Split world

A View of the World from a Split - Brain Perspective

[Work organization of the Civic Hospital in Split during the Second World War (1941-1945)].

In the first half of the 20th century, Civic Hospital in Split intensified its formation towards health institution in the modern sense. The need for competent physicians and specialized experts, heads of the individual hospital departments, also became in Split Hospital the part of the global process of disintegration of medicine into the direction of medical specializations. The aim of this s...

Split-critical and uniquely split-colorable graphs

The split-coloring problem is a generalized vertex coloring problem where we partition the vertices into a minimum number of split graphs. In this paper, we study some notions which are extensively studied for the usual vertex coloring and the cocoloring problem from the point of view of split-coloring, such as criticality and the uniqueness of the minimum split-coloring. We discuss some proper...

A KIND OF F-INVERSE SPLIT MODULES

Let M be a right module over a ring R. In this manuscript, we shall study on a special case of F-inverse split modules where F is a fully invariant submodule of M introduced in [12]. We say M is Z 2(M)-inverse split provided f^(-1)(Z2(M)) is a direct summand of M for each endomorphism f of M. We prove that M is Z2(M)-inverse split if and only if M is a direct...

Split digraphs

We generalize the class of split graphs to the directed case and show that these split digraphs can be identified from their degree sequences. The first degree sequence characterization is an extension of the concept of splittance to directed graphs, while the second characterization says a digraph is split if and only if its degree sequence satisfies one of the Fulkerson inequalities (which de...