The Existence of Quasi Regular and Bi-Regular Self-Complementary 3-Uniform Hypergraphs

A k-uniform hypergraph H = (V ;E) is called self-complementary if there is a permutation σ : V → V , called a complementing permutation, such that for every k-subset e of V , e ∈ E if and only if σ(e) ∉ E. In other words, H is isomorphic with H′ = (V ; V(k) − E). In this paper we define a bi-regular...
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Autor*in:	Kamble Lata N. [verfasserIn] Deshpande Charusheela M. [verfasserIn] Bam Bhagyashree Y. [verfasserIn]

Format:	E-Artikel
Sprache:	Englisch

Erschienen:	2016

Schlagwörter:	self-complementary hypergraph uniform hypergraph regular hypergraph quasi regular hypergraph bi-regular hypergraph

Übergeordnetes Werk:	In: Discussiones Mathematicae Graph Theory - Sciendo, 2014, 36(2016), 2, Seite 419-426
Übergeordnetes Werk:	volume:36 ; year:2016 ; number:2 ; pages:419-426

Links:	Link aufrufen Link aufrufen Link aufrufen Journal toc

DOI / URN:	10.7151/dmgt.1862

Katalog-ID:	DOAJ042501202

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spelling	10.7151/dmgt.1862 doi (DE-627)DOAJ042501202 (DE-599)DOAJ150d8a7d484e478583ec2dd1b7f83d3f DE-627 ger DE-627 rakwb eng QA1-939 Kamble Lata N. verfasserin aut The Existence of Quasi Regular and Bi-Regular Self-Complementary 3-Uniform Hypergraphs 2016 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier A k-uniform hypergraph H = (V ;E) is called self-complementary if there is a permutation σ : V → V , called a complementing permutation, such that for every k-subset e of V , e ∈ E if and only if σ(e) ∉ E. In other words, H is isomorphic with H′ = (V ; V(k) − E). In this paper we define a bi-regular hypergraph and prove that there exists a bi-regular self-complementary 3-uniform hypergraph on n vertices if and only if n is congruent to 0 or 2 modulo 4. We also prove that there exists a quasi regular self-complementary 3-uniform hypergraph on n vertices if and only if n is congruent to 0 modulo 4. self-complementary hypergraph uniform hypergraph regular hypergraph quasi regular hypergraph bi-regular hypergraph Mathematics Deshpande Charusheela M. verfasserin aut Bam Bhagyashree Y. verfasserin aut In Discussiones Mathematicae Graph Theory Sciendo, 2014 36(2016), 2, Seite 419-426 (DE-627)633752266 (DE-600)2568813-3 20835892 nnns volume:36 year:2016 number:2 pages:419-426 https://doi.org/10.7151/dmgt.1862 kostenfrei https://doaj.org/article/150d8a7d484e478583ec2dd1b7f83d3f kostenfrei https://doi.org/10.7151/dmgt.1862 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 36 2016 2 419-426
allfields_unstemmed	10.7151/dmgt.1862 doi (DE-627)DOAJ042501202 (DE-599)DOAJ150d8a7d484e478583ec2dd1b7f83d3f DE-627 ger DE-627 rakwb eng QA1-939 Kamble Lata N. verfasserin aut The Existence of Quasi Regular and Bi-Regular Self-Complementary 3-Uniform Hypergraphs 2016 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier A k-uniform hypergraph H = (V ;E) is called self-complementary if there is a permutation σ : V → V , called a complementing permutation, such that for every k-subset e of V , e ∈ E if and only if σ(e) ∉ E. In other words, H is isomorphic with H′ = (V ; V(k) − E). In this paper we define a bi-regular hypergraph and prove that there exists a bi-regular self-complementary 3-uniform hypergraph on n vertices if and only if n is congruent to 0 or 2 modulo 4. We also prove that there exists a quasi regular self-complementary 3-uniform hypergraph on n vertices if and only if n is congruent to 0 modulo 4. self-complementary hypergraph uniform hypergraph regular hypergraph quasi regular hypergraph bi-regular hypergraph Mathematics Deshpande Charusheela M. verfasserin aut Bam Bhagyashree Y. verfasserin aut In Discussiones Mathematicae Graph Theory Sciendo, 2014 36(2016), 2, Seite 419-426 (DE-627)633752266 (DE-600)2568813-3 20835892 nnns volume:36 year:2016 number:2 pages:419-426 https://doi.org/10.7151/dmgt.1862 kostenfrei https://doaj.org/article/150d8a7d484e478583ec2dd1b7f83d3f kostenfrei https://doi.org/10.7151/dmgt.1862 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 36 2016 2 419-426
