The sum \(16^n\sum^{2n}_{k=0}4^k{\tfrac12\choose k}{-\tfrac12\choose k}{-2k\choose 2n-k}\): a proof of its closed form
Larcombe, Peter J.; Larsen, Mogens E.
Util. Math. 79, 3-7 (2009).
The sum \(16^n\sum^{2n}_{k=0}4^k{\tfrac12\choose k}{-\tfrac12\choose k}{-2k\choose 2n-k}\): a computer assisted proof of its closed form, and some generalised results
Koepf, Wolfram A.; Larcombe, Peter J.
Util. Math. 79, 9-15 (2009).
The minimal closed geodetic numbers of graphs
Aniversario, Imelda S.; Jamil, Ferdinand P.
Util. Math. 79, 17-29 (2009).
Explicit formulas for the determinants of Toeplitz matrices
Withers, Christopher S.; Nadarajah, Saralees
Util. Math. 79, 31-49 (2009).
A new Turan number for quadrilateral
Shao, Zehui; Xu, Jin; Xu, Xiaodong
Util. Math. 79, 51-58 (2009).
Majorization and applications to block designs
Thomas, Seemon; Thannippara, Alex
Util. Math. 79, 59-69 (2009).
Planar oriented graphs of diameter two
Bau, S.; Dankelmann, P.; Henning, Michael A.
Util. Math. 79, 71-80 (2009).
Connected \(p\)-domination in graphs
Volkmann, Lutz
Util. Math. 79, 81-90 (2009).
Bounds for the geodetic number of the Cartesian product of graphs
Cagaanan, Gilbert B.; Canoy, Sergio R. jun.
Util. Math. 79, 91-98 (2009).
Embedding 4-cycle systems into octagon triple systems
Billington, Elizabeth J.; Küçükçifçi, Selda; Yazıcı, Emine Şule; Lindner, Curt
Util. Math. 79, 99-106 (2009).
Feedback vertex set of generalized de Bruijn digraphs \(GB(d,n)\)
Xirong, Xu; Yang, Yuansheng; Di, Ming
Util. Math. 79, 107-124 (2009).
On the crossing number of some complete multipartite graphs
Ho, Pak Tung
Util. Math. 79, 125-143 (2009).
New combinatorial versions of Göllnitz-Gordon identities
Agarwal, A. K.; Rana, M
Util. Math. 79, 145-155 (2009).
Embedding of \(E_{2}\)-designs into 4-cycle systems
Munda, Maria Adelaide
Util. Math. 79, 157-166 (2009).
Detour saturated oriented graphs
van Aardt, Susan A.; Frick, Marietjie; Dunbar, Jean E.; Oellermann, Ortrud
Util. Math. 79, 167-180 (2009).
Edge magic labeling of graphs
Manickam, K.; Marudai, M.
Util. Math. 79, 181-187 (2009).
The \(k\)-domination number and bounds for the Laplacian eigenvalues of graphs
Li, Rao
Util. Math. 79, 189-192 (2009).
Antimagic labeling of disjoint union of \(s\)-crowns
Bača, Martin; Dafik; Miller, Mirka; Ryan, Joe
Util. Math. 79, 193-205 (2009).
Existence of \(Z\)-cyclic \(DTWh(p)\) and \(Z\)-cyclic \(OTWh(p)\), for primes \(p≡17(mod32)\)
Finizio, Norman J.
Util. Math. 79, 207-219 (2009).
Butterfly factorizations of \(K_{8}\)
Stanton, R. G.; Kocay, W. L.
Util. Math. 79, 221-225 (2009).
On extreme tournaments for two types of generalized exponents
Ye, Xuemei
Util. Math. 79, 227-241 (2009).
On super edge-magic total labeling of banana trees
Hussain, M.; Baskoro, E. T.; Slamin
Util. Math. 79, 243-251 (2009).
\(28\leq R(C_4,C_4,C_3,C_3)\leq 36\)
Xiaodong, Xu; Radziszowski, Stanisław
Util. Math. 79, 253-257 (2009).
Recounting some reciprodal Fibonacci number relations
Shattuck, Mark
Util. Math. 79, 259-265 (2009).
Locally rainbow graphs
Omoomi, Behnaz; Pourmiri, Ali
Util. Math. 79, 267-275 (2009).
On the non-existence of some Steiner \(t-(v,k)\) trades of certain volumes
Asgari, Mehri; Soltankhah, Nasrin
Util. Math. 79, 277-283 (2009).
