2 problems

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The conjecture that $B_3$ -branches are the main structural component of ABC-minimal trees
The $B_3$ -branch structural conjecture. $B_3$ -branches are the main structural component of ABC-minimal trees.
Conjectureopenabc-index extremal-trees graph-theoryarXiv posted 2 days ago
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Gutman–Furtula revised conjecture on trees with minimal ABC index
Let $G$ be a tree with minimal atom-bond connectivity (ABC) index among all trees of size $n$ . The trees $T_0,T_1,T_2,T_3,T_4,T_5,T_6$ are the structures depicted in Figure. Gutman…
Conjectureopenabc-index chemical-graph-theory graph-theoryarXiv posted 2 days ago

The conjecture that B3B_3B3​-branches are the main structural component of ABC-minimal trees