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The Study on the Upper-bound of Labeling Number for Chordal and Permutation Graphs (코달 및 순열 그래프의 레이블링 번호 상한에 대한 연구)

  • Jeong, Tae-Ui;Han, Geun-Hui
    • The Transactions of the Korea Information Processing Society
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    • v.6 no.8
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    • pp.2124-2132
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    • 1999
  • Given a graph G=(V,E), Ld(2,1)-labeling of G is a function f : V(G)$\longrightarrow$[0,$\infty$) such that, if v1,v2$\in$V are adjacent, $\mid$ f(x)-f(y) $\mid$$\geq$2d, and, if the distance between and is two, $\mid$ f(x)-f(y) $\mid$$\geq$d, where dG(,v2) is shortest distance between v1 and in G. The L(2,1)-labeling number (G) is the smallest number m such that G has an L(2,1)-labeling f with maximum m of f(v) for v$\in$V. This problem has been studied by Griggs, Yeh and Sakai for the various classes of graphs. In this paper, we discuss the upper-bound of ${\lambda}$ (G) for a chordal graph G and that of ${\lambda}$(G') for a permutation graph G'.

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A new species of marine algae from Korea based on morphology and molecular data: Gelidium palmatum sp. nov. (Gelidiales, Rhodophyta)

  • Boo, Ga Hun;Kim, Kyeong Mi
    • ALGAE
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    • v.35 no.1
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    • pp.33-43
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    • 2020
  • Two species of the agar-yielding genus Gelidium, G. galapagense and G. isabelae, have previously been reported from Korea but their occurrence has not been confirmed with molecular data. We intensively collected samples of Gelidium from Jeju Island, where the two species were reported, and the southern coast of Korea. Phylogenetic analyses based on cox1 and rbcL sequences revealed that only a single species occurred in Korea. The Korean species was distantly related to G. galapagense and G. isabelae from the Galápagos Islands, and formed a clade with G. microdonticum, G. millarianum, and G. pakistanicum. A new species, G. palmatum, is described for those specimens that were previously recognized as either G. galapagense or G. isabelae from Korea. G. palmatum is small in size (up to 0.7 cm), with compressed, lanceolate axes, irregular, digitate to palmate branches, abundant rhizines in the medulla, tetrasporangial sori without sterile margins, and rounded bilocular cystocarps borne subapically on palmate branchlets.

Real-time Implementation of the G.729 Annex A Using ARM9 $Thumb^{\circledR}$ Processor Core (ARM9 $Thumb^{\circledR}$ 프로세서 코어를 이용한 G.729A의 실시간 구현)

  • 성호상;이동원
    • The Journal of the Acoustical Society of Korea
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    • v.20 no.7
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    • pp.63-68
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    • 2001
  • This paper describes the details of ITU-T SGIS G.729A speech coder implementation using ARM9 Thumb/sup R/ processor core and various techniques used in the optimization process. ITU-T G.729 speech coder is the standard of the toll quality 8 kbit/s speech coding. The input to the speech encoder is assumed to be a 16 bits PCM signal at a sampling rate of 8000 samples per second. G.729A is reduced complexity version of the G.729 coder. This version is bit stream interoperable with the full version. The implemented coder requires 34.8 MIPS for the encoder and 8.1 MIPS for the decoder, 36.5 kBytes of program ROM and 6.3 kBytes of data RAM, respectively. The implemented coder is tested against the set of 9 test vectors provided by ITU-T for bit exact implementation.

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Possible target for G protein antagonist: Identification of specific amino acid residue responsible for the molecular interaction of G$\alpha$ 16 with chemoattractant C5a receptor.

  • 이창호
    • Proceedings of the Korean Society of Applied Pharmacology
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    • 2000.04a
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    • pp.17-19
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    • 2000
  • Heterotrimeric G Proteins transduce ligand binding to a wide variety of seven transmembrane cell surface receptors into intracellular signals. The currently accepted model for the activation of G protein suggests that ligand-activated receptor accelerates GDP-GTP exchange reactions on the ${\alpha}$ subunit of the heterotrimeric G protein. At least seventeen distinct isoforms of the G${\alpha}$ subunit protein have been identified in mammalian organisms. Among them, the G${\alpha}$q family consists of five members whose ${\alpha}$ subunits show different expression patterns. G${\alpha}$q and G${\alpha}$11 seem to be almost ubiquitously expressed, whereas G${\alpha}$14 is predominantly expressed in spleen, lung, kidney and testis. G${\alpha}$16 and its murine counterpart G${\alpha}$15 are expressed in hematopoietic cells and has been shown to couple a wide variety of receptors to phosphoinositide-specific phospholipase C activity. Beta-isoforms of phospholipase C were shown to be activated by all members of G${\alpha}$q family, i.e., G${\alpha}$q, G${\alpha}$11, G${\alpha}$l4 and G${\alpha}$16 subunits either in reconstitution system. or in experiments using cDNA transfection with intact Cos-7 cells.

