- Minimizing External Vertices in Hypergraph Orientations⋆🔍
- Connection and separation in hypergraphs🔍
- Euler Tours in Hypergraphs🔍
- Coloring and Covering – Geometric Graphs and Hypergraphs🔍
- The Computer Scientist's Guide to Graph Theory🔍
- 3|Uniform 4|Path Decompositions of ...🔍
- On 3|uniform hypergraphs without linear cycles🔍
On Tours that contain all Edges of a Hypergraph
Minimizing External Vertices in Hypergraph Orientations⋆
A graph is just a hypergraph whose hyperedges have all cardinality two. ... edges of the form 1vi,vi+kl ... tours and the Chi- nese postman. Mathematical.
Connection and separation in hypergraphs
A hypergraph H is regular of degree r. (or r-regular) if every vertex of H has degree r. The maximum (minimum) cardinality |e| of any edge e ∈ E is called the ...
(PDF) Using edge cuts to find Euler tours and Euler families in ...
... edge cuts of any size, and hence to all hypergraphs, as every non-trivial hypergraph has an edge cut. In addition, we introduce new elegant techniques of edge ...
Euler Tours in Hypergraphs | CoLab
We show that a quasirandom k-uniform hypergraph G has a tight Euler tour subject to the necessary condition that k divides all vertex degrees.
Coloring and Covering – Geometric Graphs and Hypergraphs - KIT
... hypergraph is pruned as to contain only the hyperedges of a ... And the third set contains all remaining edges, i.e., every crossed edge with ...
The Computer Scientist's Guide to Graph Theory, ep. 03
Eulerian tours are, intuitively, just paths that contain all edges exactly once. They are named after Leonard Euler, the most influential ...
3-Uniform 4-Path Decompositions of ... - ScholarWorks@UARK
If every edge in a hypergraph contains exactly k vertices, we say that it is k-uniform. Thus, a graph can also be called a 2-uniform hypergraph. The number.
13.1: Euler Tours and Trails - Mathematics LibreTexts
By Theorem 13.1.1, the fact that G∗ has an Euler tour means that every vertex of G∗ has even valency. Now, the vertices of G all have the same ...
On 3-uniform hypergraphs without linear cycles
Clearly, every edge of T has exactly one pair opposite to v. A skeleton T in H is a non-trivial subtree which cannot be extended to a larger subtree by ...