• 제목/요약/키워드: gregarious

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ON DECOMPOSITIONS OF THE COMPLETE EQUIPARTITE GRAPHS Kkm(2t) INTO GREGARIOUS m-CYCLES

  • Kim, Seong Kun
    • East Asian mathematical journal
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    • 제29권3호
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    • pp.337-347
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    • 2013
  • For an even integer m at least 4 and any positive integer $t$, it is shown that the complete equipartite graph $K_{km(2t)}$ can be decomposed into edge-disjoint gregarious m-cycles for any positive integer ${\kappa}$ under the condition satisfying ${\frac{{(m-1)}^2+3}{4m}}$ < ${\kappa}$. Here it will be called a gregarious cycle if the cycle has at most one vertex from each partite set.

A REMARK ON CIRCULANT DECOMPOSITIONS OF COMPLETE MULTIPARTITE GRAPHS BY GREGARIOUS CYCLES

  • Cho, Jung Rae
    • East Asian mathematical journal
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    • 제33권1호
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    • pp.67-74
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    • 2017
  • Let k, m and t be positive integers with $m{\geq}4$ and even. It is shown that $K_{km+1(2t)}$ has a decomposition into gregarious m-cycles. Also, it is shown that $K_{km(2t)}$ has a decomposition into gregarious m-cycles if ${\frac{(m-1)^2+3}{4m}}$ < k. In this article, we make a remark that the decompositions can be circulant in the sense that it is preserved by the cyclic permutation of the partite sets, and we will exhibit it by examples.

A NOTE ON DECOMPOSITION OF COMPLETE EQUIPARTITE GRAPHS INTO GREGARIOUS 6-CYCLES

  • Cho, Jung-Rae
    • 대한수학회보
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    • 제44권4호
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    • pp.709-719
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    • 2007
  • In [8], it is shown that the complete multipartite graph $K_{n(2t)}$ having n partite sets of size 2t, where $n{\geq}6\;and\;t{\geq}1$, has a decomposition into gregarious 6-cycles if $n{\equiv}0,1,3$ or 4 (mod 6). Here, a cycle is called gregarious if it has at most one vertex from any particular partite set. In this paper, when $n{\equiv}0$ or 3 (mod 6), another method using difference set is presented. Furthermore, when $n{\equiv}0$ (mod 6), the decomposition obtained in this paper is ${\infty}-circular$, in the sense that it is invariant under the mapping which keeps the partite set which is indexed by ${\infty}$ fixed and permutes the remaining partite sets cyclically.

A DIFFERENCE SET METHOD FOR CIRCULANT DECOMPOSITIONS OF COMPLETE PARTITE GRAPHS INTO GREGARIOUS 4-CYCLES

  • Kim, Eun-Kyung;Cho, Young-Min;Cho, Jung-Rae
    • East Asian mathematical journal
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    • 제26권5호
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    • pp.655-670
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    • 2010
  • The complete multipartite graph $K_{n(m)}$ with n $ {\geq}$ 4 partite sets of size m is shown to have a decomposition into 4-cycles in such a way that vertices of each cycle belong to distinct partite sets of $K_{n(m)}$, if 4 divides the number of edges. Such cycles are called gregarious, and were introduced by Billington and Hoffman ([2]) and redefined in [3]. We independently came up with the result of [3] by using a difference set method, and improved the result so that the composition is circulant, in the sense that it is invariant under the cyclic permutation of partite sets. The composition is then used to construct gregarious 4-cycle decompositions when one partite set of the graph has different cardinality than that of others. Some results on joins of decomposable complete multipartite graphs are also presented.

한국에서 군집형 풀무치의 대발생과 그 집단의 유전적 계통 (An Outbreak of Gregarious Nymphs of Locusta migratoria (Orthoptera: Acrididae) in Korea and Their Genetic Lineage Based on mtDNA COI Sequences)

  • 이관석;김광호;김창석;이원훈
    • 한국응용곤충학회지
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    • 제55권4호
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    • pp.523-528
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    • 2016
  • 풀무치(Locusta migratoria)는 벼과 작물(벼, 옥수수 등)에 큰 피해를 주는 세계적으로 유명한 메뚜기목 해충의 하나로서 밀도요인에 따라 형태와 행동적으로 구별되는 단독형(solitaria)과 군집형(gregaria)을 나타낸다. 풀무치는 전세계적으로 다양한 형태적인 변이가 알려져 있으나 최근의 분자생물학적 연구에 따르면 2가지 계통, 즉 남방계통(아프리카, 남유럽, 동남아시아, 호주)과 북방계통(동아시아, 유라시아)으로 나뉜다. 2014년 8월 전남 해남군 산이면에서 군집형 약충들이 대발생하여 주변 잡초 및 작물(벼, 기장)에 큰 피해를 주었다. 우리나라에서 군집형 풀무치의 발생에 대한 명확한 학술적 보고는 이번이 처음이다. 해남지역의 풀무치 대발생 지점에서 채집한 풀무치 12개체의 COI 염기서열을 분석한 결과, 0.0%-0.9%의 유전적 변이를 보였으며, 모두 북방계통에 속했다.

