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Using edge cuts to find Euler tours and Euler families in hypergraphs.


Using edge cuts to find Euler tours and Euler families in hypergraphs

In this paper, we show how the problem of existence of an Euler tour (family) in a hypergraph H can be reduced to the analogous problem in some smaller ...

Using edge cuts to find Euler tours and Euler families in hypergraphs

Title:Using edge cuts to find Euler tours and Euler families in hypergraphs ... Abstract:An Euler tour in a hypergraph is a closed walk that ...

Using edge cuts to find Euler tours and Euler families in hypergraphs

Keywords: Hypergraph; Euler tour; Euler family; edge cut; edge cut assignment; col- lapsed hypergraph; algorithm. 1 Introduction. It is common ...

Using edge cuts to find Euler tours and Euler families in hypergraphs

In this paper, we show how the problem of existence of an Euler tour (family) in a hypergraph H can be reduced to the analogous problem in some ...

Using edge cuts to find Euler tours and Euler families in hypergraphs

Request PDF | On Oct 1, 2023, Mateja Šajna and others published Using edge cuts to find Euler tours and Euler families in hypergraphs | Find, read and cite ...

(PDF) Using edge cuts to find Euler tours and Euler families in ...

In this paper we study three substructures in hypergraphs that generalize the notion of an Euler tour in a graph. A flag-traversing tour of a hypergraph ...

Using edge cuts to find Euler tours and Euler families in hypergraphs.

Bibliographic details on Using edge cuts to find Euler tours and Euler families in hypergraphs.

Spanning Euler tours and spanning Euler families in hypergraphs ...

Moreover, we characterise hypergraphs with a vertex cut of cardinality at most two that admit a spanning Euler tour (family). This result enables us to reduce ...

(PDF) Spanning Euler tours and spanning Euler families in ...

Using edge cuts to find Euler tours and Euler families in hypergraphs · Mateja Šajna. Discrete Mathematics. downloadDownload free PDF View PDFchevron_right.

arXiv:1905.06459v1 [math.CO] 15 May 2019

There has been analogous work by other authors on hypergraphs with small vertex cuts. We reduce the problem of finding an Euler tour in a hypergraph to finding ...

Untitled

... with the Bridges ... Euler families -- in so-called design hypergraphs. ... edge cuts that can be used to recursively search for Euler tours in hypergraphs.

Euler Tours in Hypergraphs - ResearchGate

An Euler tour thus corresponds to an Euler family with a single component. We provide necessary and sufficient conditions for the existence of an Euler family ...

Publications

(with A. Wagner) Using edge cuts to find Euler tours and Euler families in hypergraphs, Discrete Math. 346 (2023), Paper No. 113537, 18 pp. (with A. Wagner) ...

On the relation between eulerian graph and eulerian hypergraph?

A hypergraph is called eulerian if it admits an euler tour which visits every hyperedge exactly once.

Mateja Šajna - Matilda

Using edge cuts to find Euler tours and Euler families in hypergraphs ... An Euler tour in a hypergraph is a closed walk that traverses each edge of the ...

Tight Euler tours in uniform hypergraphs - computational aspects

It is proved that the problem of deciding if a given $3$-uniform hypergraph has a tight Euler tour is NP-complete, and that it cannot be solved in time ...

CMS 75th+1 Anniversary Summer Meeting

Finding Euler tours and Euler families in hypergraphs via edge cuts [PDF]: An Euler tour of a hypergraph H is a closed walk that traverses each edge of H ...

Quasi-Eulerian Hypergraphs - The Electronic Journal of Combinatorics

show that every 3-uniform hypergraph without cut edges admits an Euler family. ... Let H = (V,E) be an eulerian hypergraph with a cut edge e. Then.

Bibliographies: 'Edge Cuts' – Grafiati

There has been analogous work by other authors on hypergraphs with small vertex cuts. We reduce the problem of finding an Euler tour in a hypergraph to finding ...

Minimal cut edges number in connected Eulerian graph.

Right to left: If every minimal cut has an even number of edges, then in particular the degree of each vertex is even.