allfieldsGer	10.7151/dmgt.1862 doi (DE-627)DOAJ042501202 (DE-599)DOAJ150d8a7d484e478583ec2dd1b7f83d3f DE-627 ger DE-627 rakwb eng QA1-939 Kamble Lata N. verfasserin aut The Existence of Quasi Regular and Bi-Regular Self-Complementary 3-Uniform Hypergraphs 2016 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier A k-uniform hypergraph H = (V ;E) is called self-complementary if there is a permutation σ : V → V , called a complementing permutation, such that for every k-subset e of V , e ∈ E if and only if σ(e) ∉ E. In other words, H is isomorphic with H′ = (V ; V(k) − E). In this paper we define a bi-regular hypergraph and prove that there exists a bi-regular self-complementary 3-uniform hypergraph on n vertices if and only if n is congruent to 0 or 2 modulo 4. We also prove that there exists a quasi regular self-complementary 3-uniform hypergraph on n vertices if and only if n is congruent to 0 modulo 4. self-complementary hypergraph uniform hypergraph regular hypergraph quasi regular hypergraph bi-regular hypergraph Mathematics Deshpande Charusheela M. verfasserin aut Bam Bhagyashree Y. verfasserin aut In Discussiones Mathematicae Graph Theory Sciendo, 2014 36(2016), 2, Seite 419-426 (DE-627)633752266 (DE-600)2568813-3 20835892 nnns volume:36 year:2016 number:2 pages:419-426 https://doi.org/10.7151/dmgt.1862 kostenfrei https://doaj.org/article/150d8a7d484e478583ec2dd1b7f83d3f kostenfrei https://doi.org/10.7151/dmgt.1862 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 36 2016 2 419-426
allfieldsSound	10.7151/dmgt.1862 doi (DE-627)DOAJ042501202 (DE-599)DOAJ150d8a7d484e478583ec2dd1b7f83d3f DE-627 ger DE-627 rakwb eng QA1-939 Kamble Lata N. verfasserin aut The Existence of Quasi Regular and Bi-Regular Self-Complementary 3-Uniform Hypergraphs 2016 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier A k-uniform hypergraph H = (V ;E) is called self-complementary if there is a permutation σ : V → V , called a complementing permutation, such that for every k-subset e of V , e ∈ E if and only if σ(e) ∉ E. In other words, H is isomorphic with H′ = (V ; V(k) − E). In this paper we define a bi-regular hypergraph and prove that there exists a bi-regular self-complementary 3-uniform hypergraph on n vertices if and only if n is congruent to 0 or 2 modulo 4. We also prove that there exists a quasi regular self-complementary 3-uniform hypergraph on n vertices if and only if n is congruent to 0 modulo 4. self-complementary hypergraph uniform hypergraph regular hypergraph quasi regular hypergraph bi-regular hypergraph Mathematics Deshpande Charusheela M. verfasserin aut Bam Bhagyashree Y. verfasserin aut In Discussiones Mathematicae Graph Theory Sciendo, 2014 36(2016), 2, Seite 419-426 (DE-627)633752266 (DE-600)2568813-3 20835892 nnns volume:36 year:2016 number:2 pages:419-426 https://doi.org/10.7151/dmgt.1862 kostenfrei https://doaj.org/article/150d8a7d484e478583ec2dd1b7f83d3f kostenfrei https://doi.org/10.7151/dmgt.1862 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 36 2016 2 419-426
language	English
source	In Discussiones Mathematicae Graph Theory 36(2016), 2, Seite 419-426 volume:36 year:2016 number:2 pages:419-426
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topic_facet	self-complementary hypergraph uniform hypergraph regular hypergraph quasi regular hypergraph bi-regular hypergraph Mathematics
