... journal of combinatorics 17 (2010), #N13 5
Combinatorial proof of a curious
q-binomial coefficient identity
Victor J. W. Guo
a
and Jiang Zeng
b
a
Department of Mathematics, East China Normal University,
Shanghai ... (3) and (4) are obviously equivalent. Recently, an elegant combinatorial
proof of (4) was given by Shattuck [12], and a little complicated combinatorial p...
... Continuous Function
*
Majid Mirmiran
Department of Mathematics, University of Isfahan
Isfahan 81746-73441, Iran
Received February 22, 2004
Revised October 20, 2005
Abstract. Necessary and sufficient conditions ... insertability of a contra-continuous func-
tion, the necessary definitions and terminology are stated.
Definition 2.1. Let A be a subset of a topological space (X, τ). W...
... the Anti-symmetric Analog? Howe and Umeda
[H-U], and independently, Kostant and Sahi [K-S] discovered and proved
an anti-symmetric analog of Capelli’s identity. Although we, at present,
are unable ... to give a combinatorial proof similar to the above proofs, we
state this identity in the hope that one of our readers will supply such a
proof. Since the anti-symmetric analog is only...
... Essays in Honor of Gian-Carlo Rota, B. E. Sagan, R. P. Stanley, Progress in Math., vol. 161,
Birkh¨auser
[6] C. Krattenthaler, Generating functions for plane partitions of a given shape, Manuscripta ... degree of the determinant as a polynomial in m.It
is exactly equal to the number of linear factors we have already found to divide the
determinant. So we know the determinant up to...
... such that at least one pair of the configuration will
contain a point from each of T
1
u
,T
v
, and at least one pair will contain a point from each
of T
2
u
,T
v
, with probability at least 1 ... Bollob´as and A. Frieze. On matchings and Hamiltonian cycles in random graphs.
Annals of Discrete Mathematics 28, 23 - 46.
[9] A. Bondy and U.S.R. Murty. Graph Theory With Applications....
... Department of Mathematics and Statistics, Simon Fraser University,
Burnaby, B.C., V 5A 1S6, Canada (e-mail: jborwein@cecm.sfu.ca)
David M. Bradley
2
Department of Mathematics and Statistics, Dalhousie ... occurrences of w.Apolynomial on A over is a rational linear
combination of words on A. The set of all such polynomials is denoted by A .
Combinatorial Aspects
of Multiple Z...
... 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...
... 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...