Geodesic
Almost Self-Complementary 3-Uniform Hypergraphs
Discussiones Mathematicae. Graph Theory, Tome 37 (2017) no. 1, pp. 131-140

Voir la notice de l'article provenant de la source Library of Science

It is known that self-complementary 3-uniform hypergraphs on n vertices exist if and only if n is congruent to 0, 1 or 2 modulo 4. In this paper we define an almost self-complementary 3-uniform hypergraph on n vertices and prove that it exists if and only if n is congruent to 3 modulo 4. The structure of corresponding complementing permutation is also analyzed. Further, we prove that there does not exist a regular almost self-complementary 3-uniform hypergraph on n vertices where n is congruent to 3 modulo 4, and it is proved that there exist a quasi regular almost self-complementary 3-uniform hypergraph on n vertices where n is congruent to 3 modulo 4.
Keywords: uniform hypergraph, self-complementary hypergraph, almost complete 3-uniform hypergraph, almost self-complementary hypergraph, quasi regular hypergraph 
@article{DMGT_2017_37_1_a9,
     author = {Kamble, Lata N. and Deshpande, Charusheela M. and Bam, Bhagyashree Y.},
     title = {Almost {Self-Complementary} {3-Uniform} {Hypergraphs}},
     journal = {Discussiones Mathematicae. Graph Theory},
     pages = {131--140},
     publisher = {mathdoc},
     volume = {37},
     number = {1},
     year = {2017},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/DMGT_2017_37_1_a9/}
}
TY  - JOUR
AU  - Kamble, Lata N.
AU  - Deshpande, Charusheela M.
AU  - Bam, Bhagyashree Y.
TI  - Almost Self-Complementary 3-Uniform Hypergraphs
JO  - Discussiones Mathematicae. Graph Theory
PY  - 2017
SP  - 131
EP  - 140
VL  - 37
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/DMGT_2017_37_1_a9/
LA  - en
ID  - DMGT_2017_37_1_a9
ER  - 
%0 Journal Article
%A Kamble, Lata N.
%A Deshpande, Charusheela M.
%A Bam, Bhagyashree Y.
%T Almost Self-Complementary 3-Uniform Hypergraphs
%J Discussiones Mathematicae. Graph Theory
%D 2017
%P 131-140
%V 37
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/DMGT_2017_37_1_a9/
%G en
%F DMGT_2017_37_1_a9
Kamble, Lata N.; Deshpande, Charusheela M.; Bam, Bhagyashree Y. Almost Self-Complementary 3-Uniform Hypergraphs. Discussiones Mathematicae. Graph Theory, Tome 37 (2017) no. 1, pp. 131-140. http://geodesic.mathdoc.fr/item/DMGT_2017_37_1_a9/