Some references for REU 2008

From CanisiusmathWiki

Here is a link to the MathSciNet (Math Reviews) database: [1] (http://www.ams.org/mathscinet/)

Introduction to Lattices and Order, by B. A. Davey, H. A. Priestley

Topology via Logic (Cambridge Tracts in Theoretical Computer Science) (Paperback) by Steven Vickers

some links to work by Eric Babson, Anton Dochtermann, et al: [2] (http://kam.mff.cuni.cz/~matousek/akt.html) [3] (http://www.inf.ethz.ch/personal/dkozlov/confs/stwork/abst.html) [4] (http://www.math.tu-berlin.de/~dochterm/research.html) Anton Dochtermann has a postdoctoral fellowship at the Technische Universität Berlin. He takes photographs and plays keyboard and clarinet.

Here is a link to A Course in Universal Algebra ** The Millennium Edition **by Stanley N. Burris and H.P. Sankappanavar [5] (http://www.math.uwaterloo.ca/~snburris/htdocs/ualg.html)

Here is a link to Brendan McKay's website (with Products of graphs and their spectra, Godsil & McKay) and many other papers [6] (http://cs.anu.edu.au/~bdm/publications.html)

There is a package called BlockMatrix that is available on ftp://ftpeagle.bc.edu/pub/user/belsley/mma/BlockMatrix.m which is from the website: [7] (http://ideas.repec.org/c/boc/bocode/m6b2301.html). This program can simply be copied and pasted into Mathematica to run functions for Kronecker product, Vec operator, Adjoin, BlockDiagonal and BlockMatrix, which are not available in our current 5.0 version of Mathematica.

Here is a list of files on MAC-01, in the REU.papers folder, as of June 16, 2008

babai79.pdf monte-carlo algorithms in graph algebra testing, laszlo babai, 1979, 33p

diaconis1.pdf Fastest Mixing Markov Chain on A Graph, Boyd, Diaconis, Xiao, 2004 29p

diaconis2.pdf Symmetry Analysis of Reversible Markov Chains, Boyd, Diaconis, Parrilo, Xiao 2004 35p

expander.pdf spectral geometry of regular graphs, brooks, 1988, 38p

FrobeniusPerron.pdf notes by Prof. Bumby on The Perron-Frobenius Theorem, 6p

GphCovBk.pdf GRAPHS AND THEIR COVERINGS, Jin Ho Kwak, Roman Nedela, 118p

Higgins.pdf CATEGORIES AND GROUPOIDS, higgins 1968, 195p

hogben.pdf spectral graph theory and the inverse eigenvalue problem of a graph, hogben 2005 20p

Isopectral Graphs.pdf The Figure Equation, Characteristic Polynomials, and Algebra of Graphs, J Volz, D Lunman, and R Marciniak, 2005, 20p

klivans.pdf The Bergman Complex of a Matroid and Phylogenetic Trees, Ardila and Klivans 2004, 10p

kozlov4.pdf complexes of graph homomorphisms, eric babson and dmitry kozlov 23p 2005

LovaczLimits.pdf Limits of dense graph sequences, Lovasz, Szegedy 27p 2001

LovaszSos.pdf Graph Limits and Parameter Testing, 10p

markovFoley.pdf Markov Processes, Foley, 6p

McKay.pdf Small Latin Squares, Quasigroups and Loops, McKay, Meynert, Myrvold, 28p

Minor-graphs.pdf graph minor theory, lovasz, 2005, 12p

Northshield.pdf several proofs of iharas theorem, Northshield, 10p

NorthshieldSlides.pdf 7p, mentions canisius reu

Skogman1.pdf Block Diagonalization Method for the Covering Graph, Minei, Skogman, 24p

Skogman2.pdf Construction of the Covering Graph over a Finite Group, Minei, Skogman, 65p

sottile06.pdf cocommutative hopf algebras of permutations and trees, aguiar and sottile 2005 17p

stanley_tilings.pdf Tilings, Ardila, Stanley 21p

sternberg.pdf Mathematics and the Buckyball, Fan Chung and Shlomo Sternberg 20p

StewartGolub.pdf nonlinear dynamics of networks: the groupoid formalism, golubitsky, stewart 2006, 60p

TERRASbook.pdf A STROLL THROUGH THE GARDEN OF GRAPH ZETA FUNCTIONS, 108p

thurston.pdf shapes of polyhedra and triangulations of the sphere, 40p

watkins.pdf some perspectives on the eigenvalue problem, david s. watkins 42p

weinstein.pdf Groupoids: Unifying Internal and External Symmetry, A Tour through Some Examples, Weinstein 9p

zetaGraphs1.pdf defining a zeta function for cell products of graphs, khandker, advisors: j. hoffman and r. perlis 25p

zetaGraphs2.pdf zeta functions on kronecker products of graphs, reeds, 11p