- Euler's Theorem for Regular CW|Complexes🔍
- Graph Theory🔍
- Mateja Sajna🔍
- What graphs have k|Eulerian circuits without backtracking?🔍
- GRAPH THEORY WITH APPLICATIONS🔍
- Andrew Wagner🔍
- The NP|completeness of finding A|trails in Eulerian graphs ...🔍
- Approximate Counting of Matchings in Sparse Uniform Hypergraphs🔍
Using edge cuts to find Euler tours and Euler families in hypergraphs.
Euler's Theorem for Regular CW-Complexes
... Euler tours and spanning Euler families in hypergraphs with particular ... Hypergraphs and Hypergraphs with Small Edge Cuts, Ph. D ...
Therefore W is a closed walk that contains all the edges of the graph, i.e. W is an. Eulerian tour. ... a hypergraph with k distinct edges e0,...,ek−1 containing ...
Using edge cuts to find Euler tours and Euler families in hypergraphs. ... Euler families in hypergraphs with particular vertex cuts ...
What graphs have k-Eulerian circuits without backtracking?
Now suppose there is some vertex v of degree 1, and say its only edge is e. At some point in the k-Eulerian circuit we must use the edge e ...
GRAPH THEORY WITH APPLICATIONS
of the edges incident with v are accounted for~ Since an Euler tour contains c. ALJ---------~iilUB. (0) o. ( b). Figure 4.1. The bridges of Konigsberg and their ...
... Hypergraphs | The Electronic Journal of ... Euler tour"/>
... hypergraph, for $k \ge 3$, admits an Euler family. Combinatorics. Preprint. 27 January 2021. Using edge cuts to find Euler tours and Euler families in ...
The NP-completeness of finding A-trails in Eulerian graphs ... - CORE
graph whose vertex set is the union of the edge set and the vertex set of the hypergraph, with edges representing incidencies. ... family of sets S is identified.
Approximate Counting of Matchings in Sparse Uniform Hypergraphs
complement of S must go through an edge of cut(S), we then have, for |S ... two or four and therefore, by Euler's theorem, there is an Eulerian tour Er in.
Colouring Hypergraphs Polychromatically
use Euler tour(s)!. Claim. Unless E' = δ(S) for some S, for a random F from the cycle space, |E' ∩ F| is even exactly ½ of the time. Finding 2-Edge Cuts? 2 ...
"Glossary of Terms in Combinatorics" - Douglas B. West's
Typically, G denotes a graph, D a directed graph, H a graph or hypergraph, P a poset, L a lattice, M a matroid. Also u, . . .,z are vertices or elements, uv is ...
The bipartite graph representation replaces both the vertices and hyperedges of the hypergraph with graph nodes, using graph edges to indicate incidence ...
Extremal aspects of graph and hypergraph decomposition problems
hope to find edge-disjoint(!) absorbers for each of them ... In this section, we consider Euler tours in hypergraphs. There are ...
Families of cuts with the MFMC-property | SpringerLink
Finding Cuts of Bounded Degree: Complexity, FPT and Exact Algorithms, and Kernelization ... Johnson, Matchings, Euler tours and Chinese postman,Math. Programming ...
Generic graphs (common to directed/undirected) - Graph Theory
You can get edges of the BFS tree instead of the vertices using the edges parameter: ... cut will be the edge with minimum value: Sage. sage: tree = graphs ...
If an edge of the Euler tour goes from v to w, put an edge in G0 ... Every 3-regular graph with no cut-edge has a perfect matching.
... Euler tours or the four coloring of a map, with no clear connection among them, or among techniques used to attach them. The aim was to get a “yes” or “no” ...
Circuits, Perfect Matchings and Paths in Graphs
... edge-cut with even times. A question would be asked naturally as follows. Question 1.3.3 Let G be a graph and ω : E(G) 7→ Z+ be an admissible and eulerian.
Using edge cuts to find Euler tours and Euler families in hypergraphs · M. ŠajnaAndrew Wagner. Mathematics, Computer Science. Discrete Mathematics. 2023. Add to ...
Finding Biconnected Componemts And Computing Tree Functions ...
In the paper we show how to use this. Euler tour technique in order to compute preorder and postorder numbering of the vertices of a tree,. 0272-5428/84/0000/ ...