler circuit if the starting vertex and end vertex are the same, and this graph visits each and every edge only once. So when we begin ...
Johnson, Matching, Euler tours and the Chinese postman, Math. Bogramming 5,. 1973, 88124. Fagin, R., Degrees of acyclicity for hypergraphs and relational ...