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1.
Computing quadratic entropy in evolutionary trees
Drago Bokal, Matt DeVos, Sandi Klavžar, Aki Mimoto, Arne Ø. Mooers, 2011

Abstract: We note here that quadratic entropy, a measure of biological diversity introduced by Rao, is a variant of the weighted Wiener index, a graph invariant intensively studied in mathematical chemistry. This fact allows us to deduce some efficient algorithms for computing the quadratic entropy in the case of given tip weights, which may be useful for community biodiversity measures. Furthermore, on ultrametric phylogenetic trees, the maximum of quadratic entropy is a measure of pairwise evolutionary distinctness in conservation biology, introduced by Pavoine. We present an algorithm that maximizes this quantity in linear time, offering a significant improvement over the currently used quadratic programming approaches.
Keywords: teorija grafov, evolucijsko drevo, filogenetsko drevo, Wienerjev indeks, graph theory, evolutionary tree, phylogenetic tree, quadratic entropy, originality, distinctness, Wiener index
Published: 10.07.2015; Views: 402; Downloads: 53
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2.
Computing quadratic entropy in evolutionary trees
Drago Bokal, Matt DeVos, Sandi Klavžar, Aki Mimoto, Arne Ø. Mooers, 2011, original scientific article

Abstract: Kvadratična entropija, ki jo je vpeljal Rao, je mera za biološko raznolikost. V članku opazimo, da je kvadratična entropija inačica uteženega Wienerjevega indeksa, ki je po drugi strani intenzivno raziskovana grafovska invarianta v matematični kemiji. To dejstvo omogoča izpeljavo nekaj učinkovitih algoritmov za izračunavanje kvadratične entropije v primeru danih listnih uteži. Na ultrametričnih drevesih je Pavoine vpeljal maksimum kvadratičnih entropij kot mero za paroma evolucijsko različnost v ohranitveni biologiji. Predstavljamo algoritem, ki maksimizira to količino v linearnem času, kar je pomembna izboljšava glede na obstoječe kvadratične programske pristope.
Keywords: teorija grafov, evolucijsko drevo, filogenetsko drevo, kvadratična entropija, različnost, Wienerjev indeks, graph theory, evolutionary tree, phylogenetic tree, quadratic entropy, originality, distinctness, Wiener index
Published: 10.07.2015; Views: 348; Downloads: 58
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3.
Connection between the originality level of pupils' visual expression in visual arts lessons and their level of tolerance for diversity
Miroslav Huzjak, Martina Krajnc, 2017, original scientific article

Abstract: The aim of this research was to examine the connection between the originality level in children's expression during visual art lessons and their level of tolerance for difference. The participants comprised primary school pupils from grades one, two and three, a total of 110. It was confirmed that there was a statistically significant difference between the pupils who had an introduction to the lesson using the didactic model of visual problem-based teaching and those who had not. Learning and setting art terminology, the analysis of motifs and explanation, as well as demonstration of art techniques resulted in a higher level of creativity in visual performance, as well as a higher level of tolerance. It can be concluded that, with the proper choice of didactic models in teaching the visual arts, a wide range of pupil attitudes and beliefs can be improved.
Keywords: visual art, didactics, tolerance, originality, strereotype, children's drawing
Published: 16.11.2017; Views: 269; Downloads: 170
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