Almost Self-Complementary 3-Uniform Hypergraphs

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 structu...
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Autor*in:	Kamble Lata N. [verfasserIn] Deshpande Charusheela M. [verfasserIn] Bam Bhagyashree Y. [verfasserIn]

Format:	E-Artikel
Sprache:	Englisch

Erschienen:	2017

Schlagwörter:	uniform hypergraph self-complementary hypergraph almost complete 3-uniform hypergraph almost self-complementary hypergraph quasi regular hypergraph 05c65

Übergeordnetes Werk:	In: Discussiones Mathematicae Graph Theory - Sciendo, 2014, 37(2017), 1, Seite 131-140
Übergeordnetes Werk:	volume:37 ; year:2017 ; number:1 ; pages:131-140

Links:	Link aufrufen Link aufrufen Link aufrufen Journal toc

DOI / URN:	10.7151/dmgt.1919

Katalog-ID:	DOAJ042498589

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520			\|a 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.
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allfields	10.7151/dmgt.1919 doi (DE-627)DOAJ042498589 (DE-599)DOAJf6aeab5dc4c243558d3186c61e381bfb DE-627 ger DE-627 rakwb eng QA1-939 Kamble Lata N. verfasserin aut Almost Self-Complementary 3-Uniform Hypergraphs 2017 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier 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. uniform hypergraph self-complementary hypergraph almost complete 3-uniform hypergraph almost self-complementary hypergraph quasi regular hypergraph 05c65 Mathematics Deshpande Charusheela M. verfasserin aut Bam Bhagyashree Y. verfasserin aut In Discussiones Mathematicae Graph Theory Sciendo, 2014 37(2017), 1, Seite 131-140 (DE-627)633752266 (DE-600)2568813-3 20835892 nnns volume:37 year:2017 number:1 pages:131-140 https://doi.org/10.7151/dmgt.1919 kostenfrei https://doaj.org/article/f6aeab5dc4c243558d3186c61e381bfb kostenfrei https://doi.org/10.7151/dmgt.1919 kostenfrei https://doaj.org/toc/2083-5892 Journal toc kostenfrei GBV_USEFLAG_A SYSFLAG_A GBV_DOAJ GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_206 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_2005 GBV_ILN_2009 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2055 GBV_ILN_2111 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 AR 37 2017 1 131-140
spelling	10.7151/dmgt.1919 doi (DE-627)DOAJ042498589 (DE-599)DOAJf6aeab5dc4c243558d3186c61e381bfb DE-627 ger DE-627 rakwb eng QA1-939 Kamble Lata N. verfasserin aut Almost Self-Complementary 3-Uniform Hypergraphs 2017 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier 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. uniform hypergraph self-complementary hypergraph almost complete 3-uniform hypergraph almost self-complementary hypergraph quasi regular hypergraph 05c65 Mathematics Deshpande Charusheela M. verfasserin aut Bam Bhagyashree Y. verfasserin aut In Discussiones Mathematicae Graph Theory Sciendo, 2014 37(2017), 1, Seite 131-140 (DE-627)633752266 (DE-600)2568813-3 20835892 nnns volume:37 year:2017 number:1 pages:131-140 https://doi.org/10.7151/dmgt.1919 kostenfrei https://doaj.org/article/f6aeab5dc4c243558d3186c61e381bfb kostenfrei https://doi.org/10.7151/dmgt.1919 kostenfrei https://doaj.org/toc/2083-5892 Journal toc kostenfrei GBV_USEFLAG_A SYSFLAG_A GBV_DOAJ GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_206 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_2005 GBV_ILN_2009 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2055 GBV_ILN_2111 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 AR 37 2017 1 131-140
allfields_unstemmed	10.7151/dmgt.1919 doi (DE-627)DOAJ042498589 (DE-599)DOAJf6aeab5dc4c243558d3186c61e381bfb DE-627 ger DE-627 rakwb eng QA1-939 Kamble Lata N. verfasserin aut Almost Self-Complementary 3-Uniform Hypergraphs 2017 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier 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. uniform hypergraph self-complementary hypergraph almost complete 3-uniform hypergraph almost self-complementary hypergraph quasi regular hypergraph 05c65 Mathematics Deshpande Charusheela M. verfasserin aut Bam Bhagyashree Y. verfasserin aut In Discussiones Mathematicae Graph Theory Sciendo, 2014 37(2017), 1, Seite 131-140 (DE-627)633752266 (DE-600)2568813-3 20835892 nnns volume:37 year:2017 number:1 pages:131-140 https://doi.org/10.7151/dmgt.1919 kostenfrei https://doaj.org/article/f6aeab5dc4c243558d3186c61e381bfb kostenfrei https://doi.org/10.7151/dmgt.1919 kostenfrei https://doaj.org/toc/2083-5892 Journal toc kostenfrei GBV_USEFLAG_A SYSFLAG_A GBV_DOAJ GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_206 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_2005 GBV_ILN_2009 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2055 GBV_ILN_2111 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 AR 37 2017 1 131-140