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RECOGNITION OF STRONGLY CONNECTED COMPONENTS BY THE LOCATION OF NONZERO ELEMENTS OCCURRING IN C(G) = (D - A(G))-1

  • Kim, Koon-Chan;Kang, Young-Yug
    • Bulletin of the Korean Mathematical Society
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    • v.41 no.1
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    • pp.125-135
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    • 2004
  • One of the intriguing and fundamental algorithmic graph problems is the computation of the strongly connected components of a directed graph G. In this paper we first introduce a simple procedure for determining the location of the nonzero elements occurring in $B^{-1}$ without fully inverting B, where EB\;{\equiv}\;(b_{ij)\;and\;B^T$ are diagonally dominant matrices with $b_{ii}\;>\;0$ for all i and $b_{ij}\;{\leq}\;0$, for $i\;{\neq}\;j$, and then, as an application, show that all of the strongly connected components of a directed graph G can be recognized by the location of the nonzero elements occurring in the matrix $C(G)\;=\;(D\;-\;A(G))^{-1}$. Here A(G) is an adjacency matrix of G and D is an arbitrary scalar matrix such that (D - A(G)) becomes a diagonally dominant matrix.

INTERSECTION GRAPH에 관하여

  • Kim Yuon Sik
    • The Mathematical Education
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    • v.13 no.2
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    • pp.6-10
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    • 1974
  • We consider 'ordinary' graphs: that is, finite undirected graphs with no loops or multiple edges. An intersection representation of a graph G is a function r from V(G), the set of vertices of G, into a family of sets S such that distinct points $\chi$$_{\alpha}$ and $\chi$$_{\beta}$/ of V(G) are. neighbors in G precisely when ${\gamma}$($\chi$$_{\alpha}$)∩${\gamma}$($\chi$$_{\beta}$/)$\neq$ø, A graph G is a rigid circuit grouph if every cycle in G has at least one triangular chord in G. In this paper we consider the main theorem; A graph G has an intersection representation by arcs on an acyclic graph if and only if is a normal rigid circuit graph.uit graph.d circuit graph.uit graph.

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Determination of polycyclic aromatic hydrocarbons in processed foods (가공식품 중 다환방향족탄화수소 분석)

  • Hu, Soo-Jung;Jin, Sun-Hee;Lee, Kwang-Ho;Choi, Dong-Mi
    • Analytical Science and Technology
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    • v.23 no.2
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    • pp.196-204
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    • 2010
  • In this study, the following concentrations of some PAHs (Polycyclic Aromatic Hydrocarbons) were investigated; [benzo(a)anthracene, chrysene, benzo(b)fluoranthene, benzo(k)fluoranthene, benzo(a)pyrene, dibenzo(a,h)anthracene, benzo(g,h,i)perylene, indeno(1,2,3-c,d)pyrene] in processed foods (n=165) and cooked meats (n=45) and established the analytical method by characteristics of processed foods. The methodology involved extraction (alkali digestion, liquid-liquid extraction, microwave extraction), clean-up on Sep-Pak Florisil Cartridges and determination by HPLC/FLD (High Performance Liquid Chromatography/Fluorescence Detector). The recovery of overall method for 8 PAHs spiked into these products ranged from 92 to 103%. The mean level of detected foods was found to be benzo(b)fluoranthene $0.9\;{\mu}g/kg$ in smoked salmon, benzo(b)fluoranthene $1.0\;{\mu}g/kg$, benzo(k)fluoranthene $0.3\;{\mu}g/kg$, benzo(a)pyrene $0.9\;{\mu}g/kg$ in dried banana, benzo(b)fluoranthene $0.2\;{\mu}g/kg$, benzo(k)fluoranthene $0.1\;{\mu}g/kg$, benzo(a)pyrene $0.2\;{\mu}g/kg$ in smoked chicken, benzo(b)fluoranthene $1.3\;{\mu}g/kg$, benzo(k)fluoranthene $0.3\;{\mu}g/kg$, benzo(a)pyrene $0.9\;{\mu}g/kg$ in charcoal grilled pork, respectively.

YANG-MILLS CONNECTIONS ON A COMPACT CONNECTED SEMISIMPLE LIE GROUP

  • Park, Joon-Sik
    • East Asian mathematical journal
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    • v.26 no.1
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    • pp.75-79
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    • 2010
  • Let G be a compact connected semisimple Lie group, g the Lie algebra of G, g the canonical metric (the biinvariant Riemannian metric which is induced from the Killing form of g), and $\nabla$ be the Levi-Civita connection for the metric g. Then, we get the fact that the Levi-Civita connection $\nabla$ in the tangent bundle TG over (G, g) is a Yang-Mills connection.

A systematic revision of the genus Gonia Meigen (Diptera: Tachinidae) in Korea

  • Lee, Hyun-Suk;Han, Ho-Yeon
    • Animal cells and systems
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    • v.14 no.3
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    • pp.175-195
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    • 2010
  • The genus Gonia (Diptera: Tachinidae) is revised for the Korean species. We recognize four previously known species (G. chinensis, G. divisa, G. foersteri, and G. klapperichi), three newly recorded species in Korea (G. distinguenda, G. olgae, and G. ussuriensis) and a species new to science (G. nigricoma Lee and Han, sp. nov.). We here provide a key, descriptions, photographs and illustrations. We also inferred the phylogenetic relationships of the representative Palaearctic species using cladistic method.

Generalized G-Metric Spaces

  • Hayoung, Choi;Sejong, Kim;Seung Yeop, Yang
    • Kyungpook Mathematical Journal
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    • v.62 no.4
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    • pp.773-785
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    • 2022
  • In this paper, we propose the notion of a distance between n points, called a g-metric, which is a further generalized G-metric. Indeed, it is shown that the g-metric with dimension 2 is the ordinary metric and the g-metric with dimension 3 is equivalent to the G-metric.