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1.
Median graphs, the remoteness function, periphery transversals, and geodetic number two
Kannan Balakrishnan, Boštjan Brešar, Manoj Changat, Wilfried Imrich, Sandi Klavžar, Matjaž Kovše, Ajitha R. Subhamathi, 2008

Opis: Periferna transverzala medianskega grafa ▫$G$▫ je vpeljana kot množica vozlišč, ki zadane vse periferije grafa $G$. S pomočjo tega koncepta so na dva različna načina karakterizirani medianski grafi z geodetskim številom 2. To so natanko tisti medianski grafi, ki vsebujejo periferno transverzalo moči 2, kot tudi medianski grafi, za katere obstaja takšen profil, da je funkcija oddaljenosti konstantna na ▫$G$▫. Predstavljen je tudi algoritem, ki v času ▫$O(m log n)$▫ odloči, ali je dani graf z ▫$n$▫ vozlišči in ▫$m$▫ povezavami medianski graf z geodetskim številom 2. Dobljenih je še več nadaljnjih lastnosti funkcije oddaljenosti na hiperkockah in medianskih grafih. Navedenih je tudi nekaj odprtih problemov.
Ključne besede: medianski graf, medianska množica, funkcija oddaljenosti, geodetsko število, periferna transverzala, median graph, median set, remoteness function, geodetic number, periphery transverzal, hypercube
Objavljeno: 10.07.2015; Ogledov: 418; Prenosov: 11
URL Povezava na celotno besedilo

2.
On the remoteness function in median graphs
Kannan Balakrishnan, Boštjan Brešar, Manoj Changat, Wilfried Imrich, Sandi Klavžar, Matjaž Kovše, Ajitha R. Subhamathi, 2009, izvirni znanstveni članek

Opis: Profil grafa ▫$G$▫ je poljubna neprazna multimnožica vozlišč iz ▫$G$▫. Pripadajoča funkcija oddaljenosti priredi vsakemu vozlišču iz ▫$V(G)$▫ vsoto razdalj do vozlišč iz profila. Najprej so dobljene nekatere uporabne lastnosti funkcije oddaljenosti na hiperkockah, nato pa je funkcija oddaljenosti obravnavana na poljubnih medianskih grafih glede na njihove izometrične vložitve v hiperkocke. V posebnem je najdena povezava med vozlišči medianskega grafa ▫$G$▫, katerega funkcija oddaljenosti je največja (antimedianska množica v ▫$G$▫), z antimediansko množico pripadajoče hiperkocke. Medtem ko je za lihe profile antimedianska množica neodvisna množica, ki leži na strogem robu medianskega grafa, obstajajo medianski grafi, v katerih določeni sodi profili porajajo konstantno funkcijo oddaljenosti. Take medianske grafe karakteriziramo na dva načina: kot grafe, katerih periferna transverzala je 2, in kot grafe z geodetskim številom 2. Nazadnje predstavimo algoritem, ki za dani graf ▫$G$▫ z ▫$n$▫ vozlišči in ▫$m$▫ povezavami v času ▫$O(m log n)$▫ odloči, ali je ▫$G$▫ medianski graf z geodetskim številom 2.
Ključne besede: hiperkocka, medianski graf, medianska množica, funkcija oddaljenosti, geodetsko število, periferna transverzala, median graph, median set, remoteness function, geodetic number, periphery transverzal, hypercube
Objavljeno: 10.07.2015; Ogledov: 411; Prenosov: 70
URL Povezava na celotno besedilo

3.
Arboreal structure and regular graphs of median-like classes
Boštjan Brešar, 2003, izvirni znanstveni članek

Opis: We consider classes of graphs that enjoy the following properties: they are closed for gated subgraphs, gated amalgamation and Cartesian products, and for any gated subgraph the inverse of gate function maps vertices to gated subsets. We prove that any graph of such a class contains a peripheral subgraph which is a Cartesian product of two graphs: a gated subgraph and a prime graph minus a vertex. Therefore, these graphs admit a peripheral elimination procedure which is a generalization of analogous procedure in median graphs. We characterize regular graphs of these classes whenever they enjoy an additional properties. As a corollary we derive that regular weakly median graphs are precisely Cartesian products in which each factor is a complete graph or a hyperoctahedron.
Ključne besede: mathematics, graph theory, median graph, tree, gatedness, amalgam, periphery, regular graph
Objavljeno: 31.03.2017; Ogledov: 261; Prenosov: 199
.pdf Celotno besedilo (127,35 KB)
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4.
The periphery graph of a median graph
Boštjan Brešar, Manoj Changat, Ajitha R. Subhamathi, Aleksandra Tepeh, 2010, izvirni znanstveni članek

