MathDBThe star conjecture for big vertices in minimal-ABC trees
The star conjecture for big vertices in minimal-ABC trees
Let a minimal-ABC tree be a tree minimizing the atom-bond-connectivity index, and call its vertices of degree greater than one big vertices. Consider the subgraph induced by all big vertices.
Star conjecture. The subgraph of a minimal-ABC tree induced by its big vertices is a star.
This conjecture is attributed in the paper to earlier work and concerns the global structure of minimal-ABC trees. The supplied text gives no resolution status, so it remains open in this database.
Sources & referencesView supporting material
Primary source
Darko Dimitrov and Zhibin Du, “Complete characterization of the minimal-ABC trees”, arXiv:2110.14712 (2022).
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