allfieldsGer	10.7151/dmgt.1919 doi (DE-627)DOAJ042498589 (DE-599)DOAJf6aeab5dc4c243558d3186c61e381bfb DE-627 ger DE-627 rakwb eng QA1-939 Kamble Lata N. verfasserin aut Almost Self-Complementary 3-Uniform Hypergraphs 2017 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier 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. uniform hypergraph self-complementary hypergraph almost complete 3-uniform hypergraph almost self-complementary hypergraph quasi regular hypergraph 05c65 Mathematics Deshpande Charusheela M. verfasserin aut Bam Bhagyashree Y. verfasserin aut In Discussiones Mathematicae Graph Theory Sciendo, 2014 37(2017), 1, Seite 131-140 (DE-627)633752266 (DE-600)2568813-3 20835892 nnns volume:37 year:2017 number:1 pages:131-140 https://doi.org/10.7151/dmgt.1919 kostenfrei https://doaj.org/article/f6aeab5dc4c243558d3186c61e381bfb kostenfrei https://doi.org/10.7151/dmgt.1919 kostenfrei https://doaj.org/toc/2083-5892 Journal toc kostenfrei GBV_USEFLAG_A SYSFLAG_A GBV_DOAJ GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_206 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_2005 GBV_ILN_2009 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2055 GBV_ILN_2111 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 AR 37 2017 1 131-140
allfieldsSound	10.7151/dmgt.1919 doi (DE-627)DOAJ042498589 (DE-599)DOAJf6aeab5dc4c243558d3186c61e381bfb DE-627 ger DE-627 rakwb eng QA1-939 Kamble Lata N. verfasserin aut Almost Self-Complementary 3-Uniform Hypergraphs 2017 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier 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. uniform hypergraph self-complementary hypergraph almost complete 3-uniform hypergraph almost self-complementary hypergraph quasi regular hypergraph 05c65 Mathematics Deshpande Charusheela M. verfasserin aut Bam Bhagyashree Y. verfasserin aut In Discussiones Mathematicae Graph Theory Sciendo, 2014 37(2017), 1, Seite 131-140 (DE-627)633752266 (DE-600)2568813-3 20835892 nnns volume:37 year:2017 number:1 pages:131-140 https://doi.org/10.7151/dmgt.1919 kostenfrei https://doaj.org/article/f6aeab5dc4c243558d3186c61e381bfb kostenfrei https://doi.org/10.7151/dmgt.1919 kostenfrei https://doaj.org/toc/2083-5892 Journal toc kostenfrei GBV_USEFLAG_A SYSFLAG_A GBV_DOAJ GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_206 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_2005 GBV_ILN_2009 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2055 GBV_ILN_2111 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 AR 37 2017 1 131-140
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source	In Discussiones Mathematicae Graph Theory 37(2017), 1, Seite 131-140 volume:37 year:2017 number:1 pages:131-140
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spellingShingle	Kamble Lata N. misc QA1-939 misc uniform hypergraph misc self-complementary hypergraph misc almost complete 3-uniform hypergraph misc almost self-complementary hypergraph misc quasi regular hypergraph misc 05c65 misc Mathematics Almost Self-Complementary 3-Uniform Hypergraphs
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topic_title	QA1-939 Almost Self-Complementary 3-Uniform Hypergraphs uniform hypergraph self-complementary hypergraph almost complete 3-uniform hypergraph almost self-complementary hypergraph quasi regular hypergraph 05c65
topic	misc QA1-939 misc uniform hypergraph misc self-complementary hypergraph misc almost complete 3-uniform hypergraph misc almost self-complementary hypergraph misc quasi regular hypergraph misc 05c65 misc Mathematics
topic_unstemmed	misc QA1-939 misc uniform hypergraph misc self-complementary hypergraph misc almost complete 3-uniform hypergraph misc almost self-complementary hypergraph misc quasi regular hypergraph misc 05c65 misc Mathematics
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title_sort	almost self-complementary 3-uniform hypergraphs
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title_auth	Almost Self-Complementary 3-Uniform Hypergraphs
abstract	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.
abstractGer	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.
abstract_unstemmed	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.
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title_short	Almost Self-Complementary 3-Uniform Hypergraphs
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