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- W2067939157 abstract "Let G be an undirected connected graph that is not a path. We define h(G) (respectively, s(G)) to be the least integer m such that the iterated line graph Lm(G) has a Hamiltonian cycle (respectively, a spanning closed trail). To obtain upper bounds on h(G) and s(G), we characterize the least integer m such that Lm(G) has a connected subgraph H, in which each edge of H is in a 3-cycle and V(H) contains all vertices of degree not 2 in Lm(G). We characterize the graphs G such that h(G) — 1 (respectively, s(G)) is greater than the radius of G." @default.
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- W2067939157 date "1990-07-01" @default.
- W2067939157 modified "2023-09-23" @default.
- W2067939157 title "Hamilton cycles and closed trails in iterated line graphs" @default.
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- W2067939157 doi "https://doi.org/10.1002/jgt.3190140308" @default.
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