- On Tours that contain all Edges of a Hypergraph🔍
- On tours that contain all edges of a hypergraph🔍
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- On tours that contain all edges of a hypergraph.🔍
- On Tours that Contain All Edges of a Hypergraph🔍
- On Tours that Contain All Edges of a Hypergraph.🔍
- Using edge cuts to find Euler tours and Euler families in hypergraphs🔍
- [1608.01040] Eulerian properties of hypergraphs🔍
On Tours that contain all Edges of a Hypergraph
On Tours that contain all Edges of a Hypergraph
A straightforward necessary condition for existence of an Euler tour in a k k -uniform hypergraph is |Vodd(H)|⩽(k−2)|E(H)| | V o d d ( H ) | ⩽ ( ...
On tours that contain all edges of a hypergraph
A k-uniform hypergraph H is strongly connected if it does not have isolated vertices and the graph G(H), whose vertex set is the set E(H) of ...
On tours that contain all edges of a hypergraph - CiteSeerX
A k-uniform hypergraph H is strongly connected if it does not have isolated vertices and the graph G(H), whose vertex set is the set E(H) of ...
View of On Tours that contain all Edges of a Hypergraph
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On tours that contain all edges of a hypergraph. - EUDML
Lonc, Zbigniew, and Naroski, Paweł. "On tours that contain all edges of a hypergraph.." The Electronic Journal of Combinatorics [electronic only] 17.1 (2010): ...
On Tours that Contain All Edges of a Hypergraph | Semantic Scholar
This paper further considers the problem of existence of an Euler tour in a certain class of $3$-uniform hypergraphs containing the class of strongly ...
On Tours that Contain All Edges of a Hypergraph. | Request PDF
Request PDF | On Tours that Contain All Edges of a Hypergraph. | Let H be a k-uniform hypergraph, k≥2. By an Euler tour in H we mean an alternating ...
On tours that contain all edges of a hypergraph. - Geodesic - Mathdoc
On tours that contain all edges of a hypergraph. Lonc, Zbigniew ; Naroski, Paweł. The Electronic Journal of Combinatorics [electronic only], Tome 17 (2010) ...
Using edge cuts to find Euler tours and Euler families in hypergraphs
In the process, new techniques of edge cut assignments and collapsed hypergraphs are introduced. Moreover, we describe algorithms based on these ...
Using edge cuts to find Euler tours and Euler families in hypergraphs
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. The case when G ...
[1608.01040] Eulerian properties of hypergraphs - arXiv
Abstract:In this paper we study three substructures in hypergraphs that generalize the notion of an Euler tour in a graph.
[PDF] Spanning Euler tours and spanning Euler families in ...
... every 3-uniform hypergraph without cut edges admits anEuler family. ... On Tours that Contain All Edges of a Hypergraph · Zbigniew LoncPawel Naroski.
Covering hypergraphs are Eulerian - Šajna - Wiley Online Library
We then show that every covering k $k$ -hypergraph, for k ≥ 3 $k\ge 3$ , admits an Euler tour if and only if it has at least two edges.
Spanning Euler tours and spanning Euler families in hypergraphs ...
Case (ii): T i is a spanning Euler tour of H i ′ or H i ∗ ∗ . Now the hypergraph contains an even number of copies of the edge S , so all of them are traversed ...
Euler tours in hypergraphs - School of Mathematics
Euler observed that if a (multi-)graph contains a closed walk which traverses every edge exactly once, then all the vertex degrees are even. He.
Topologies and sigma-algebras as "hypergraphs" containing an ...
On the other hand, Bollobás's Modern Graph Theory does not require all edges of a hypergraph to be nonempty, and so if you'd like to follow suit ...
Using edge cuts to find Euler tours and Euler families in hypergraphs
(ii) If H2 has an Euler family F2 such that for all e ∈ E(H2) we have that e is traversed in F2 via vertices in ϕ−1(e), then H1 has an Euler ...
Using edge cuts to find Euler tours and Euler families in hypergraphs
An Euler tour (family) is called spanning if it traverses every vertex of the hypergraph. In [6], Steimle and Šajna showed how to use certain vertex cuts to ...
Euler Tours in hypergraphs - School of Mathematics
Euler observed that if a (multi-)graph contains a closed walk which traverses every edge exactly once, then all the vertex degrees are even. He.
A linear time algorithm for finding an Euler walk in a strongly ...
In this paper we deal with k-uniform hypergraphs only, i.e. hypergraphs whose all edges have the same cardinality equal ... On tours that contain all edges of a ...