On graphs whose square have strong hamiltonian properties

The square of every two-connected graph is Hamiltonian

Herbert Fleischner · Journal of Combinatorial Theory Series B · 1974 · 180 citations

Natural Sciences, Mathematics, Condensed Matter Physics +7

Trees with Hamiltonian square

Frank Harary, Allen J. Schwenk · Mathematika · 1971 · 76 citations

Natural Sciences, Mathematics, Combinatorics +5

In the square of graphs, hamiltonicity and pancyclicity, Hamiltonian connectedness and panconnectedness are equivalent concepts

Herbert Fleischner · Monatshefte für Mathematik · 1976 · 49 citations

Natural Sciences, Computer Science, Mathematics +12

The square of a block is Hamiltonian connected

Gary Chartrand, Arthur M. Hobbs, H. A. Jung et al. · Journal of Combinatorial Theory Series B · 1974 · 47 citations

Natural Sciences, Mathematics, Physics +8

The square of a block is vertex pancyclic

Arthur M. Hobbs · Journal of Combinatorial Theory Series B · 1976 · 36 citations

Natural Sciences, Computer Science, Mathematics +6