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Abstract: Motivated by the success of domination games and by a variation of the coloring game called the indicated coloring game, we introduce a version of domination games called the indicated domination game. It is played on an arbitrary graph $G$ by two players, Dominator and Staller, where Dominator wants to finish the game in as few rounds as possible while Staller wants just the opposite. In each round, Dominator indicates a vertex $u$ of $G$ that has not been dominated by previous selections of Staller, which, by the rules of the game, forces Staller to select a vertex in the closed neighborhood of $u$. The game is finished when all vertices of $G$ become dominated by the vertices selected by Staller. Assuming that both players are playing optimally according to their goals, the number of selected vertices during the game is the indicated domination number, $\gamma_{\rm i}(G)$, of $G$. We prove several bounds on the indicated domination number expressed in terms of other graph invariants. In particular, we find a place of the new graph invariant in the well-known domination chain, by showing that $\gamma_{\rm i}(G)\ge \Gamma(G)$ for all graphs $G$, and by showing that the indicated domination number is incomparable with the game domination number and also with the upper irredundance number. In connection with the trivial upper bound $\gamma_{\rm i}(G)\le n(G)-\delta(G)$, we characterize the class of graphs $G$ attaining the bound provided that $n(G)\ge 2\delta(G)+2$. We prove that in trees, split graphs and grids the indicated domination number equals the independence number. We also find a formula for the indicated domination number of powers of paths, from which we derive that there exist graphs in which the indicated domination number is arbitrarily larger than the upper irredundance number. We provide some partial results supporting the statement that $\gamma_{\rm i}(G)=n(G)/2$ if $G$ is a cubic bipartite graph, and leave this as an open question.
Keywords: domination game, indicated coloring, independence number, upper domination number
Published in DiRROS: 16.05.2024; Views: 478; Downloads: 320
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Abstract: Microplastics (MPs), defined as plastic particles measuring less than 5 mm, are considered an emerging pollutant. Their presence in the water cycle and their interaction with ecological processes pose a significant environmental threat. As groundwater (GW) represents the primary source of drinking water, monitoring MPs in GW and investigating their potential sources and pathways is of urgent importance. This article offers a comprehensive overview of the primary contamination pathways of MPs from surface water, seawater, and soil into the GW. Moreover, it presents an examination of the occurrence of MPs in GW and identifies the challenges associated with their monitoring in GW. This study also discusses the difficulties associated with comparing research results related to MPs in GW, as well as indicating the need for implementing standardised techniques for their sampling and detection. On the basis of our experience and the literature review, we highlight the importance of understanding the specific hydrogeological and hydrogeographic conditions, collecting representative samples, using sampling devices with comparable specifications and comparable laboratory techniques for MP identification, and preventing contamination at all stages of the monitoring process. This review offers valuable insights and practical guidelines on how to improve the reliability and comparability of results between studies monitoring MPs in GW.
Keywords: microplastics, groundwater, sampling, monitoring, aquifer, borehole
Published in DiRROS: 15.05.2024; Views: 412; Downloads: 259
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Abstract: Skrivna zgodovinska kontrakultura domnevno predkrščanskih naravovercev v zahodni Sloveniji je bila globoko duhovno povezana z zrakom, vodo, ognjem in prstjo, temelji njihovega življenjskega sveta. V 20. stoletju so politični procesi v prostoru, kjer so naravoverci na skrivaj preživeli med nestrpnimi kristjani, močno preoblikovali njihove elementalne prakse in pripeljali do razpada njihove skupnosti. Gradnja železnice še v času avstro-ogrske je uničila najpomembnejše naravoversko svetišče. Prva svetovna vojna je zaradi topniškega obstreljevanja na soški fronti povzročila tolikšno preobremenitev prsti s kovinami, da je propadel sistem naravoverskih prostorskih triad – tročanov –, ki so zagotavljali rodovitnost zemlje in varnost skupnosti. V času medvojne okupacije Primorske je fašistična italijanska oblast prepovedala kurjenje kresov in tako preprečila najpomembnejše naravoverske skupne obrede. Italijanska oblast je zgradila tudi prve hidroelektrarne in jezove, ki so oskrunili sveto reko Sočo. Intenzivna industrializacija in ekstraktivizem v obdobju socialistične Jugoslavije po letu 1945 sta povzročila nadaljnje onesnaženje zraka, vode in prsti ter usodno predrugačila naravo, ki so jo naravoverci strahospoštljivo častili kot božanstvo. Elementarna degradacija zaradi »razvoja« in »napredka« na Primorskem v 20. stoletju tako ni imela neposrednega vpliva le na naravo, temveč tudi na zanikano, od narave neločljivo in odvisno kulturo. Naravoverci zaradi prikrivanja niso imeli možnosti za zaščito dragocenega elementalnega skupnega dobrega. Do konca 20. stoletja so bili elementalni temelji njihove kulture nepovratno izgubljeni in s tem tudi primorsko naravoverstvo.
Keywords: elementalna politika, naravoverstvo, Primorska, naravni elementi, zgodovina
Published in DiRROS: 14.05.2024; Views: 448; Downloads: 196
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Abstract: The article contends that respiratory philosophy has, thus far, laid predominant stress upon the empirical form of breathing, as opposed to the transcendental; or at least it has used breath precisely as an occasion to elide or deconstruct this very opposition. Breath is then conceived primarily as material, bodily, and natural: as binding us together with the animals and with all living things.and yet this apparently benign ecological gesture is not without its deleterious side-effects: by contrasting this gesture with a more humanistic and transcendental conception of breath, inspired by Giorgio agamben’s work on the voice, we might begin to gain some clarity as to the jarring contrast that sprang up between the friendly valorisation of a shared con-spiration that has characterised this young philosophy up to now, and the intense, even violent, hostility to the breath of the other which the developed world exhibited from at least 2020 to 2022.We consider whether an overly empiricistic conception of breath and of the human might have played a part in this reversal of values. In conclusion, the article urges upon us a certain turn towards the transcendental form of the breath, and indeed to a certain human exceptionalism in this regard.
Keywords: Agamben, language, voice, breath, animal, human, humanism, transcendental, empirical, masks, stifling, identity, invisibility, virus, pandemic
Published in DiRROS: 14.05.2024; Views: 479; Downloads: 307
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Abstract: Breath is a grounding phenomenon present in many forms of Buddhist medi-tation. In traditional Buddhist meditations (including ānāpānasati and vipassanā), the practitioner observes the breath, surveys various physical and mental phenom-ena, and from there realizes that suffering (duḥkha) is not ultimately binding (and along the way, they may experience the nonduality of body and mind). Similarly, the seated meditation practice (zazen) deployed by Rinzai Zen begins with atten-tion to breath, refines one’s attention to psycho-physical sensations, and fosters a realization of mind-body unity that enables the practitioner to face duḥkha. But this form of Zen recasts the respiratory philosophy of early Buddhism in some important respects. This paper explores how these adaptations take place in terms of an explicitly somaesthetic orientation. Emphasizing the postural form of the body, the capacity to sense the pull of gravity, and the performance of breathing from the hara (lower belly), zazen seeks to awaken the somatic body by transform-ing the weight of suffering into nondual, vital energy.
Keywords: zazen, duḥkha, gravity, grief, somaesthetics, hara, breathing
Published in DiRROS: 14.05.2024; Views: 382; Downloads: 280
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