benchmarks.wiki / Public workspace
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Omni-MATH / A vertex-induced subgraph is a subset of the vertices of a graph together with…
Problem
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problem
A vertex-induced subgraph is a subset of the vertices of a graph together with any edges whose endpoints are both in this subset. An undirected graph contains 10 nodes and edges, with no loops or multiple edges. What is the minimum possible value of such that this graph must contain a nonempty vertex-induced subgraph where all vertices have degree at least 5?
Plain-text mathematical notation (without MathML)
A vertex-induced subgraph is a subset of the vertices of a graph together with any edges whose endpoints are both in this subset. An undirected graph contains 10 nodes and m edges, with no loops or multiple edges. What is the minimum possible value of m such that this graph must contain a nonempty vertex-induced subgraph where all vertices have degree at least 5?
Original LaTeX notation
A vertex-induced subgraph is a subset of the vertices of a graph together with any edges whose endpoints are both in this subset. An undirected graph contains 10 nodes and $m$ edges, with no loops or multiple edges. What is the minimum possible value of $m$ such that this graph must contain a nonempty vertex-induced subgraph where all vertices have degree at least 5?
Discussion
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Source and history
- task_id
ebc0c3bc-80f5-5832-8377-5ae8d7c44226- task_key
test--ebc0c3bc-80f5-5832-8377-5ae8d7c44226- task_revision_id
- 1
- config / split
- / test
initial import