Sir Richard Osborne, 1st Baronet [SEP] noble title
Sir Richard Osborne, 1st Baronet
Sir Richard Osborne, 1st Baronet, MP (1593 - 1666/67) was an Irish baronet, lawyer and politician.
Biography.
Osborne served as Clerk of the King's Court of Ireland between 1616 and 1629 before being created a baronet in the Baronetage of Ireland "of Ballintaylor and Ballylemon, County Waterford", on 15 October 1629.
Sir Richard sat as a Member of Parliament for Waterford County being returned to the Irish House of Commons between 1639 and 1649, and between
planar cubic hypohamiltonian graph: the graph he constructs includes a 4-edge face adjacent to four 7-edge faces, and all other faces have five or eight edges. In order to satisfy Grinberg's theorem, a Hamiltonian cycle would have to separate one of the 4- or 7-edge faces from the other four, which is not possible.
Limitations.
There exist planar non-Hamiltonian graphs in which all faces have five or eight sides. For these graphs, Grinberg's formula taken modulo three is always satisfied by any partition of the