The Libraries will be performing routine maintenance on UWSpace on July 15th-16th, 2025. UWSpace will be available, though users may experience service lags during this time. We recommend all users avoid submitting new items to UWSpace until maintenance is completed.
 

Succinct Data Structures for Chordal Graphs

dc.contributor.advisorMunro, J. Ian
dc.contributor.authorWu, Kaiyu
dc.date.accessioned2019-04-10T19:53:54Z
dc.date.available2019-04-10T19:53:54Z
dc.date.issued2019-04-10
dc.date.submitted2019-04-04
dc.description.abstractWe study the problem of approximate shortest path queries in chordal graphs and give a n log n + o(n log n) bit data structure to answer the approximate distance query to within an additive constant of 1 in O(1) time. We study the problem of succinctly storing a static chordal graph to answer adjacency, degree, neighbourhood and shortest path queries. Let G be a chordal graph with n vertices. We design a data structure using the information theoretic minimal n^2/4 + o(n^2) bits of space to support the queries: whether two vertices u,v are adjacent in time f(n) for any f(n) \in \omega(1). the degree of a vertex in O(1) time. the vertices adjacent to u in O(f(n)^2) time per neighbour the length of the shortest path from u to v in O(n f(n)) timeen
dc.identifier.urihttp://hdl.handle.net/10012/14520
dc.language.isoenen
dc.pendingfalse
dc.publisherUniversity of Waterlooen
dc.titleSuccinct Data Structures for Chordal Graphsen
dc.typeMaster Thesisen
uws-etd.degreeMaster of Mathematicsen
uws-etd.degree.departmentDavid R. Cheriton School of Computer Scienceen
uws-etd.degree.disciplineComputer Scienceen
uws-etd.degree.grantorUniversity of Waterlooen
uws.contributor.advisorMunro, J. Ian
uws.contributor.affiliation1Faculty of Mathematicsen
uws.peerReviewStatusUnrevieweden
uws.published.cityWaterlooen
uws.published.countryCanadaen
uws.published.provinceOntarioen
uws.scholarLevelGraduateen
uws.typeOfResourceTexten

Files

Original bundle

Now showing 1 - 1 of 1
Loading...
Thumbnail Image
Name:
Wu_Kaiyu.pdf
Size:
258.02 KB
Format:
Adobe Portable Document Format
Description:

License bundle

Now showing 1 - 1 of 1
No Thumbnail Available
Name:
license.txt
Size:
6.08 KB
Format:
Item-specific license agreed upon to submission
Description: