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X-ORIGINAL-URL:https://dimag.ibs.re.kr
X-WR-CALDESC:Events for Discrete Mathematics Group
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TZID:Asia/Seoul
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TZOFFSETFROM:+0900
TZOFFSETTO:+0900
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DTSTART:20190101T000000
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BEGIN:VEVENT
DTSTART;VALUE=DATE:20200810
DTEND;VALUE=DATE:20200814
DTSTAMP:20260424T080959
CREATED:20200221T012853Z
LAST-MODIFIED:20240705T201209Z
UID:2145-1597017600-1597363199@dimag.ibs.re.kr
SUMMARY:Nonlinear Algebra in Daejeon (Postponed)
DESCRIPTION:Program\n\nSummer School @ KAIST (August 4-7\, 2020)\nDiscussion Weekend (August 8-9\, 2020)\nWorkshop @ IBS Science Culture Center (August 10-13\, 2020)\n\nWebsite: https://dimag.ibs.re.kr/home/nonlinear/ \nOrganizing Committee\n\nInsong Choe (Konkuk U.)\nKangjin Han (DGIST)\nDavid Hyeon (SNU)\nSijong Kwak (KAIST)\nYongnam Lee (KAIST)\nAnton Leykin (Georgia Tech)\nSang-il Oum (IBS & KAIST)\nFrank Sottile (TAMU)
URL:https://dimag.ibs.re.kr/event/nonlinear-algebra-in-daejeon/
LOCATION:IBS Science Culture Center
CATEGORIES:Workshops and Conferences
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BEGIN:VEVENT
DTSTART;TZID=Asia/Seoul:20200811T163000
DTEND;TZID=Asia/Seoul:20200811T173000
DTSTAMP:20260424T080959
CREATED:20200725T052636Z
LAST-MODIFIED:20240707T082925Z
UID:2708-1597163400-1597167000@dimag.ibs.re.kr
SUMMARY:Yunbum Kook (국윤범)\, Vertex Sparsification for Edge Connectivity
DESCRIPTION:Graph compression or sparsification is a basic information-theoretic and computational question. A major open problem in this research area is whether $(1+\epsilon)$-approximate cut-preserving vertex sparsifiers with size close to the number of terminals exist. As a step towards this goal\, we initiate the study of a thresholded version of the problem: for a given parameter $c$\, find a smaller graph\, which we call connectivity-$c$ mimicking network\, which preserves connectivity among $k$ terminals exactly up to the value of $c$. We show that contraction-based connectivity-$c$ mimicking networks with $O(kc^4)$ edges exist by (1) introducing an extension of well-linkedness to a thresholded $c$-connectivity setting and (2) leveraging a kernelization result\, based on gammoid and the representative sets lemma\, to identify `essential edges’ in minimum edge cuts between a partition of terminals. We also develop an algorithm based on expander decomposition\, which can find a contraction-based $c$-mimicking network of the optimal size in $m(c\log n)^{O(c)}$. \nThese results lead to the first data structures for answering fully dynamic offline $c$-edge-connectivity queries for $c \ge 4$ in polylogarithmic time per query\, as well as more efficient algorithms for survivable network design on bounded treewidth graphs. \nThis is a joint work with Parinya Chalermsook\, Syamantak Das\, Bundit Laekhanukit\, Yang P. Liu\, Richard Peng\, Mark Sellke\, and Daniel Vaz.
URL:https://dimag.ibs.re.kr/event/2020-08-11/
LOCATION:Room B232\, IBS (기초과학연구원)
CATEGORIES:Discrete Math Seminar
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