Volume 79, (2009)

Volume 79, (2009)

The sum $16^{n} \sum_{k = 0}^{2 n} 4^{k} (\binom{\frac{1}{2}}{k}) (\binom{- \frac{1}{2}}{k}) (\binom{- 2 k}{2 n - k})$ : a proof of its closed form

Larcombe, Peter J.; Larsen, Mogens E.

Util. Math. 79, 3-7 (2009).

Research Article

The sum $16^{n} \sum_{k = 0}^{2 n} 4^{k} (\binom{\frac{1}{2}}{k}) (\binom{- \frac{1}{2}}{k}) (\binom{- 2 k}{2 n - k})$ : a computer assisted proof of its closed form, and some generalised results

Koepf, Wolfram A.; Larcombe, Peter J.

Util. Math. 79, 9-15 (2009).

Research Article

The minimal closed geodetic numbers of graphs

Aniversario, Imelda S.; Jamil, Ferdinand P.

Util. Math. 79, 17-29 (2009).

Research Article

Explicit formulas for the determinants of Toeplitz matrices

Withers, Christopher S.; Nadarajah, Saralees

Util. Math. 79, 31-49 (2009).

Research Article

A new Turan number for quadrilateral

Shao, Zehui; Xu, Jin; Xu, Xiaodong

Util. Math. 79, 51-58 (2009).

Research Article

Majorization and applications to block designs

Thomas, Seemon; Thannippara, Alex

Util. Math. 79, 59-69 (2009).

Research Article

Planar oriented graphs of diameter two

Bau, S.; Dankelmann, P.; Henning, Michael A.

Util. Math. 79, 71-80 (2009).

Research Article

Connected $p$ -domination in graphs

Volkmann, Lutz

Util. Math. 79, 81-90 (2009).

Research Article

Bounds for the geodetic number of the Cartesian product of graphs

Cagaanan, Gilbert B.; Canoy, Sergio R. jun.

Util. Math. 79, 91-98 (2009).

Research Article

Embedding 4-cycle systems into octagon triple systems

Billington, Elizabeth J.; Küçükçifçi, Selda; Yazıcı, Emine Şule; Lindner, Curt

Util. Math. 79, 99-106 (2009).

Research Article

Feedback vertex set of generalized de Bruijn digraphs $G B (d, n)$

Xirong, Xu; Yang, Yuansheng; Di, Ming

Util. Math. 79, 107-124 (2009).

Research Article

On the crossing number of some complete multipartite graphs

Ho, Pak Tung

Util. Math. 79, 125-143 (2009).

Research Article

New combinatorial versions of Göllnitz-Gordon identities

Agarwal, A. K.; Rana, M

Util. Math. 79, 145-155 (2009).

Research Article

Embedding of $E_{2}$ -designs into 4-cycle systems

Munda, Maria Adelaide

Util. Math. 79, 157-166 (2009).

Research Article

Detour saturated oriented graphs

van Aardt, Susan A.; Frick, Marietjie; Dunbar, Jean E.; Oellermann, Ortrud

Util. Math. 79, 167-180 (2009).

Research Article

Edge magic labeling of graphs

Manickam, K.; Marudai, M.

Util. Math. 79, 181-187 (2009).

Research Article

The $k$ -domination number and bounds for the Laplacian eigenvalues of graphs

Li, Rao

Util. Math. 79, 189-192 (2009).

Research Article

Antimagic labeling of disjoint union of $s$ -crowns

Bača, Martin; Dafik; Miller, Mirka; Ryan, Joe

Util. Math. 79, 193-205 (2009).

Research Article

Existence of $Z$ -cyclic $D T W h (p)$ and $Z$ -cyclic $O T W h (p)$ , for primes $p \equiv 17 (m o d 32)$

Finizio, Norman J.

Util. Math. 79, 207-219 (2009).

Research Article

Butterfly factorizations of $K_{8}$

Stanton, R. G.; Kocay, W. L.

Util. Math. 79, 221-225 (2009).

Research Article

On extreme tournaments for two types of generalized exponents

Ye, Xuemei

Util. Math. 79, 227-241 (2009).

Research Article

On super edge-magic total labeling of banana trees

Hussain, M.; Baskoro, E. T.; Slamin

Util. Math. 79, 243-251 (2009).

Research Article

$28 \leq R (C_{4}, C_{4}, C_{3}, C_{3}) \leq 36$

Xiaodong, Xu; Radziszowski, Stanisław

Util. Math. 79, 253-257 (2009).

Research Article

Recounting some reciprodal Fibonacci number relations

Shattuck, Mark

Util. Math. 79, 259-265 (2009).

