... Smolenice, Prague (1964), 29-36.
ATur´an Type Problem Concerning the Powers of the
Degrees of a Graph
Yair Caro
∗
and
Raphael Yuster
†
Department of Mathematics
University of Haifa-ORANIM, Tivon ... 2)
p
and is obtained by K
k−1
. A close examination of
the proof of Theorem 1.2 shows that the value of n
0
(k) in the statement of the theorem is
O(k
2
)...
... interests
The authors declare that they have no competing interests.
Authors’ contributions
All the authors have contributed in all the part and they have read and approved the final
manuscript.
Acknowledgements
This ... for global stability of a class of neutral -type neural
systems with time delays. Appl. Math. Comput. 210, 564–570 (2009)
[8] Rakkiyappan, P, Balasubramaniam, P...
... Hamilton-Jacobi
Equations with Concave-Convex Data
Tran Duc Van and Nguyen Duy Thai Son
Institute of Mathematics, 18 Hoang Quoc Viet Road, 10307 Hanoi, Vietnam
Received August 11, 2005
Abstract. ... Equations, Chapman
& Hall/CRC Monographs and Surveys in Pure and Applied Mathematics, 101.
Chapman & Hall/CRC Press, Boca Raton, FL, 2000.
75. T. D. Van and N. H. Tho, Hopf -type estima...
... and columns are indexed by the elements of F and X
k
respectively. The
rest of the proof is similar to but simpler than that of Theorem 3 above and hence
omitted.
§5. The Proof of Theorem 5
the ... journal of combinatorics 4 (1997), #R28 15
1. N. Alon, L. Babai and H. Suzuki, “Multilinear Polynomials and Frankl-Ray-
Chaudhuri-Wilson Type Theorems,” Journal of Combinato...
... the values
of the type- A statistics on NC
A
n
. Weshowthat,asinthecaseoftype -A, rs
B
and lb
B
are equidistributed on each rank of NC
B
n
. The same holds for ls
B
and
rb
B
.Thetwoq-analogues of ... each rank NC
B
n,k
can be made combinatori-
ally explicit. For rb
B
and ls
B
(next corollary) the argument is an immediate adaptation
of the standard combinatorial proof o...
... find
additional new finitizations of Rogers-Ramanujan type identities, at least one of which
arises in the work of Warnaar [72].
Finally, the appendix is an annotated and cross-referenced version of ... list of 130 identities of the Rogers-Ramanujan type as a part of her Ph.D. thesis and
published them in [68]. An annotated version of Slater’s list is included as App...