Let $G$ be a undirected simple connected stick free graph having degree sum equal to $12$ is planar.
I don’t know what is stick free graph.
Can someone give some comments about it?
2026-03-30 10:19:48.1774865988
undirected simple connected stick free graph having degree sum equal to $12$ is planar.
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I've never heard of the term "stick free". In any case, it doesn't affect the result...
The condition "degree sum equal to 12" is the same as saying "has 6 edges" (since each edge has 2 endpoints), and all 6-edge graphs are planar. (A graph needs at least 9 edges to be non-planar; achieved by $K_{3,3}$.)