This article, published in the esteemed scientific journal Science, uses game theory and economic laboratory experiments with human subjects to study the impact of punishment on the evolution of co-operation between strangers. It is the first ever article in this journal by a researcher at a research institution in Slovenia that studies a social sciences topic.
COBISS.SI-ID: 1024190804
Dragan Stevanović published a scientific monograph Spectral Radius of Graphs (published Elsevier) dedicated to developments, proofs, and open problems for spectral graph theory.
COBISS.SI-ID: 1536992708
Bannai and Ito defined association scheme theory as doing ''group theory without groups'', thus raising a basic question as to which results about permutation groups are, in fact, results about association schemes? By considering transitive permutation groups in a wider setting of association schemes, it is shown that one such result is a generalisation from odd primes p to arbitrary prime powers p^n, of the classical theorem of Wielandt about primitive permutation groups of degree 2p, p ) 2 a prime, being of rank 3.
COBISS.SI-ID: 1024198996
This scientific discussion is published in the esteemed general mathematical journal Proc. Lond. Math. Soc. that ranks in A' (ARRS methodology). It solves the hamiltonicity problem for cubic Cayley graphs on groups with respect to genereting sets consisting of an involution, a non-involution of odd order and the inverse of this non-involution.
COBISS.SI-ID: 1024390740
The existing classification of evolutionarily singular strategies in Adaptive Dynamics (Geritz et al. in Evol Ecol 12:35–57, 1998; Metz et al. in Stochastic and spatial structures of dynamical systems, pp 183–231, 1996) assumes an invasion fitness that is differentiable twice as a function of both the resident and the invading trait. Motivated by nested models for studying the evolution of infectious diseases (Boldin, Diekmann: Journal of Mathematical Biology, Volume 56 (2008), Issue 5, pp. 635-672.), we consider an extended framework in which the selection gradient exists (so the definition of evolutionary singularities extends verbatim), but where the invasion fitness may lack the smoothness necessary for the classification à la Geritz et al. We derive the classification of singular strategies with respect to convergence stability and invadability and determine the condition for the existence of nearby dimorphisms. In addition to ESSs and invadable strategies, we observe what we call one-sided ESSs: singular strategies that are invadable from one side of the singularity but uninvadable from the other. Studying the regions of mutual invadability in the vicinity of a one-sided ESS, we discover that two isoclines spring in a tangent manner from the singular point at the diagonal of the mutual invadability plot. The way in which the isoclines unfold determines whether these one-sided ESSs act as ESSs or as branching points. We present a computable condition that allows one to determine the relative position of the isoclines (and thus dimorphic dynamics) from the dimorphic as well as from the monomorphic invasion exponent and illustrate our findings with an example from evolutionary epidemiology.
COBISS.SI-ID: 1024534868