VAN K. NGUYEN

 

Ph.D. student, Algorithms and Theory  Laboratory

CS Department , University of California, Davis

Phone: (530) 752-8819  -  Fax: (530) 752-4767 

Email: nguyenvk “at” cs.ucdavis.edu

 

[Publications][Application Materials][Reading] [Links]

 

I am with Algorithms and Theory Laboratory  in Computer Science Dept., UC-Davis. My advisor is Prof. Chip Martel.

I am very proud of receiving the Best Graduate Researcher Award of the Computer Science department at UC-Davis.

My research interests includes:

 

§       Algorithms for networking and dist. computing: Network graphs & algorithms; Models for real-world large-scale networks; Small-world analysis

§       Networking: peer-to-peer; hybrid large-scale wireless networks; dynamic routing for optical wavelength division multiplexing (WDM) networks

§       Cryptography and Computer Security

 


Current Research

§       An algorithmic approach for large-scale dynamic networks

§       Learning from small-worlds: Efficient network designs with distance-bias links

 

Papers

§       Van Nguyen & Chip Martel, “Efficient Dynamic Routing Schemes in Euclidean Metrics”, In preparation

§       Van Nguyen & Chip Martel, “Modeling small-worlds with geographical factors: distance-bias & bounded-growth neighborhoods”, 2006, submitted.

§       Van Nguyen & Chip Martel, “Non-uniform Random Links in Small-world Graphs: Models, Analysis and Applications in Network Designs”.

In internal review. To be submitted for journal publication. Abtract.

§       Van Nguyen & Chip Martel, “Designing Networks for Low Weight, Small Routing Diameter and Low Congestion”.

A shorten version to appear in INFOCOM’06. Abstract.

§       Van Nguyen & Chip Martel, “Analyzing and characterizing small-world graphs”, in Proc. of the 16th  ACM-SIAM symposium on Discrete Algorithms,   SODA’2005. Full paper.

§       Chip Martel  & Van Nguyen, “Analyzing Kleinberg’s (and other) Small-World Models”, in Proc. of the 23rd ACM Symposium on Principles of Distributed Computing PODC’2004.  Full paper.

§       Van Nguyen & Phil Rogaway, “PRF to OWF conversion when the key length equals the block length”, Technical Report, CS-UCDavis, 2002 – not publishable since problem already visited by an old paper, although  we gave some good insight using modern techniques.

§       V.K. Nguyen & R. Saphavi-Naini, “On a new model for electronic cash with the notion of anonymous mirror wallets”, Tech. Report, University of Wollongong, 1997

§       V.K. Nguyen & R. Saphavi-Naini, “A Framework for Combining Off-line & On-line Electronic Cash”, in Proc.  of PAWEC’97, 1997.

 

Current Research Projects

§       An algorithmic approach for large-scale dynamic networks (with Prof. Chip Martel).

 

The Small-world property, a surprising feature in many large-scale real-world networks including the Internet, has been modeled as a simple local-contact graph augmented by a selective non-uniform distribution of random links, by Watts & Strogatz, and Kleinberg (Nature, 1998 and 2000) - Background. We pursue a line of research on random structures of this type (and generalized), adding to the classical study of random graphs. We propose  a new general model for small-world properties which also considers geographical factors  and power-law degrees and a number of important follow-up results such as a thorough analysis of Kleinberg's small-world models (and many others). We also propose a general small-world construction framework, featuring a hierarchical family of random structures where short paths can be found using decentralized routing in more refined classes.

 

We focus on geographical factors, including the distance-bias tendency (links tend to favor closer distances) and the property of bounded growth in neighborhood expansion. Our refined model combines a growth bounded base graph with a distance-bias distribution of random links. We show when the small-world effect may occur and how the diameter changes depending on the coordination between the distance-bias parameter and the two bounded growth parameters. This helps explain why the Internet graph is considered as a small-world with low diameter, but is locally growth bounded. We develop analysis techniques for graphs with non-uniform random links, including a fractal-based analysis. Based on our analysis results, we develop routing algorithms to best exploit topological features, e.g.  long-distance links (using our fractal-based analysis).

 

§       Learning from small-worlds: Efficient network designs with distance-bias links (with Prof. Chip Martel).

