Báo cáo toán học: "Ramseyan Properties of Graphs by Ermelinda DeLaVina" doc
Báo cáo toán học: "Ramseyan Properties of Graphs by Ermelinda DeLaVina" doc
... the class of all 4-chromatic graphs.
The structure of the red graph is obvious by Corollary, but we do not know
which graphs can occur as blue graphs and what are the properties of graphs in
which ... Written on the Wall, a list of conjectures of Graffiti.
Ramseyan Properties of Graphs
by
Ermelinda DeLaVina
delavina@math.uh.edu
Siemion Fajtlowicz
siemion@math.uh....
Báo cáo toán hoc:" Defective choosability of graphs without small minors" docx
... of K
3,3
. By Claim 2, G has a minor isomorphic to a
graph of the form K
3,3
+ e
1
, where e
1
joins two nonadjacent vertices of K
3,3
. If e
2
is any
edge of K
3,3
not incident with either of ... colouring of U can be extended to a U-proper (L, 2)
∗
-colouring of G
1
, and that
the resulting colouring of X can be extended to an X-pro per (L, 2)
∗
-colouring of G
2
, and
t...
Báo cáo toán học: "Structural Properties of Twin-Free Graphs" doc
... paths P
2r+1
(with the exception
of P
3
) the only r-terminal graphs?
the electronic journal of combinatorics 14 (2007), #R16 6
Structural Properties of Twin-Free Graphs
Ir`ene Charon
GET - T´el´ecom ... thought of. We give, without proof, one example which gives
smaller graphs than the ones in the proof of Theorem 12. In this example, calculations
are carried modulo 2r + 1....
Báo cáo toán học: "Some properties of unitary Cayley graphs" pdf
... ϕ(m).
Proof. 1. By the multiplicative properties of the Euler function ϕ(t) divides ϕ(n), if t is
a divisor of n [13]. Therefore, (9) implies that the nonzero eigenvalues of X
n
are divisors
of ϕ(n).
2. ... 6. In the notation of Lemma 5 the number of common neighbors of distinct
vertices a, b in the unitary Cayley graph X
n
is given by F
n
(a − b).
Proof. Let a, b, z be el...
Báo cáo toán học: " Some properties of an integral operator defined by convolution" potx
... Parvatham, R: Properties of a class of functions with bounded
boundary rotation. Ann. Polon. Math. 31, 311–323 (1975)
[3]. Noor, KI: On radii of convexity and starlikeness of some classes of analytic ... (http://creativecommons.org/licenses /by/ 2.0),
which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
1...
Báo cáo toán học: " Orthogonal Colorings of Graphs" ppt
... show that an interesting family of graphs, namely the
family of the complement graphs of U
r
, denoted by U
c
r
, has a strong orthogonal scheme,
with the exception of r ∈{2, 3, 6}.Inotherwords,U
c
r
is ... Oχ(K
5,5
)=5andOχ(K
5,4
)=5.
ProofofTheorem1.4: Consider a d-degenerate ordering {v
1
, ,v
n
} of the vertices of
G. We need to create a set {c
1
, ,c
k
} of k-orthogona...
Báo cáo toán học: "Nim-Regularity of Graphs" docx
... parts are all of size one.
Alternately, the complement of such a graph either has no edges or consists of the the
disjoint union of three or fewer complete graphs.
Proof. The complement of K
−
5
is ... similar proofs for complexes of
dimension 2 and higher. We conjecture that the answer is “yes,” but the complexity
of the proof would be astronomical, even for dimension 2. Hidd...
Báo cáo toán học: "Hereditary properties of tournaments" ppsx
... proof of Theorem 28 of [4] can also be adapted to hereditary properties of tour-
naments, to produce many properties with different exponential speeds, but we spare the
reader the details. Of ... Hereditary properties of combinatorial struc-
tures: posets and oriented graphs, to appear in Journal of Graph Theory.
[4] J. Balogh, B. Bollob´as and R. Morris, Hereditary propert...
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