In this paper we explore a way of securing a secret inside a graph by observing pieces of the secret as colors assigned to the graph vertices. If a graph allows a highly (a, b)-resistant k-multicoloring then a secret can be divided into k parts and sets of those parts distributed to the vertices of the graph so that no a attackers can steal the secret, and when a attackers and b malfuntioning vertices leave the graph, the secret is still whole in the remaining graph. In this paper we explore how many vertices a graph must have in order to allow a highly (3, 1)-resistant k-multicoloring, and what is the minimal number of colors, for graphs that do allow such multicoloring.

. Complex networks are often used to model objects and their relations. Network descriptors are graph-theoretical invariants assigned to graphs that correspond to complex networks. Transmission and betweenness centrality are well known network descriptors and networkness and network surplus have been recently analyzed. All these four descriptors are based on the unrealistic assumption about equal communication between all vertices. Here, we amend this by assuming that vertices on the distance larger then one communicate less than those that are neighbors. We analyze network descriptors for all possible values of the factor α that measures reduction in the communication of the vertices that are not neighbors. We term these descriptors one-alpha descriptors and determine their extremal values.

Networks (or graphs) appear as dominant structures in different domains, including sociology, biology, neuroscience and computing. In most cases, these graphs are directed which changes the semantics of the edges that are no longer symmetrical in the sense that the beginning vertex transfers some property or value to the end vertex, but not vice versa. Detecting community structure in complex networks is an interdisciplinary topic with many relevant areas of application. In order to detect communities in directed acyclic networks, apart from the direction of the edge, the requirement for topological ordering of the vertices should be taken into account. In other words, if the vertices are topologically order is such a way that x1 < x2 < ... < xn we are interested in dividing the network into communities C1, C2, ..., Ck in such a way that: if xi < xj , xi ∈ Ci, xj ∈ Cj then Ci < Cj or Ci = Cj We present an algorithm derived from LPA algorithms which are commonly used in network detection, mostly because of their quick computational time and fairly good results. They were originally developed for undirected networks, but have been modified for this purpose.

High-grade metamorphic soles in NE Bosnia and Herzegovina make part of the Krivaja-Konjuh ophiolite complex (KKOC), which is one of the most important constituents of the Jurassic ophiolite melange of the Central Dinarides. Several rock types were distinguished within the investigated metamorphic suite - sapphirine and corundum amphibolites, garnet-clinopyroxene±orthopyroxene amphibolites, clinopyroxene±garnet amphibolites, amphibolites per se and clinopyroxene+plagoclase±garnet gneisses.Peak temperature and pressure conditions calculated from different mineral pairs were estimated to range between 850 and 1100°C at 1.1 to 1.3 GPa. A prograde multi-stage metamorphic history of analyzed rocks was followed by the post-peak relaxation witnessed in decomposing porphyroblasts of garnet and ubiquitous formation of amphibole and orthopyroxene rims around clinopyroxene. The whole-rock chemical composition of magmatic protoliths largely defines it as cumulates from supra-subduction zones and scarcely as MORB-like tholeiitic mafic extrusives. Their origin is linked to near-ridge crust generation of a back-arc basin. Following the Middle Jurassic contraction of Neotethyan a portion of these rocks was likely entrained in an incipient subduction/thrusting system characteristic for the formation of metamorphic soles. According to geological evidences, and most notably, the age of radiolarians taken from KKOC basalts, the formation of metamorphic sole rocks must have followed a rapid transition in the Dinaridic Neotethys geotectonic setting before its final obduction onto the Adria margins in the next 15 Ma before the end of Jurassic.

Surveying is an undisputed link in the chain of professions that participate in the realization of projects for the construction of various buildings and structures. Different stages of construction require the engagement of geodesists in a different range. The process of construction of the pillar of the viaduct "Briješće" required the collaboration of a large number of experts of various profiles, among which is a geodetic expert. The paper contains a detailed description of geodetic works in the construction of the viaduct pillar, starting from the establishment of the control network to the final control of the pillar construction.

<p style="text-align: justify;">Contraction is a part of a wind tunnel that has the greatest impact on the air flow quality in the test section. The constriction ratio, the cross section shape, the length and wall shape are constructive parameters that influence the uniformity of the flow, the flow turbulence intensity, the flow rotation angularity, the appearance of the flow separation and the thickness of the fluid flow boundary layer in the test section. For this reason, it is very<br />important to choose the optimal combination of the mentioned contraction design parameters. In this paper, an analysis of five different contours of the contraction wall was performed for the square outlet cross-section Ao=0.64 m2, the constriction ratio CR=4 and the contraction length L=1.88 m. With the computer code of Flow Simulation, 25 numerical simulations were performed and the obtained results were analyzed.</p>