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Math
Links
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Mathscinet
American Mathematical
Society-(Mathematical Reviews of the
Web)
arXiv Cornell
University Library-
(arXiv is an e-print service in the
fields of physics, mathematics,
non-linear science, computer
science, and quantitative biology).
UC
Davis front
end for the mathematics arXiv,
maintained at Cornell
University.
AMS American
Mathematical
Society-(Mathematics Research and
Scholarship)
CMS Canadian
Mathematical Society
EMS The
European Mathematical
Society-(European Mathematical
Information Service)
DBW Links
to Combinatorial Conferences -
Douglas West
PJC British
Combinatorial
Committee-(British
Combinatorial
Conferences)
-
Peter
Cameron
ANCO
Annals
of
Combinatorics
CCA Combinatorica
CDM
Contributions
to
Discrete Mathematics
CPC
Combinatorics, Probability and
Computing
DM
Discrete Mathematics
DAM Discrete
Applied Mathematics
EJC The
Electronic
Journal of Combinatorics
ELA Electronic
Journal of LINEAR ALGEBRA-(Published
by ILAS - The International Linear
Algebra Society)
EURJC
European Journal of
Combinatorics
GC Graphs
and Combinatorics
JACO
Journal
of
Algebraic Combinatorics
JCTA
Journal of Combinatorial
Theory, Series A
JCTB
Journal of Combinatorial
Theory, Series B
JGT Journal
of Graph Theory
JOC
Journal of Combinatorics
LAA Linear
Algebra and its Applications
LAMA Linear
and
Multilinear
Algebra
RSA Random
Structures and Algorithms
SIDMA
SIAM Journal on Discrete Mathematics
U
of Delaware Math Seminars
U
of Delaware CS Seminars
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Here are some of my papers and
preprints. If you have any comments or
suggestions, please send me an email.
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Papers & Preprints
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- Disconnecting
strongly
regular graphs, with
Jack
Koolen and Weiqiang
Li,
submitted on January 15, 2013 to
European
Journal
of Combinatorics.
- The
spectrum and toughness of
regular graphs, with Wiseley
Wong, submitted
on November 27, 2012 to Discrete
Applied Mathematics
devoted to CRM
Graph
Spectra
in
Computer
Science.
- Ramanujan
and
expander graphs, with
Ram
Murty, invited
and
refereed chapter in Handbook
of Finite Fields, Editors
(Gary
Mullen and Daniel
Panario), to appear
(2013).
- On the connectedness of the complement
of a ball in distance-regular
graphs, with Jack
Koolen,
Journal
of Algebraic Combinatorics,
to appear (2013+). The final
publication is available at springerlink.com.
- Variations
on a theme of Graham and
Pollak, with Michael
Tait, Discrete
Mathematics, (2013).
- Edge-disjoint spanning trees and
eigenvalues of regular graphs,
with Wiseley
Wong, Linear
Algebra and its Applications,
(2012).
- Skew-adjacency
matrices of graphs, with Michael Cavers, Shaun Fallat, David Gregory, Willem Haemers, Steve Kirkland, Judi McDonald and
Michael Tsatsomeros ,
Linear
Algebra and its Applications,
(2012).
- On a conjecture of Brouwer
regarding the connectivity of
strongly regular graphs,
with Kijung
Kim and Jack
Koolen, J.Combin.
Theory Series A, (2012).
Microsoft
Research Presentation.
- Covering
complete hypergraphs with cuts
of minimum total size,
with Andre
Kundgen, Graphs
and Combinatorics, (2012).
- More counterexamples to the
Alon-Saks-Seymour and the
Rank-Coloring Conjectures,
with Michael
Tait, The
Electronic Journal of
Combinatorics, (2011).
- Covering
complete r-graphs with
spanning complete r-partite
r-graphs, with Andre
Kundgen, Craig
Timmons and Vladislav
V.
Vysotsky, Combinatorics,
Probability and Computing,
(2011).
- Some
applications of eigenvalues of
graphs, Chapter in Structural
Analysis of Complex Networks,
Birkhauser,
(2011).