DECOMPOSITIONS OF COMPLETE MULTIPARTITE GRAPHS INTO GREGARIOUS 6-CYCLES USING COMPLETE DIFFERENCES

  • Cho, Jung-R.;Gould, Ronald J.
    • 대한수학회지
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    • 제45권6호
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    • pp.1623-1634
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    • 2008
  • The complete multipartite graph $K_{n(2t)}$ having n partite sets of size 2t, with $n\;{\geq}\;6$ and $t\;{\geq}\;1$, is shown to have a decomposition into gregarious 6-cycles, that is, the cycles which have at most one vertex from any particular partite set. Complete sets of differences of numbers in ${\mathbb{Z}}_n$ are used to produce starter cycles and obtain other cycles by rotating the cycles around the n-gon of the partite sets.

패션 의견선도자(意見先導者)의 특성(特性)에 관한 연구(硏究) - 인구통계적(人口統計的).심리적(心理的).패션 커뮤니케이션 경로(經路) 변인(變因)을 중심으로 - (A Study on Characteristics of Fashion Opinion Leaders)

  • 정혜영
    • 복식
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    • 제14권
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    • pp.185-198
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    • 1990
  • The purpose of this study is to identify and profile Korean women's fashion opinion leaders on demographic, psychological and communication channels dimensions. The questionnaire was administered to 1204 students from a purposively selected. women's universities in Seoul. The data was analyzed using $X^2$-test, t-test, multiple regression analysis and discriminant analysis, The significance level was set at. 05. The major findings derived from analysis are as follows: 1. Fashion opinion leaders are generally come from families with higher income, more education and higher occupational status than followers. 2. Fashion opinion leaders are more likely to be exhibitionistic, self-confident, individualistic, risk taking and gregarious than followers. 3. Fashion opinion leaders are more exposed to impersonal communication media, especially to fashion magazines than followers. These findings imply an obvious usefulness for both manufacturers in the apparel industry as well as retailers to help them in the identification of their target market for the introduction and acceptance of fashion items.

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First Report and Characterization of Pestalotiopsis ellipsospora Causing Canker on Acanthopanax divaricatus

  • Yun, Yeo Hong;Ahn, Geum Ran;Kim, Seong Hwan
    • Mycobiology
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    • 제43권3호
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    • pp.366-370
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    • 2015
  • Acanthopanax divaricatus, a member of the Araliaceae family, has been used as an invigorant in traditional Korean medicine. During disease monitoring, a stem with small, irregular, brown lesions was sampled at a farm in Cheonan in 2011. The symptoms seen were sunken cankers and reddish-brown needles on the infected twig. The isolated fungal colonies were whitish, having crenated edges and aerial mycelium on the surface, and with black gregarious fruiting bodies. The reverse plate was creamy white. Conidia were $17{\sim}22{\times}3.5{\sim}4.2{\mu}m$, fusiform, 4-septate, and straight to slightly curved. The nucleotide sequence of the partial translation elongation factor 1 alpha gene of the fungal isolate, shares 99% sequence identity with that of known Pestalotiopsis ellipsospora. Based on the results of the morphological and molecular analyses, the fungal isolate was identified as P. ellipsospora. In Korea, this is the first report of canker on A. divaricatus.

Influence of Host Age on Development and Morphological Parameters of the Parasitoid Nesolynx thymus Girault (Hymenoptera: Eulophidae), An Ecto-Pupal Parasitoid of the Uzi Fly, Exorista bombycis (Louis) (Diptera: Tachinidae)

  • Aruna A.S.;Manjunath D.
    • International Journal of Industrial Entomology and Biomaterials
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    • 제12권1호
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    • pp.45-49
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    • 2006
  • The present investigation was conducted to know the effects of host age on development and morphological characteristics of Nesolynx thymus, a gregarious ectopupal parasitoid of the uzi fly, Exorista bombycis, a serious en do-larval parasitoid of the silkworm, Bombyx mori L. For experimentation, 3 - 11 day-old pupae of E. bombycis were exposed to 2 day-old adults of N. thymus at $25{\pm}2^{\circ}C\;and\;60{\pm}10%$ RH. A highly significant negative correlation between host age and the following development and morphological characteristics of the parasitoid was observed: number of pupae parasitised, total adult recovery, sex ratio and recovery, longevity, body length, wing span, abdomen length, and abdomen width of females. The findings of the present study clearly demonstrate that various development and morphological parameters of N. thymus are influenced by the age of E. bombycis pupae.