We consider the zeros of partition function Ising model with ferromagnetic pair interactions and complex external field. Under assumption that graph strictly positive is connected, we vary interaction (denoted by $t$) at a fixed edge. It already known each zero monotonic (either increasing or decreasing) in $t$; prove its motion local: entire trajectories any two distinct are disjoint. If under...

Depression after coronary artery bypass graft (CABG) surgery is common (up to 40%) and increases risk of cardiac morbidity and mortality in the first year by more than two fold. However, current scarcity of data on etiopathogenesis of post-CABG depression hampers development of prevention or treatment strategies of post-CABG depression. “Vascular Depression” hypothesis posits that cerebrovascul...

Motivated by a problem in computer architecture we introduce a notion of the perfect distance-dominating set, PDDS, in a graph. PDDS s constitute a generalization of perfect Lee codes, diameter perfect codes, as well as other codes and dominating sets. In this paper we initiate a systematic study of PDDS s. PDDS s related to the application will be constructed and the non-existence of some PDDS...