- Edge-connectivity,
eigenvalues and matchings of
regular graphs, with Suil
O, SIAM
J. Discrete Math., (2010).
- A
necesssary and sufficient
eigenvector condition for a
connected graph to be
bipartite, Electronic
J. Linear Algebra, (2010).
- A lower
bound for the spectral radius
of graphs with fixed diameter,
with Edwin
van Dam, Jack
Koolen and Jae-Ho
Lee, European
Journal
of Combinatorics, (2010).
- Eigenvalues
and edge-connectivity of
regular graphs, Linear
Algebra
and its Applications,
(2010).
- Asymptotic
results on the spectral radius
and the diameter of graphs,
with Edwin
van Dam, Jack
Koolen and Jae-Ho
Lee , Linear
Algebra
and its Applications,
(2010).
- A
first course in graph theory
and combinatorics, with Ram Murty,
Hindustan
Book Agency, 186 pages
book, (2009). Errata
- On
decompositions of complete
hypergraphs, with Andre
Kundgen and Jacques
Verstraete, J.Combin.
Theory
Series A, (2009).
- Matchings in
regular graphs from
eigenvalues, with David
Gregory and Willem
Haemers, J.Combin.Theory
Series B, (2009).
- The minimum
degree distance of graphs with
given order and size, with
Orest
Bucicovschi, Discrete
Applied
Math., (2008).
- Expander
graphs and gaps between primes,
with Ram
Murty, Forum
Mathematicum, (2008).
- Zero
forcing sets and the minimum
rank of graphs, Linear
Algebra
and its Applications, with
18 co-authors, (2008).
- Spectral
independence number and
densest subgraph of a graph,
with Reid
Andersen, Journal
of Universal Computer Science,
(2007).
- The
spectral radius and the
maximum degree of irregular
graphs, The
Electronic
Journal of Combinatorics,
(2007).
- Principal
eigenvectors of irregular
graphs, with David
Gregory, Electronic
Journal of Linear Algebra,
(2007).
- Extreme
eigenvalues of nonregular
graphs, with David
Gregory and Vlado
Nikiforov, J.Combin.Theory
Series B, (2007).
- Large
matchings from eigenvalues,
with David
Gregory, Linear
Algebra
and its Applications,
(2007).
- Closed
walks and eigenvalues of
Abelian Cayley graphs, Comptes
Rendus Mathematique,
(2006).
- Eigenvalues
of graphs and a simple proof
of a theorem of Greenberg,
Linear
Algebra and its Applications,
(2006).
- On the
extreme eigenvalues of regular
graphs, J.Combin.Theory
Series B, (2006).
- Sums of
powers of the degrees of a
graph, Discrete
Mathematics, (2006).
- Eigenvalues,
Expanders and Gaps between
Primes, Ph.D. Thesis
(2006), +90pp.
- Perfect
matchings, eigenvalues and
expansion , Comptes
Rendus
Mathematiques,Vol.27
(2005).
- Bounds
on the Turan density of
PG(3,2), The
Electronic
Journal of Combinatorics,
11, (2004).
- Problem
11066, American
Math. Monthly 111 (2004).
Solution
- The
NP-completness of some edge
partitioning problems,
M.Sc. Thesis, (2002).
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Current
Courses/Seminars
Recent/Upcoming Conferences
- Graph
Theory
and
Interactions,
Durham,
UK, July 15-25 2013
- Joint
AMS-Romanian Math Society
Meeting, Romania, June 27-30
2013
- 15th
Rocky Mountain Discrete Math
Days, Denver Univ., Oct. 27,
2012
- Graph
Spectra
in
Computer
Science,
Barcelona,
July
16-20,
2012
- SIAM
Discrete Math Conference,
Halifax, Canada, June 18-21,
2012
Previous
Courses/Seminars
- Math
845,
Fall 2012
- Math
210,
Spring 2012
- Math
650,
Spring 2012
- Math
888,
Spring 2011
- Math
870,
Fall 2010
- Math
245,
Fall 2010
- Math
688,
Fall 2010
- Math
549, Spring 2010
- Math 688, Spring
2010
- Math 672,
Fall 2009
- Math 243,
Spring 2009
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