 

We design network topologies and routing strategies which optimize several measures simultaneously: low weight, small routing diameter, bounded degree and low congestion. In the context of computer networks, low weight means cheap cost for connecting cable (or bandwidth renting in building virtual private intranets); small diameter means limited hops in a path, and bounded degree means a bounded number of physical links connected to a node. This set of design issues is broader than traditional network design and hence, our work is useful and  relevant to a set of traditional and emerging design problems such as in hybrid wireless networks and optical WDM networks.

 

Background & Motivation

Four decades have gone since the first experiment (Milgram, 1967)  which confirms a (probably, centuries old) folklore that we are in a small-world where any two strangers can be linked by a short chain of acquaintances. The recent extensive multi-disciplinary research initiated by Watts and Strogatz's seminal work (1998) shows that small-world properties are seen common in many large-scale real-world networks such as in social networks, biological networks and the Internet networks. Yet, this striking phenomenon was not fully understood (and contemplated) till recently when Kleinberg (2000) emphasizes and produces a nice model for the other striking aspect that such a short chain can be found using limited local information only (e.g. a search based on a first-name basis).

 

Starting with Watts and Strogatz,  much work has been done recently on models where random links are added to a simple graph which is rich in local contacts.  While these local contacts are likely the source for high clustering, the random links (uniform in early models) make the bridging long-range contacts which shrink the graph diameter. Kleinberg, however, uses non-uniform random links, which favor the closer nodes over the distant ones. Successful with some special distribution of random links, his work introduces a new “algorithmic perspective” on this research field and initiates a new active branch on decentralized search (in small-worlds) which  could be desired in many Internet-related scenarios such as in peer-to-peer networking. Inspired by these results, we, however, envision a new line of research on random structures, adding to the classical study of random graphs, and that this new approach can contribute to network designs by introducing constructions which simultaneously optimize many practical factors.

 

More background on real-world complex networks can be found in these reviews:

 

§       R. Albert and A.-L.Barabasi. Statistical mechanics of complex networks . Reviews of Modern Physics 74, 47 (2002).

§       S.N. Dorogovtsev and J.F.F. Mendes. Evolution of networks. Adv. Phys. 51, 1079-1187 (2002);

§       M. E. J. Newman. The structure and function of complex networks. SIAM Reviews, 45(2): 167-256, 2003

§       J. Kleinberg. Complex Networks and Decentralized Search Algorithms. Proc. of the International Congress of Mathematicians (ICM), 2006 (to appear).

 


Application Materials

§       CV [html | pdf | doc]

§       Research [Statement | Summary | Detailed Description ]

§       Teaching Statement

 


Real-World Random Networks

 

Some People

Jon Kleinberg

Fan Chung Graham

Mark Newman

Milena Mihail

Amin Saberi

Albert-László Barabási

David Aldous

Rick Durrett

Michael Mitzenmacher

 

Workshops

Models of Real-World Random Networks

Program on Random Graphs and Large-Scale Real-World Networks - IMS

Theoretical Computer Science special issue on Complex Networks

CNET2004 Conference homepage

DIMACS Workshop on Complex Networks and their Applications

 

Courses and reading links

Milena Mihail’s Algorithms for Complex Networks

Jon Kleinberg’s The Structure of Information Networks

David Aldous’s From Random Graphs to Complex Networks

Jim Crutchfield’s Natural Computation and Self-Organization

Information Networks’ Reading List by Panayiotis Tsaparas

CNet

Algorithms for Co      mplex Networks

CNLS Annual Conference on Networks

 

Some algorithms links

NIST, Dictionary of Algorithms and Data Structures.

Pierluigi Crescenzi, and Viggo Kann, “A compendium of NP optimization problems

Steve Seiden's Theoretical Computer Science Cheat Sheet

Misc.

Google Search, Scholar, Map

The TeX catalogue online

Berkeley Shuttle Bus Reservation

Vietnam News – VN Express, VNN Sports

BBC – News, Sport news

Soccer News – Goal.com

NBA – All, Kings

Davis is on Interstate 80, about 12 miles west of Sacramento and 75 miles east of San Francisco, and 65 miles east of Berkeley:  Dining in Davis , Things to do in Davis , Attractions in Davis


 

My daughter’s corner

 Baby Ha-Vi (born March 03 to Momy Chi & Dady Van)

with aunt Hai-Nhu

with Ha-Khiem-Bi

in Kim’s Haircut

in Kim’s Haircut