2,037 research outputs found

    Tree-chromatic number is not equal to path-chromatic number

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    For a graph GG and a tree-decomposition (T,B)(T, \mathcal{B}) of GG, the chromatic number of (T,B)(T, \mathcal{B}) is the maximum of χ(G[B])\chi(G[B]), taken over all bags BBB \in \mathcal{B}. The tree-chromatic number of GG is the minimum chromatic number of all tree-decompositions (T,B)(T, \mathcal{B}) of GG. The path-chromatic number of GG is defined analogously. In this paper, we introduce an operation that always increases the path-chromatic number of a graph. As an easy corollary of our construction, we obtain an infinite family of graphs whose path-chromatic number and tree-chromatic number are different. This settles a question of Seymour. Our results also imply that the path-chromatic numbers of the Mycielski graphs are unbounded.Comment: 11 pages, 0 figure

    Multi-layer Unmanned Aerial Vehicle Networks: Modeling and Performance Analysis

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    Since various types of unmanned aerial vehicles (UAVs) with different hardware capabilities are introduced, we establish a foundation for the multi-layer aerial network (MAN). First, the MAN is modeled as K layer ANs, and each layer has UAVs with different densities, floating altitudes, and transmission power. To make the framework applicable for various scenarios in MAN, we consider the transmitter- and the receiver-oriented node association rules as well as the air-to-ground and air-to-air channel models, which form line of sight links with a location-dependent probability. We then newly analyze the association probability, the main link distance distribution, successful transmission probability (STP), and area spectral efficiency (ASE) of MAN. The upper bounds of the optimal densities that maximize STP and ASE are also provided. Finally, in the numerical results, we show the optimal UAV densities of an AN that maximize the ASE and the STP decrease with the altitude of the network. We also show that when the total UAV density is fixed for two layer AN, the use of single layer in higher(lower) altitude only for all UAVs can achieve better performance for low(high) total density case, otherwise, distributing UAVs in two layers, i.e., MAN, achieves better performance

    Surface-electrode ion trap with integrated light source

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    An atomic ion is trapped at the tip of a single-mode optical fiber in a cryogenic (8 K) surface-electrode ion trap. The fiber serves as an integrated source of laser light, which drives the quadrupole qubit transition of 88^{88}Sr+^+. Through \emph{in situ} translation of the nodal point of the trapping field, the Gaussian beam profile of the fiber output is imaged, and the fiber-ion displacement, in units of the mode waist at the ion, is optimized to within 0.13±0.100.13\pm0.10 of the mode center despite an initial offset of 3.30±0.103.30\pm0.10. Fiber-induced charging at 125μ125 \muW is observed to be 10{\sim}10 V/m at an ion height of 670μ670 \mum, with charging and discharging time constants of 1.6±0.31.6\pm0.3 s and 4.7±0.64.7\pm0.6 s respectively. This work is of importance to large-scale, ion-based quantum information processing, where optics integration in surface-electrode designs may be a crucial enabling technology.Comment: 4 pages, 4 figure

    Cooling of photoexcited carriers in graphene by internal and substrate phonons

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    We investigate the energy relaxation of hot carriers produced by photoexcitation of graphene through coupling to both intrinsic and remote (substrate) surface polar phonons using the Boltzmann equation approach. We find that the energy relaxation of hot photocarriers in graphene on commonly used polar substrates, under most conditions, is dominated by remote surface polar phonons. We also calculate key characteristics of the energy relaxation process, such as the transient cooling time and steady state carrier temperatures and photocarriers densities, which determine the thermoelectric and photovoltaic photoresponse, respectively. Substrate engineering can be a promising route to efficient optoelectronic devices driven by hot carrier dynamics.Comment: related papers at http://tonylow.info

    Nuclear Thermal Propulsion Risk Communication

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    Understanding Contraflow Pop-Culture Tourism: The Case of Transnational Fandom of South Korean Pop-Culture and the “Hallyu” Tourism

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    Pop-culture tourism has continuously grown its market among those who are fanatic of pop-culture, and destination marketers have noticed pop-culture as an effective marketing tool to attract more visitors. Pop-culture has been dominant by the US, but interestingly, a recent phenomenon sees a contra-cultural flow. This paper explores contraflow pop-culture tourism and guides the reader to how to understand this new tourism niche. Reviewing the case of transnational fandom of South Korean pop-culture, so called “Korean Wave” or “Hallyu” and its impact on inbound tourism, this paper suggests digital mediation as a key driver of contraflow pop-culture and transnational fandom, pop-culture as a vehicle for change destination image, and pop-culture tourism as a driving force of creative economy

    A surface electrode point Paul trap

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    We present a model as well as experimental results for a surface electrode radio-frequency Paul trap that has a circular electrode geometry well-suited for trapping of single ions and two-dimensional planar ion crystals. The trap design is compatible with microfabrication and offers a simple method by which the height of the trapped ions above the surface may be changed \emph{in situ}. We demonstrate trapping of single and few Sr+ ions over an ion height range of 200-1000 microns for several hours under Doppler laser cooling, and use these to characterize the trap, finding good agreement with our model.Comment: 10 pages, 11 figures, 1 tabl
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