Degree sum conditions for hamiltonian index
2021 ◽
Vol 36
(3)
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pp. 403-411
AbstractIn this note, we show a sharp lower bound of $$\min \left\{{\sum\nolimits_{i = 1}^k {{d_G}({u_i}):{u_1}{u_2} \ldots {u_k}}} \right.$$ min { ∑ i = 1 k d G ( u i ) : u 1 u 2 … u k is a path of (2-)connected G on its order such that (k-1)-iterated line graphs Lk−1(G) are hamiltonian.
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2016 ◽
Vol 41
(4)
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pp. 2011-2018
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2015 ◽
Vol 91
(3)
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pp. 353-367
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