Báo cáo toán học: "The Rank of a Cograph" pptx
Báo cáo toán học: "The Rank of a Cograph" pptx
... and Motivation
The rank of a graph X is the rank of its adjacency matrix A( X). As the rank is such
a fundamental algebraic concept, the relationship between the structure of a graph and
its rank ... of other matrices associated with a
graph, or about the ranks of certain graphs over finite fields (for examples, see Godsil &
Royle [7]).
In calculating the rank...
Báo cáo toán học: "The Multiplicities of a Dual-thin Q-polynomial Association Scheme" doc
... Multiplicities of a Dual-thin Q-polynomial
Association Scheme
Bruce E. Sagan
Department of Mathematics
Michigan State University
East Lansing, MI 44824-1027
sagan@math.msu.edu
and
John S. Caughman, IV
Department ... -andQ-polynomial association schemes,
Graphs Combin.,toappear.
[5] C. D. Godsil, “Algebraic Combinatorics,” Chapman and Hall, New York, 1993.
[6] T. Ito, K. Tanabe, and P. T...
Báo cáo toán học: "The Skeleton of a Reduced Word and a Correspondence of Edelman and Greene" pot
... gap has moved into an upper corner cell. If all
entries of T are different this process is well defined and actually yields a Young tableau.
The evacuation tableau evac(T) of a standard Young tableau ... pseudolines. Similarly a partial arrangement is an
isomorphism class of simple marked partial arrangements of pseudolines.
Goodman and Pollack [8] described a one-to-many corres...
Báo cáo toán học: "The degree of a q-holonomic sequence is a quadratic quasi-polynomial" docx
... tropical.lib,
http://www.mathematik.uni-kl.de/
∼
keilen/en/tropical.html.
[PR] Peter Paule and Axel Riese, qZeil Mathematica software,
http://www.risc.uni-linz.ac.at.
[PR97] , A Mathematica q-analogue of Zeilberger’s algorithm based on an alge-
braically ... differential operator case. Indeed, q is a variable which
seems to be independent of the spacial variables x of a differential...
Báo cáo toán học: "Minimum rank of matrices described by a graph or pattern over the rational, real and complex numbers" doc
... Computation of minimum rank
The question of the decidability of the minimum rank of a graph over a field F was raised
at the 2006 American Institute of Mathematics workshop,“Spectra of Families of ... mr(M
C
C
S
1
).
Proof. By Lemma 2.2, mr(M
C
C
S
1
) = 6.
Let A be a real realization of C
S
1
of minimum rank. We claim that rank( A) ≥ 7.
Suppose to the contrary...
Báo cáo toán học: " The impact of blood pressure hemodynamics in acute ischemic stroke: a prospective cohort study" ppt
... (bellolio.fernanda@mayo.edu)
Anunaya R Jain (anunaya_jain@urmc.rochester.edu)
Lekshmi Vaidyanathan (vaidyanathan.lekshmi@mayo.edu)
Rachel M Gilmore (gilmore.rachel@mayo.edu)
Rahul Kashyap (kashyap.rahul@mayo.edu)
Amy ... Demographics and characteristics of the cohort are summarized in Table
1. With 58.7% males, the cohort had a mean age of 74 years (SD = 15.0). A study
of the TOAST...
Báo cáo toán học: "The eigenvalues of the Laplacian for the homology of the Lie algebra corresponding to a poset" doc
... (multi)-sets X and Y of equal cardinality,
and each summand V (X, Y )
P
is invariant under the action of the Laplacian.
Thus we can now concentrate on the action of the Laplacian on each of these blocks.
4.1 ... simultaneously for both
Laplacians (L
X
and L
Y
),i.e., that the eigenvalues of the Laplacian L are the sum of the
eigenvalues of L
Y
and the eigenvalues of L
X
evalua...
Báo cáo toán học: " THE DISTRIBUTION OF DESCENTS AND LENGTH IN A COXETER GROUP" pps
... q)
Remarks. The specialization of equation (2) to q = 1 appears as [Ste, Proposition
2.2(b)], and the special case of (2) in which W is of type A
n
appears in slightly
different form as [DF, equation ... odd-labelled edges of the Coxeter diagram.
As a consequence, there is a universal tuple of additive statistics n
1
,n
2
, whose
multivariate distribution specializes to that o...