A Note on the E-Optimality of Regular Line Graph Designs

Abstract The recent work of Cameron (2009) on real symmetric matrices with zero diagonals, −1, 0, 1 entries, constant row sums, and the smallest eigenvalues greater than −2 provides a useful tool for studying E-optimal block designs. We use a result that restricts the possible values of the common r...
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Autor*in:	Cheng, Ching-Shui [verfasserIn]

Format:	E-Artikel
Sprache:	Englisch

Erschienen:	2012

Schlagwörter:	-type partially balanced incomplete block designs Regular graph designs Root systems Triangular partially balanced incomplete block designs

Anmerkung:	© Grace Scientific Publishing 2012

Übergeordnetes Werk:	Enthalten in: Journal of statistical theory and practice - Cham : Springer International Publishing, 2007, 6(2012), 1 vom: 01. März, Seite 162-168
Übergeordnetes Werk:	volume:6 ; year:2012 ; number:1 ; day:01 ; month:03 ; pages:162-168

Links:	Volltext

DOI / URN:	10.1080/15598608.2012.647558

Katalog-ID:	SPR038618419

Internformat


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publishDate	2012
allfields	10.1080/15598608.2012.647558 doi (DE-627)SPR038618419 (SPR)15598608.2012.647558-e DE-627 ger DE-627 rakwb eng Cheng, Ching-Shui verfasserin aut A Note on the E-Optimality of Regular Line Graph Designs 2012 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © Grace Scientific Publishing 2012 Abstract The recent work of Cameron (2009) on real symmetric matrices with zero diagonals, −1, 0, 1 entries, constant row sums, and the smallest eigenvalues greater than −2 provides a useful tool for studying E-optimal block designs. We use a result that restricts the possible values of the common row sum to show the E-optimality of some regular graph designs whose associated graphs are line graphs. In particular, L2-type and triangular partially balanced incomplete block designs with $ λ_{2} $ = $ λ_{1} $ + 1 are shown to be E-optimal. -type partially balanced incomplete block designs (dpeaa)DE-He213 Regular graph designs (dpeaa)DE-He213 Root systems (dpeaa)DE-He213 Triangular partially balanced incomplete block designs (dpeaa)DE-He213 Enthalten in Journal of statistical theory and practice Cham : Springer International Publishing, 2007 6(2012), 1 vom: 01. März, Seite 162-168 (DE-627)771398247 (DE-600)2740991-0 1559-8616 nnns volume:6 year:2012 number:1 day:01 month:03 pages:162-168 https://dx.doi.org/10.1080/15598608.2012.647558 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 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_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_266 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2088 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2118 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 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_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 AR 6 2012 1 01 03 162-168
spelling	10.1080/15598608.2012.647558 doi (DE-627)SPR038618419 (SPR)15598608.2012.647558-e DE-627 ger DE-627 rakwb eng Cheng, Ching-Shui verfasserin aut A Note on the E-Optimality of Regular Line Graph Designs 2012 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © Grace Scientific Publishing 2012 Abstract The recent work of Cameron (2009) on real symmetric matrices with zero diagonals, −1, 0, 1 entries, constant row sums, and the smallest eigenvalues greater than −2 provides a useful tool for studying E-optimal block designs. We use a result that restricts the possible values of the common row sum to show the E-optimality of some regular graph designs whose associated graphs are line graphs. In particular, L2-type and triangular partially balanced incomplete block designs with $ λ_{2} $ = $ λ_{1} $ + 1 are shown to be E-optimal. -type partially balanced incomplete block designs (dpeaa)DE-He213 Regular graph designs (dpeaa)DE-He213 Root systems (dpeaa)DE-He213 Triangular partially balanced incomplete block designs (dpeaa)DE-He213 Enthalten in Journal of statistical theory and practice Cham : Springer International Publishing, 2007 6(2012), 1 vom: 01. März, Seite 162-168 (DE-627)771398247 (DE-600)2740991-0 1559-8616 nnns volume:6 year:2012 number:1 day:01 month:03 pages:162-168 https://dx.doi.org/10.1080/15598608.2012.647558 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 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_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_266 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2088 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2118 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 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_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 AR 6 2012 1 01 03 162-168