Opis: The periphery graph of a median graph is the intersection graph of its peripheral subgraphs. We show that every graph without a universal vertex can be realized as the periphery graph of a median graph. We characterize those median graphs whose periphery graph is the join of two graphs and show that they are precisely Cartesian products of median graphs. Path-like median graphs are introduced as the graphs whose periphery graph has independence number 2, and it is proved that there are path-like median graphs with arbitrarily large geodetic number. Peripheral expansion with respect to periphery graph is also considered, and connections with the concept of crossing graph are established.
Ključne besede: mathematics, graph theory, median graph, Cartesian product, geodesic, periphery, peripheral expansion
Objavljeno: 31.03.2017; Ogledov: 576; Prenosov: 231
.pdf Celotno besedilo (145,86 KB)
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5.
Diversification of tourism offer as a means of socio-economic development of peripheral regions
Ranko Mirić, Nusret Drešković, Boris Avdić, 2016, izvirni znanstveni članek

Opis: Many modern countries have significant problems with disparities in development between core and periphery. Municipality of Kupres in Bosnia and Herzegovina is one typical example of peripheral area, which is located within the sparsely populated region of Dinaric Karst Highland. It is taken for the case study in this paper, because it shows certain signs of economic activation in the field of tourism. However, its mainstream tourism offer is of seasonal character, and it is not sufficient for sustainable economic growth and significant progress in socio-economic sense. That is why tourism offer need to become more diversified. Methodology in this paper is focused on analysis of all potentials and motives that wider area of Kupres possesses, which can be valorized through systematic approach of institutions and local community. It is intended to emphasize a significance of geographical expertise in these kinds of problematic. Field research and GIS analysis are used for exploration of study area.
Ključne besede: Kupres, periphery, tourism offer, ski resort, rural tourism, ecotourism
Objavljeno: 17.04.2018; Ogledov: 372; Prenosov: 49
.pdf Celotno besedilo (411,47 KB)
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6.
Terrorism
Renato Matić, Anita Dremel, Mateja Šakić, 2015, izvirni znanstveni članek

Opis: Purpose: The aim of this paper is to analyze the origin of different interpretations of the events connected with terrorism, with special emphasis put on different interpretations of causes and consequences of terrorism. The objective is to show that the same logic has perpetrated the causes of the problem and is being used to solve it. Design/Methods/Approach: This research into the social causes of terrorism leans against a critical theoretical perspective and uses a historical comparative method aimed at deconstructing some taken-for-granted perspectives regarding terrorism and its actors. It brings the understanding of the causes of terrorism into connection with the history of mutual relationships between today's main actors of global terrorism and anti-terrorism in the wish to explain the consequences of terrorism as resulting from the stable and continued relationship between the main actors. Findings: The analysis has shown that current approaches to dealing with the problem of terrorism are so strikingly unsuccessful because, among other reasons, they rely on the same logic that led to the problem in the first place and thus cannot be used to solve the problem. Current power relations between the actors of “terrorism” and “anti-terrorism” point to the need for a possible alternative approach to preventing the mutually complementing “terrorist” and “anti-terrorism” violence. Originality/Value: The greatest value of this analysis is that it offers a view of the problem of terrorism based in the tradition of sociological theory, particularly that of deviance, serving thus as an important complement to more customary criminalist, criminological, psychological and legal perspectives. Without such historically grounded and sociologically informed approach, critical perspective would not be possible.
Ključne besede: terrorism, colonialism, center, periphery, the logic of power, power relations
Objavljeno: 16.04.2020; Ogledov: 34; Prenosov: 5
.pdf Celotno besedilo (340,95 KB)
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