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3
questions
4
votes
3
answers
663
views
Does an $(x, bx)$-biregular graph always contain a $x$-regular bipartite subgraph?
I guess a discrete-mathematics-related question is still welcome in MO since I was new to the community and learned from this amazing past post. The following claim is a simplified and abstract form ...
- 43
0
votes
0
answers
38
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Minimal m such that m x K_n is decomposable into disjoint C_3
For a given $n$, is there a way to calculate the minimal value $m$ such that you can decompose the multigraph:
$$m \times K_n$$
into disjoint 3-cycles?
What about a more general result applied to ...
- 101
0
votes
0
answers
90
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Steiner-like systems with large edges and many intersections
Let $l\geq 3$ be an integer. Is there $n\in\mathbb{N}$ and a hypergraph $H=(\{1,\ldots,n\},E)$ with the following properties?
for all $e\in E$ we have $|e| \geq l$
$e_1\neq e_2 \in E \implies |e_1 \...
- 44.5k