Báo cáo toán học: "On a conjecture concerning the Petersen graph" ppt
Báo cáo toán học: "On a conjecture concerning the Petersen graph" ppt
... or
(iii) B has all attachments in N
′
2
∪N
′
3
∪N
′
4
, and each of N
′
2
, N
′
3
and N
′
4
contains at least
one such attachment.
Proof of Claim 6: If j = 4 and x
2
and x
j
are not adjacent, then ... such that at most two pair of them are
adjacent. Therefore, no non-edge-bridge can have attachments in more than two N
′
i
’s,
and if it has atta chments in two N
′
i
’s, say in N
′
i
and in .....
Báo cáo toán học: "On a conjecture concerning dyadic oriented matroids" pptx
... totally dyadic
representation A. A dyadic oriented matriod is dyadic of order k if it has a
totally dyadic representation A with full row rank and with the property that
for each pair of adjacent ... Louisville.
scobee@louisville.edu
Submitted: January 7, 1999; Accepted: March 30, 1999
Abstract
A rational matrix is totally dyadic if all of its nonzero subdeterminants are
in {±2
k
:...
Báo cáo toán học: "On a Conjecture of Frankl and F¨redi u" doc
... discussions
with Eva Czabarka, Ida Kantor, Gyula O.H. Ka t ona, Nathan Lemons, Bal´azs Patk´os,
L´aszl´o Sz´ekely, and Jacques Verstra¨ete. The author thanks the NSF for funding her and
IPAM for hosting ... hosting her while she was a core participant in the CMA 2009 program. The
author also thanks the US State Department and the Hungarian Fulbright Commission
for funding her an...
Báo cáo toán học: "On a Class of Constant Weight Codes" pptx
... + y)(X + y)
On a Class of Constant Weight Codes
Mihai Caragiu
Institute of Mathematics Bucharest
and
Department of Mathematics, Pennsylvania State University
E-mail: caragiu@math.psu.edu
Submitted: ... constant weight for their codewords.
Note that whenever we take off the first row and the first column of a normalized
Hadamard matrix of order 4t, the set of all the rows of the rem...
Báo cáo toán học: " On a Partition Function of Richard Stanley" pptx
... questions.
2 The Main Theorem
We begin with some preliminaries about partitions and their conjugates. For a given
partition π with parts each N,wedenotebyf
i
(π) the number of appearances of i as a
part ... in the following be dealing with partitions whose parts are all some
given N.Welet¯π be that partition made up of the parts of π that are <N. In light of
(11) we see tha...
Báo cáo toán học: " On cubic planar hypohamiltonian and hypotraceable graph" pptx
... if a
i
and a
j
are adjacent in G. These additional edges are
always drawn between two vertices having degree 2 in the copies (that is, copies of a
1
, a
2
,
or a
3
). It is easy to see that Z ... hypohamiltonian graph has at least three non-2-faces.
Proof. Let D be an arbitrary cubic planar hypohamiltonian gr aph. If D has only 2-faces,
then the deletion of any vertex gives a...
Báo cáo toán học: "On a Generalization of Meyniel’s Conjecture on the Cops and Robbers Game" potx
... 7
On a Generalization of Meyniel’s Conjecture
on the Cops and Robbers Game
Noga Alon
∗
Tel Aviv University
and
Institute for Advanced Study, Princeton
nogaa@tau.ac.il
Abbas Mehrabian
Department ... mean a pair (x, y) of vertices with x ∈ X and y ∈ N
A
s
(x). We
call x the head and y the tail of the pair. By the remark, the set A ∩ N(x) has at most
m elements, and propert...
Báo cáo toán học: "On a System of Semilinear Elliptic Equations on an Unbounded Domain" potx
... C. Evans, Partial Diff. Equations, American Math. Society, 1998.
5. C. Vargas an d M. Zuluaga, On a Nonlinear Dirichlet Problem Type at Resonance
and Bifurcation, Partial Differential Equations, ... notice that the problem Dirichlet for the system (1.1) in a bounded
smooth domain have been studied by Zuluaga in [6].
Throughout the paper, (., .)and. denotes the usual scalar product...
Báo cáo toán học: " On a Probability Metric Based on Trotter Operator " ppsx
... distances in spaces of random variables, Math. Uspekhi
101 (1976) 417–454 (Russian).
28. V.M. Zolotarev, Ideal metrics in the problems of probability theory and mathe-
matical statistics, Austral. ... Introduction
During the last several decades the probability metric approach has risen to
become one of the most important tools available for dealing with certain types
of large scale p...
Báo cáo toán học: "On a Strange Recursion of Golomb" ppsx
... have all n non-terminal symbols, we give a combinatorial interpretation for the
transformation L
(r)
w
. After the application of L
(r)
w
to A, the last step is the placement of
r + 1 copies of the ... construction for the Stockhausen sequences. Although only known tech-
niques [G] are used, these are sophisticated, and the problem serves as a useful study of
these techniqu...