28 research outputs found

    On general Sombor index

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    We present the bounds in terms of other important graph parameters for general Sombor index which generalises both the forgotten index and the Sombor index. We also explore the Nordhaus-Gaddum-type result for the general Sombor index. We present further the relations between general Sombor index and other generalised indices: general Randi\'c index and general sum-connectivity index

    On Sombor coindex of graphs

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    Motivated by the recently introduced topological index, the Somber index, we define a new topological index of a graph in this paper, we call it Sombor coindex. The Sombor coindex is defined by considering analogous contributions from the pairs of non-adjacent vertices, capturing, thus, and quantifying a possible influence of remote pairs of vertices. We give several properties of the Somber coindex and its relations to the Sombor index, the Zagreb (co)indices, forgotten coindex and other important graph parameters. We also compute the bounds of the Somber coindex of some graph operations and compute the Sombor coindex for some chemical graphs as an application

    Magnetic Properties of Ti4+ Substituted Li-Zn Ferrites

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    Status Report on displacement in Assam and Manipur

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    "While inter-ethnic conflicts have by no means been rare in India’s Northeast, population displacement induced by such conflicts is sharply on the rise particularly since the 1980s. Conflicts and violence confined in the past mainly to the armed groups and the security forces of the state seldom triggered off population displacement of such scale and magnitude as one notices now. It is important that we take note of the changing dynamics of conflicts and violence in the region. Conflicts today have acquired a truly mass character in the sense that they show an alarming propensity of engulfing an ever-greater number of people involved in them. In this situation, it is ironic that the two rights of home and homeland run at cross-purposes. This has its implications for the politics, ecology and topography of the region. Mixed areas with historically practised exchanges and transactions between communities are at peril. And, thus for instance, never before in its history has Manipur been so much divided as it is now. Internal displacements sparked off by conflicts are a product of many a hidden partition in the society seldom officially acknowledged. This study on fifty years of population displacement in Manipur tells us the story of a society that has hit almost a blind alley with little clue as to how to cross the divides and negotiate its rapidly changing ethnic landscape. We need to complement it with many other stories. As various stories marked by these divides unfold, they reveal a surprisingly similar structure – a structure that constantly reminds us of how violence once initiated eventually gathers its own momentum and takes its toll on each one of us – big or small, powerful or powerless. The essay on Assam prods us to think in terms of formulating an agenda that takes us beyond the given fault lines. It underlines the need for dialogues as a means of addressing the issues of rights and justice. We cannot ignore the fact that the development-induced displacement against this backdrop of ethnic tensions has complicated the problem related to rights and justice in India’s Northeast even more.

    India after the 2014 general elections:BJP dominance and the crisis of the third party system

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    This article critically assesses claims that India has entered a new party system after the 2014 general elections, marked by renationalisation with the BJP as the new 'dominant' party.' To assess these claims, we examine the electoral rise of the BJP in the build-up to and since the 2014 general elections until the state assembly elections in December 2018. Overall, we argue that despite the emerging dominance of the BJP, a core feature of the third party system -a system of binodal interactions- has remained largely intact albeit in a somewhat weaker form. Furthermore, by comparing the post 2014 Indian party system with key electoral features of the first three party systems, we conclude that the rise of the BJP has thrown the third-party system into crisis, but does not yet define the consolidation of a new party system

    Status Report on displacement in Assam and Manipur

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    "While inter-ethnic conflicts have by no means been rare in India’s Northeast, population displacement induced by such conflicts is sharply on the rise particularly since the 1980s. Conflicts and violence confined in the past mainly to the armed groups and the security forces of the state seldom triggered off population displacement of such scale and magnitude as one notices now. It is important that we take note of the changing dynamics of conflicts and violence in the region. Conflicts today have acquired a truly mass character in the sense that they show an alarming propensity of engulfing an ever-greater number of people involved in them. In this situation, it is ironic that the two rights of home and homeland run at cross-purposes. This has its implications for the politics, ecology and topography of the region. Mixed areas with historically practised exchanges and transactions between communities are at peril. And, thus for instance, never before in its history has Manipur been so much divided as it is now. Internal displacements sparked off by conflicts are a product of many a hidden partition in the society seldom officially acknowledged. This study on fifty years of population displacement in Manipur tells us the story of a society that has hit almost a blind alley with little clue as to how to cross the divides and negotiate its rapidly changing ethnic landscape. We need to complement it with many other stories. As various stories marked by these divides unfold, they reveal a surprisingly similar structure – a structure that constantly reminds us of how violence once initiated eventually gathers its own momentum and takes its toll on each one of us – big or small, powerful or powerless. The essay on Assam prods us to think in terms of formulating an agenda that takes us beyond the given fault lines. It underlines the need for dialogues as a means of addressing the issues of rights and justice. We cannot ignore the fact that the development-induced displacement against this backdrop of ethnic tensions has complicated the problem related to rights and justice in India’s Northeast even more.

    Preparation and studies of electrical properties of cobalt substituted Li-Zn ferrites by sol-gel auto combustion method

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    A series of Co substituted lithium zinc ferrite powders with different content of Co (0.00 to 0.1 in steps of 0.02) were prepared by a novel sol-gel auto combustion process using citric acid. Their spinel structure was confirmed by XRD. The variation in lattice parameter and density with cobalt concentration was studied which showed an increasing trend. A decreasing pattern was observed in variation of porosity with increasing Co. Room temperature dielectric constant and resistivity were studied as a function of composition at 10 KHz. The room temperature dielectric constant decreases with successive addition of Co2+ in the series. The observed variation in dielectric constant has been explained on the basis of space charge polarization and Koops two layer model. Resistivity is observed to increase with increasing concentration and the observed variation in resistivity has been explained by Verwey hopping mechanism.Author Affiliation: Ibetombi Soibam1, Sumitra Phanjoubam1, H B Sharma1, H N K Sarma1 and Chandra Prakash2 1Department of Physics, Manipur University, Canchipur, Imphal-795 003, Manipur, India 2Directorate of ER & IPR, DRDO Bhawan, Rajaji Marg, New Delhi-110 011, India E-mail : [email protected] of Physics, Manipur University, Canchipur, Imphal-795 003, Manipur, India 2Directorate of ER & IPR, DRDO Bhawan, Rajaji Marg, New Delhi-110 011, Indi

    Influence of temperature on the dielectric behaviour of Co²⁺ substituted Li-Ni-Mn ferrites

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    199-202Li-Ni-Mn ferrites substituted with Co²⁺ having compositional formula Li₀․₄₅₋x/₂Ni₀․₁Mn₀․₁CoxFe₂․₃₅₋x/₂O₄ with x ranging from 0 to 0.1 in steps of 0.02 were prepared by the conventional ceramic technique. The temperature dependence of the dielectric constant and loss tangent have been investigated. The dielectric constant increased with the increase of temperature, the increase being more pronounced at lower frequencies indicating the dominant role played by the interfacial polarisation. Dielectric constant studied as a function of temperature showed peaks, which gets shifted to higher temperature as the frequency increased. The dielectric loss tangent was observed to increase with temperature. The results obtained are explained on the basis of Debye’s equation
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