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- W1907842015 abstract "Let G be a graph. Denote by L i ( G ) its i -iterated line graph and denote by W ( G ) its Wiener index. Dobrynin, Entringer and Gutman stated the following problem: Does there exist a non-trivial tree T and i ≥ 3 such that W ( L i ( T )) = W ( T )? In a series of five papers we solve this problem. In a previous paper we proved that W ( L i ( T )) > W ( T ) for every tree T that is not homeomorphic to a path, claw K 1,3 and to the graph of letter H , where i ≥ 3. Here we prove that W ( L i ( T )) > W ( T ) for every tree T homeomorphic to the claw, T ≠ K 1,3 and i ≥ 4." @default.
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- W1907842015 date "2012-07-26" @default.
- W1907842015 modified "2023-10-17" @default.
- W1907842015 title "Wiener index of iterated line graphs of trees homeomorphic to the claw K_1,3" @default.
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- W1907842015 doi "https://doi.org/10.26493/1855-3974.250.d49" @default.
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