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Ariannejad, Masoud, Emami, Mojgan, Naserian, Ozra. (1395). A family of $t$-regular ‎self-complementary $k$-hypergraphs. , 6(1), 39-46. doi: 10.22108/toc.2017.20363
Masoud Ariannejad; Mojgan Emami; Ozra Naserian. "A family of $t$-regular ‎self-complementary $k$-hypergraphs". , 6, 1, 1395, 39-46. doi: 10.22108/toc.2017.20363
Ariannejad, Masoud, Emami, Mojgan, Naserian, Ozra. (1395). 'A family of $t$-regular ‎self-complementary $k$-hypergraphs', , 6(1), pp. 39-46. doi: 10.22108/toc.2017.20363
Ariannejad, Masoud, Emami, Mojgan, Naserian, Ozra. A family of $t$-regular ‎self-complementary $k$-hypergraphs. , 1395; 6(1): 39-46. doi: 10.22108/toc.2017.20363

A family of $t$-regular ‎self-complementary $k$-hypergraphs

Transactions on Combinatorics
مقاله 4، دوره 6، شماره 1، خرداد 2017، صفحه 39-46    اصل مقاله (235.74 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22108/toc.2017.20363
نویسندگان
Masoud Ariannejad* 1؛ Mojgan Emami2؛ Ozra Naserian3
1University of zanjan
2Department of Mathematics, University of Zanjan
3Department of Mathematics, University of Zanjan
چکیده
We use the recursive method of construction large sets of t-designs given by Qiu-rong Wu [A note on extending t-designs‎, Australas‎. ‎J‎. ‎Combin.‎, 4 (1991) 229--235.], and present a similar method for constructing $t$-subset-regular‎ ‎self-complementary $k$-uniform hypergraphs of order $v$‎. ‎As an‎ ‎application we show the existence of a new family of $2$-subset-regular‎ ‎self-complementary $4$-uniform hypergraphs with $v=16m+3$‎.
کلیدواژه‌ها
Self-complementary‎ ‎hypergraph‎؛ ‎Uniform hypergraph‎؛ ‎Regular hypergraph‎؛ ‎Large sets of t-designs
مراجع
[1] G. B. Khosrovshahi and R. Laue, t-Designs, t≤3, in: Handbook of combinatorial designs, 2nd ed. (C. J. Colb ourn and J. H. Dinitz, eds.), CRC press, Bo ca Raton, (2007) 98-110.

[2] G. B. Khosrovshahi, R. Laue and B. Tayfeh-Rezaie, On large sets of t-designs of size four, Bayreuth. Math. Schr., 74 (2005) 136-144.

[3] G. B. Khosrovshahi and B. Tayfeh-Rezaie, Ro ot cases of large sets of t-designs, Discrete Math., 263 (2003) 143-155.

[4] M. Knor and P. Poto cnik, A note on 2-subset-regular self-complementary 3-uniform hyp ergraphs, Ars Combin., 111 (2013) 33-36.

[5] W. Ko cay, Reconstructing graphs as subsumed graphs of hyp ergraphs and some self-complementary triple systems, Graphs and Combin., 8 (1992) 259-276.

[6] E. S. Kramer and D. M. Mesner, t-designs on hyp ergraphs, Discrete Math., 15 (1976) 263-296.

[7] Qiu-rong Wu, A note on extending t-designs, Australas. J. Combin., 4 (1991) 229-235.

[8] A. Szymanski, A note on self-complementary 4-uniform hyp ergraphs, Opuscula Math., 25 (2005) 319-323.

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