allfields_unstemmed	10.1080/15598608.2012.647558 doi (DE-627)SPR038618419 (SPR)15598608.2012.647558-e DE-627 ger DE-627 rakwb eng Cheng, Ching-Shui verfasserin aut A Note on the E-Optimality of Regular Line Graph Designs 2012 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © Grace Scientific Publishing 2012 Abstract The recent work of Cameron (2009) on real symmetric matrices with zero diagonals, −1, 0, 1 entries, constant row sums, and the smallest eigenvalues greater than −2 provides a useful tool for studying E-optimal block designs. We use a result that restricts the possible values of the common row sum to show the E-optimality of some regular graph designs whose associated graphs are line graphs. In particular, L2-type and triangular partially balanced incomplete block designs with $ λ_{2} $ = $ λ_{1} $ + 1 are shown to be E-optimal. -type partially balanced incomplete block designs (dpeaa)DE-He213 Regular graph designs (dpeaa)DE-He213 Root systems (dpeaa)DE-He213 Triangular partially balanced incomplete block designs (dpeaa)DE-He213 Enthalten in Journal of statistical theory and practice Cham : Springer International Publishing, 2007 6(2012), 1 vom: 01. März, Seite 162-168 (DE-627)771398247 (DE-600)2740991-0 1559-8616 nnns volume:6 year:2012 number:1 day:01 month:03 pages:162-168 https://dx.doi.org/10.1080/15598608.2012.647558 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 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_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_266 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2088 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2118 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 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_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 AR 6 2012 1 01 03 162-168
allfieldsGer	10.1080/15598608.2012.647558 doi (DE-627)SPR038618419 (SPR)15598608.2012.647558-e DE-627 ger DE-627 rakwb eng Cheng, Ching-Shui verfasserin aut A Note on the E-Optimality of Regular Line Graph Designs 2012 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © Grace Scientific Publishing 2012 Abstract The recent work of Cameron (2009) on real symmetric matrices with zero diagonals, −1, 0, 1 entries, constant row sums, and the smallest eigenvalues greater than −2 provides a useful tool for studying E-optimal block designs. We use a result that restricts the possible values of the common row sum to show the E-optimality of some regular graph designs whose associated graphs are line graphs. In particular, L2-type and triangular partially balanced incomplete block designs with $ λ_{2} $ = $ λ_{1} $ + 1 are shown to be E-optimal. -type partially balanced incomplete block designs (dpeaa)DE-He213 Regular graph designs (dpeaa)DE-He213 Root systems (dpeaa)DE-He213 Triangular partially balanced incomplete block designs (dpeaa)DE-He213 Enthalten in Journal of statistical theory and practice Cham : Springer International Publishing, 2007 6(2012), 1 vom: 01. März, Seite 162-168 (DE-627)771398247 (DE-600)2740991-0 1559-8616 nnns volume:6 year:2012 number:1 day:01 month:03 pages:162-168 https://dx.doi.org/10.1080/15598608.2012.647558 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 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_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_266 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2088 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2118 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 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_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 AR 6 2012 1 01 03 162-168
allfieldsSound	10.1080/15598608.2012.647558 doi (DE-627)SPR038618419 (SPR)15598608.2012.647558-e DE-627 ger DE-627 rakwb eng Cheng, Ching-Shui verfasserin aut A Note on the E-Optimality of Regular Line Graph Designs 2012 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © Grace Scientific Publishing 2012 Abstract The recent work of Cameron (2009) on real symmetric matrices with zero diagonals, −1, 0, 1 entries, constant row sums, and the smallest eigenvalues greater than −2 provides a useful tool for studying E-optimal block designs. We use a result that restricts the possible values of the common row sum to show the E-optimality of some regular graph designs whose associated graphs are line graphs. In particular, L2-type and triangular partially balanced incomplete block designs with $ λ_{2} $ = $ λ_{1} $ + 1 are shown to be E-optimal. -type partially balanced incomplete block designs (dpeaa)DE-He213 Regular graph designs (dpeaa)DE-He213 Root systems (dpeaa)DE-He213 Triangular partially balanced incomplete block designs (dpeaa)DE-He213 Enthalten in Journal of statistical theory and practice Cham : Springer International Publishing, 2007 6(2012), 1 vom: 01. März, Seite 162-168 (DE-627)771398247 (DE-600)2740991-0 1559-8616 nnns volume:6 year:2012 number:1 day:01 month:03 pages:162-168 https://dx.doi.org/10.1080/15598608.2012.647558 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 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_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_266 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2088 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2118 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 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_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 AR 6 2012 1 01 03 162-168
