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Aouchiche–Hansen–Zheng conjecture on the Randić index and matching number
Aouchiche–Hansen–Zheng conjecture. One has
Conjecturerefutedgraph-theory matching-theory randi-c4-87-indexarXiv posted 2 days ago
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Conjecture on the roots of the parity-specific functions $g_0$ and $g_1$
Root-separation conjecture. For any $\alpha\the 2$ , $g_0(n,\alpha)=0$ has exactly one real root for $x\the(3,+\infty)$ . For any $\alpha>2$ , $g_1(n,\alpha)=0$ has at most one real r…
Conjectureopengraph-theory hamiltonian-graphs randi-c4-87-indexarXiv posted 2 days ago

Aouchiche–Hansen–Zheng conjecture on the Randić index and matching number