Báo cáo toán học: "A quasisymmetric function generalization of the chromatic symmetric function" pptx
Báo cáo toán học: "A quasisymmetric function generalization of the chromatic symmetric function" pptx
... Press,
Cambridge, 1999 .
the electronic journal of combinatorics 18 (2011), #P31 13
A quasisymmetric function generalization
of the chromatic symmetric function
Brandon Humpert
University of Kansas
Lawrence, ... k of the indeterminates to 1 a nd the others to 0).
This paper is about a quasisymmetric function generalization of X
G
, which arose in
the foll...
Báo cáo toán học: "A Schr¨der Generalization of Haglund’s Statistic on o Catalan Paths" pptx
... length of the longest N-row of Π the height of Π. For Π of height h,
we call the vector (n
0
,n
1
, ,n
h
)whoseith coordinate is the number of N rows of Π of
length i the N-area vector of Π. Similarly ... t)=
n
d=0
S
n,d
(q, t) (49)
then r
n
(q, t) is twice the sum of the coefficients of all the hook shapes in ∇e
n
. The study of
the numbers r
n
goes...
Báo cáo toán học: "A new determinant expression of the zeta function for a hypergraph" ppt
... small.
If u = 0, then the Bartholdi zeta function of H is the Ihara-Selberg zeta function of
H.
Sato [8] presented a determinant expression of the Bartholdi zeta function of a hyper-
graph.
Theorem 5 ... Ihara-Selberg zeta function of a hyp ergraph, and
give a linear algebraic proof of Storm’s Theorem. Furthermore, we generalize these
results to the Bartholdi zeta...
Báo cáo toán học: "A Large Dihedral Symmetry of the Set of Alternating Sign Matrices" docx
... entries of a height function
matrix for an ASM should be thought of as ofset from the entries of the ASM itself.
If the entries of the ASM lie on vertices in the square grid, then the entries of the
height ... the proof of the theorem.
Lemma. Two fixed vertices are in the same component of the blue (respectively green)
subgraph after the action of H
k...
Báo cáo toán học: " A Purely Combinatorial Proof of the Hadwiger Debrunner (p, q) Conjectur" docx
... will meet each of the original sets.
Proof of Lemma 1. If we can find a set of f (d, g) points that meets the convex hull of
every subset of g|Q| of the elements of Q,itwillmeeteveryoneofourpolytopes.
In ... or the other of H. But there are only |Q|/2 points of Q
on each side. If we let the points of Q on the two sides of H be Q
L
and Q
R
,weonly
need meet th...
Báo cáo toán học: "A duality based proof of the Combinatorial Nullstellensatz Omran Kouba" pps
... and achieves the proof of
Lemma 2.
Before proceeding with the proof of Theorem 1, let us recall that the total degree
of a polynomial P from K[X
1
, . . . , X
m
] is the largest value of d
1
+ d
2
+ ... 0.
Finally, the conclusion of the theorem follows since
(t
1
, ,t
m
)∈S
1
×···×S
m
λ
S
1
t
1
λ
S
2
t
2
· · · λ
S
m
t
m
P (t
1
, t
2
, . . . , t
m
) = Φ(P ) = 0.
This e...
Báo cáo toán học: "A Note on Divisibility of the Number of Matchings of a Family of Graphs" ppt
... within the block to either of the
other two ways still gives us a perfect matching of the overall graph.
Counting the number of vertices in G
n
by rows from top to bottom, we see that the
total ... matching of G
n
, each block must contain at least one
edge of the matching, because the center vertex in each block can be paired only with one
of the other 3 vertices...
Báo cáo toán học: " A new approach to investigate the interactions between sediment transport and ecotoxicological processes during flood events" ppt
... activities bear the risk of eroding sediments in
rivers, reservoirs, harbour basins or estuaries. One of the key concerns associated with these erosion processes is
the re-mobilisation of sediment-bound ... advantage of these experiments is
the simulation of the important processes in a single
model set-up (hydraulic processes, sediment erosion,
transport and deposition, b...
Báo cáo toán học: " Metabolite proving fungal cleavage of the aromatic core part of a fluoroquinolone antibiotic" pdf
... cleavage of the aromatic fluoroquinolone
core for the first time. Hence, two decades after the emergence of the notion of the non-
biodegradability of fluoroquinolones, fungal degradation of all ... in the lipids of E. coli (Goldfine 1982). Two decades after the emergence of
the notion of the non-biodegradability of FQs, briefly reviewed by Wetzstein et al...
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