language	English
source	Enthalten in Journal of statistical theory and practice 6(2012), 1 vom: 01. März, Seite 162-168 volume:6 year:2012 number:1 day:01 month:03 pages:162-168
sourceStr	Enthalten in Journal of statistical theory and practice 6(2012), 1 vom: 01. März, Seite 162-168 volume:6 year:2012 number:1 day:01 month:03 pages:162-168
format_phy_str_mv	Article
institution	findex.gbv.de
topic_facet	-type partially balanced incomplete block designs Regular graph designs Root systems Triangular partially balanced incomplete block designs
isfreeaccess_bool	false
container_title	Journal of statistical theory and practice
authorswithroles_txt_mv	Cheng, Ching-Shui @@aut@@
publishDateDaySort_date	2012-03-01T00:00:00Z
hierarchy_top_id	771398247
id	SPR038618419
language_de	englisch
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author	Cheng, Ching-Shui
spellingShingle	Cheng, Ching-Shui misc -type partially balanced incomplete block designs misc Regular graph designs misc Root systems misc Triangular partially balanced incomplete block designs A Note on the E-Optimality of Regular Line Graph Designs
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topic_title	A Note on the E-Optimality of Regular Line Graph Designs -type partially balanced incomplete block designs (dpeaa)DE-He213 Regular graph designs (dpeaa)DE-He213 Root systems (dpeaa)DE-He213 Triangular partially balanced incomplete block designs (dpeaa)DE-He213
topic	misc -type partially balanced incomplete block designs misc Regular graph designs misc Root systems misc Triangular partially balanced incomplete block designs
topic_unstemmed	misc -type partially balanced incomplete block designs misc Regular graph designs misc Root systems misc Triangular partially balanced incomplete block designs
topic_browse	misc -type partially balanced incomplete block designs misc Regular graph designs misc Root systems misc Triangular partially balanced incomplete block designs
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title	A Note on the E-Optimality of Regular Line Graph Designs
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title_full	A Note on the E-Optimality of Regular Line Graph Designs
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doi_str_mv	10.1080/15598608.2012.647558
title_sort	note on the e-optimality of regular line graph designs
title_auth	A Note on the E-Optimality of Regular Line Graph Designs
abstract	Abstract The recent work of Cameron (2009) on real symmetric matrices with zero diagonals, −1, 0, 1 entries, constant row sums, and the smallest eigenvalues greater than −2 provides a useful tool for studying E-optimal block designs. We use a result that restricts the possible values of the common row sum to show the E-optimality of some regular graph designs whose associated graphs are line graphs. In particular, L2-type and triangular partially balanced incomplete block designs with $ λ_{2} $ = $ λ_{1} $ + 1 are shown to be E-optimal. © Grace Scientific Publishing 2012
abstractGer	Abstract The recent work of Cameron (2009) on real symmetric matrices with zero diagonals, −1, 0, 1 entries, constant row sums, and the smallest eigenvalues greater than −2 provides a useful tool for studying E-optimal block designs. We use a result that restricts the possible values of the common row sum to show the E-optimality of some regular graph designs whose associated graphs are line graphs. In particular, L2-type and triangular partially balanced incomplete block designs with $ λ_{2} $ = $ λ_{1} $ + 1 are shown to be E-optimal. © Grace Scientific Publishing 2012
abstract_unstemmed	Abstract The recent work of Cameron (2009) on real symmetric matrices with zero diagonals, −1, 0, 1 entries, constant row sums, and the smallest eigenvalues greater than −2 provides a useful tool for studying E-optimal block designs. We use a result that restricts the possible values of the common row sum to show the E-optimality of some regular graph designs whose associated graphs are line graphs. In particular, L2-type and triangular partially balanced incomplete block designs with $ λ_{2} $ = $ λ_{1} $ + 1 are shown to be E-optimal. © Grace Scientific Publishing 2012
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title_short	A Note on the E-Optimality of Regular Line Graph Designs
url	https://dx.doi.org/10.1080/15598608.2012.647558
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We use a result that restricts the possible values of the common row sum to show the E-optimality of some regular graph designs whose associated graphs are line graphs. 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A Note on the E-Optimality of Regular Line Graph Designs

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