In his paper Kings in Bipartite Hypertournaments (Graphs $\&$ Combinatorics 35, 2019), Petrovic stated two conjectures on 4-kings multipartite hypertournaments. We prove one of these and give counterexamples for the other.

A king u in a tournament is a player who beats any other player v directly or indirectly. That is, either u → v (u beats v) or there exists a third player w such that u→ w and w → v. A sorted sequence of kings in a tournament of n players is a sequence of players, S = (u1, u2, . . . , un), such that ui → ui+1 and ui in a king in sub-tournament Tui = {ui ,ui+1, . . . , un} for i = 1,2, . . . , n...

The paper examines Robert Filmer's arguments in defence of the divine right kings Patriarcha, or Natural Power Kings. Filmer argues that human beings are not born free by nature and, as a result, expected to obey kings/monarchs absolutely without questioning, due arbitrary power and bestowed upon kings. This position defended is antithetical notion natural freedom mankind John Locke other socia...

The kings of the Spanish Habsburg dynasty (1516-1700) frequently married close relatives in such a way that uncle-niece, first cousins and other consanguineous unions were prevalent in that dynasty. In the historical literature, it has been suggested that inbreeding was a major cause responsible for the extinction of the dynasty when the king Charles II, physically and mentally disabled, died i...

ALAN L. KOLATA Cities, and the larger political formations within which they are embedded, are dynamic congeries of political, economic, and social institutions that are shaped and reshaped by historical circumstance. This dynamism and mutability in the face of exogenou-s forces might suggest the impossibility of a coherent, general theory about the forms and forces of urban transformation of t...