Research Article

Locally rainbow graphs

Omoomi, Behnaz; Pourmiri, Ali

Util. Math. 79, 267-275 (2009).

Research Article

On the non-existence of some Steiner $t - (v, k)$ trades of certain volumes

Asgari, Mehri; Soltankhah, Nasrin

Util. Math. 79, 277-283 (2009).

Call for papers

Special issue: Dynamical systems and differential equations in applied sciences

Guest editors: Renhai Wang, Mirelson Martins Freitas, Nguyen Huy Tuan

Submission deadline: 03 January 2026

Special Issues

The Combinatorial Press Editorial Office routinely extends invitations to scholars for the guest editing of Special Issues, focusing on topics of interest to the scientific community.

Exciting News from Combinatorial Press!

January 20, 2025

Professor Dr. Sanming Zhou joined Combinatorial Press as Editor-in-Chief of Congressus Numerantium

February 15, 2024

Professor Dr. Gary MacGillivray joined Combinatorial Press as Editor-in-Chief of Ars Combinatoria

January 2, 2024

Combinatorial Press Welcomes Professor Dr. William Lawrence Kocay as Editor in Chief of Utilitas Mathematica

October 11, 2023

Dr. Dalibor Froncek Joins Ars Combinatoria as Managing Editor

August 22, 2023

Volume 79, (2009)

Information Menu

Archive

The sum 16n∑k=02n4k(12k)(−12k)(−2k2n−k): a proof of its closed form

The sum 16n∑k=02n4k(12k)(−12k)(−2k2n−k): a computer assisted proof of its closed form, and some generalised results

The minimal closed geodetic numbers of graphs

Explicit formulas for the determinants of Toeplitz matrices

A new Turan number for quadrilateral

Majorization and applications to block designs

Planar oriented graphs of diameter two

Connected p-domination in graphs

Bounds for the geodetic number of the Cartesian product of graphs

Embedding 4-cycle systems into octagon triple systems

Feedback vertex set of generalized de Bruijn digraphs GB(d,n)

On the crossing number of some complete multipartite graphs

New combinatorial versions of Göllnitz-Gordon identities

Embedding of E2-designs into 4-cycle systems

Detour saturated oriented graphs

Edge magic labeling of graphs

The k-domination number and bounds for the Laplacian eigenvalues of graphs

Antimagic labeling of disjoint union of s-crowns

Existence of Z-cyclic DTWh(p) and Z-cyclic OTWh(p), for primes p≡17(mod32)

Butterfly factorizations of K8

On extreme tournaments for two types of generalized exponents

On super edge-magic total labeling of banana trees

28≤R(C4,C4,C3,C3)≤36

Recounting some reciprodal Fibonacci number relations

Locally rainbow graphs

On the non-existence of some Steiner t−(v,k) trades of certain volumes

E-mail Alert

Call for papers

Special Issues

News & Announcements

Exciting News from Combinatorial Press!

Professor Dr. Sanming Zhou joined Combinatorial Press as Editor-in-Chief of Congressus Numerantium

Professor Dr. Gary MacGillivray joined Combinatorial Press as Editor-in-Chief of Ars Combinatoria

Combinatorial Press Welcomes Professor Dr. William Lawrence Kocay as Editor in Chief of Utilitas Mathematica

Dr. Dalibor Froncek Joins Ars Combinatoria as Managing Editor

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The sum $16^{n} \sum_{k = 0}^{2 n} 4^{k} (\binom{\frac{1}{2}}{k}) (\binom{- \frac{1}{2}}{k}) (\binom{- 2 k}{2 n - k})$ : a proof of its closed form

The sum $16^{n} \sum_{k = 0}^{2 n} 4^{k} (\binom{\frac{1}{2}}{k}) (\binom{- \frac{1}{2}}{k}) (\binom{- 2 k}{2 n - k})$ : a computer assisted proof of its closed form, and some generalised results

Connected $p$ -domination in graphs

Feedback vertex set of generalized de Bruijn digraphs $G B (d, n)$

Embedding of $E_{2}$ -designs into 4-cycle systems

The $k$ -domination number and bounds for the Laplacian eigenvalues of graphs

Antimagic labeling of disjoint union of $s$ -crowns

Existence of $Z$ -cyclic $D T W h (p)$ and $Z$ -cyclic $O T W h (p)$ , for primes $p \equiv 17 (m o d 32)$

Butterfly factorizations of $K_{8}$

$28 \leq R (C_{4}, C_{4}, C_{3}, C_{3}) \leq 36$

On the non-existence of some Steiner $t - (v, k)$ trades of certain volumes