Báo cáo toán học: "How long can a graph be kept planar" pot
Báo cáo toán học: "How long can a graph be kept planar" pot
... Published: May 5, 2008
Mathematics Subject Classification: 9 1A2 4
Abstract
The graph (non-)planarity game is played on the complete graph K
n
between
an Enforcer and an Avoider, each of whom take one ... planar graph game on n vertices, Avoider can play at least 3n − 26
edges while keeping his graph planar.
Motivation and History Positional games consist of a board, which is a fi...
Báo cáo toán học: "How frequently is a system of 2-linear Boolean equations solvable" ppsx
... we became aware of a recent paper [10] by Daud´e and
Ravelomanana. They studied a close but different case, when a system of m equations
is chosen uniformly at random among all n(n − 1) equations ... multigraph. (In [13] graphs G
with such kernels were called clean. It is these clean graphs that are most populous
asymptotically among all connected graphs on [n] with excess ℓ.) Now that w...
Báo cáo toán học: "Cycle lengths in a permutation are typically Poisson" pot
... R. Arratia, A. D. Barbour and S. Tavar´e, Random combinatorial structures and
prime factorizations, Notices Amer. Math. Soc. 44 (1997), 903–910.
[2] P. Billingsley, On the distribution of large ... integer:
Hardy and Ramanujan showed that almost all integers have ∼ log log x prime factors,
and it has been shown that if p
j
(n) is the jth smallest prime factor of an integer then
log log p
j
(...
Báo cáo toán học: "Automorphism groups of a graph and a vertex-deleted subgraph" pot
... Stephen G. Hartke and A. J. Radcliffe. Mckay’s canonical graph labeling algo-
rithm. In Communicating Mathematics, volume 479 of Contemporary Mathe-
matics, pages 99–111. American Mathematical Society, ... considering
each G+v. To prune the search tree, the canonical labeling of G+v is computed, usually by
nauty, McKay’s canonical labeling algorithm [McK06,HR09]. Finding a canonical label...
Báo cáo toán học: "Chromatic Roots of a Ring of Four Cliques" potx
... of Mathematics & Statistics
University of Western Australia, Australia
gordon@maths.uwa.edu.au
Dave Wagner
Department of Combinatorics and Optimization
University of Waterloo, Canada
dgwagner@math.uwaterloo.ca
Submitted: ... root of F
a, p,q,n
(z) is either a real number or a non-real number with
its real part equal to 0:
(i) p + q is a negative integer an d a ≥ 1 − p − q; and
(i...
Báo cáo toán học: " How Many Squares Must a Binary Sequence Contain" pptx
... Email:
tsimpsonr@cc.curtin.edu.au
Table 1. Possible pairs of q.
a
1
a
2
a
2
a
1
a
3
a
1
a
4
a
3
a
1
a
3
a
2
a
4
a
3
a
5
a
5
a
2
Table 2. Possible triples of q.
a
1
a
2
a
1
a
2
a
1
a
2
a
3
a
1
a
2
a
4
a
3
a
1
a
1
a
2
a
4
a
2
a
1
a
3
a
3
a
1
a
3
a
5
a
2
a
1
a
1
a
3
a
5
a
2
a
4
a
3
a
3
a
5
a
2
a
5...
Báo cáo toán học: "How many square occurrences must a binary sequence contain?" docx
... ternary
alphabet {a
1
,a
2
,a
3
} toawordW
5
over the quinary alphabet {a
1
,a
2
,a
3
,a
4
,a
5
},andthen
by applying to W
5
a morphism to the binary alphabet {0, 1}. The first step is such that
the ... results
have been generalized to larger alphabets and on the other hand, to the abelian case
∗
LORIA/INRIA-Lorraine, 615, rue du Jardin Botanique B.P. 101, 54602 Villers-l`es-Na...
Báo cáo toán học: "How different can two intersecting families be" ppsx
... F
outside I, as well. Note that A is not empty, since
F
1
,F
2
A. Now for any A ∈Alet f (A) = (A \ I) ∪{1}. (Observe that for any A A
there is A
A F
0
with A ∩ A
= I, A \ I = A \ A
,sof (A) ∈ 1 ... any F ∈F
0
(because
in that case we would take into account that containing relation twice when counting
ρ(f (A) )). But this is clear, because a G of this form cont...
Báo cáo khoa học: "How Much Can We Gain from Supervised Word Alignment" potx
... Seventh International Conference on Language
Resources and Evaluation, Valletta, Malta.
Dan Melamed. 1998. Manual annotation of translational
equivalence: The blinker project. Technical Report ...
that alignment errors are less harmful with more
training data. We can therefore conclude the small
magnitude of the gain using human alignment is
not an artifact of small training.
Compar...
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