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callnumber-first	Q - Science
author	Kamble Lata N.
spellingShingle	Kamble Lata N. misc QA1-939 misc self-complementary hypergraph misc uniform hypergraph misc regular hypergraph misc quasi regular hypergraph misc bi-regular hypergraph misc Mathematics The Existence of Quasi Regular and Bi-Regular Self-Complementary 3-Uniform Hypergraphs
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topic_title	QA1-939 The Existence of Quasi Regular and Bi-Regular Self-Complementary 3-Uniform Hypergraphs self-complementary hypergraph uniform hypergraph regular hypergraph quasi regular hypergraph bi-regular hypergraph
topic	misc QA1-939 misc self-complementary hypergraph misc uniform hypergraph misc regular hypergraph misc quasi regular hypergraph misc bi-regular hypergraph misc Mathematics
topic_unstemmed	misc QA1-939 misc self-complementary hypergraph misc uniform hypergraph misc regular hypergraph misc quasi regular hypergraph misc bi-regular hypergraph misc Mathematics
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title	The Existence of Quasi Regular and Bi-Regular Self-Complementary 3-Uniform Hypergraphs
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title_sort	existence of quasi regular and bi-regular self-complementary 3-uniform hypergraphs
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title_auth	The Existence of Quasi Regular and Bi-Regular Self-Complementary 3-Uniform Hypergraphs
abstract	A k-uniform hypergraph H = (V ;E) is called self-complementary if there is a permutation σ : V → V , called a complementing permutation, such that for every k-subset e of V , e ∈ E if and only if σ(e) ∉ E. In other words, H is isomorphic with H′ = (V ; V(k) − E). In this paper we define a bi-regular hypergraph and prove that there exists a bi-regular self-complementary 3-uniform hypergraph on n vertices if and only if n is congruent to 0 or 2 modulo 4. We also prove that there exists a quasi regular self-complementary 3-uniform hypergraph on n vertices if and only if n is congruent to 0 modulo 4.
abstractGer	A k-uniform hypergraph H = (V ;E) is called self-complementary if there is a permutation σ : V → V , called a complementing permutation, such that for every k-subset e of V , e ∈ E if and only if σ(e) ∉ E. In other words, H is isomorphic with H′ = (V ; V(k) − E). In this paper we define a bi-regular hypergraph and prove that there exists a bi-regular self-complementary 3-uniform hypergraph on n vertices if and only if n is congruent to 0 or 2 modulo 4. We also prove that there exists a quasi regular self-complementary 3-uniform hypergraph on n vertices if and only if n is congruent to 0 modulo 4.
abstract_unstemmed	A k-uniform hypergraph H = (V ;E) is called self-complementary if there is a permutation σ : V → V , called a complementing permutation, such that for every k-subset e of V , e ∈ E if and only if σ(e) ∉ E. In other words, H is isomorphic with H′ = (V ; V(k) − E). In this paper we define a bi-regular hypergraph and prove that there exists a bi-regular self-complementary 3-uniform hypergraph on n vertices if and only if n is congruent to 0 or 2 modulo 4. We also prove that there exists a quasi regular self-complementary 3-uniform hypergraph on n vertices if and only if n is congruent to 0 modulo 4.
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title_short	The Existence of Quasi Regular and Bi-Regular Self-Complementary 3-Uniform Hypergraphs
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score	7.3994913

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The Existence of Quasi Regular and Bi-Regular Self-Complementary 3-Uniform Hypergraphs

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