Abiad, A.; Coutinho, G.; Fiol, M. A.; Nogueira, B. D.; Zeijlemaker, S. Optimization of eigenvalue bounds for the independence and chromatic number of graph powers. (English) Zbl 1481.05092 Discrete Math. 345, No. 3, Article ID 112706, 15 p. (2022). Reviewer: Abdullah Alazemi (Kuwait City) MSC: 05C50 05C15 05C69 90C10 PDF BibTeX XML Cite \textit{A. Abiad} et al., Discrete Math. 345, No. 3, Article ID 112706, 15 p. (2022; Zbl 1481.05092) Full Text: DOI arXiv OpenURL
Filipovski, Slobodan A lower bound for the discriminant of polynomials related to Chebyshev polynomials. (English) Zbl 1472.05158 Discrete Math. 344, No. 3, Article ID 112235, 6 p. (2021). Reviewer: Eduardo Camps (Ciudad de México) MSC: 05E30 05C12 05C07 33C45 42C05 PDF BibTeX XML Cite \textit{S. Filipovski}, Discrete Math. 344, No. 3, Article ID 112235, 6 p. (2021; Zbl 1472.05158) Full Text: DOI OpenURL
Fiol, Miquel Àngel; Penjic, Safet On a version of the spectral excess theorem. (English) Zbl 1468.05149 Electron. J. Graph Theory Appl. 8, No. 2, 391-400 (2020). MSC: 05C50 05E30 PDF BibTeX XML Cite \textit{M. À. Fiol} and \textit{S. Penjic}, Electron. J. Graph Theory Appl. 8, No. 2, 391--400 (2020; Zbl 1468.05149) Full Text: DOI arXiv OpenURL
Fernández, Blas; Miklavič, Štefko On the Terwilliger algebra of distance-biregular graphs. (English) Zbl 1448.05099 Linear Algebra Appl. 597, 18-32 (2020). Reviewer: Vilmar Trevisan (Porto Alegre) MSC: 05C25 PDF BibTeX XML Cite \textit{B. Fernández} and \textit{Š. Miklavič}, Linear Algebra Appl. 597, 18--32 (2020; Zbl 1448.05099) Full Text: DOI OpenURL
Dalfó, Cristina; Fiol, M. A.; Koolen, J. The spectral excess theorem for graphs with few eigenvalues whose distance-2 or distance-1-or-2 graph is strongly regular. (English) Zbl 1425.05091 Linear Multilinear Algebra 67, No. 12, 2373-2381 (2019). MSC: 05C50 05E30 05C12 PDF BibTeX XML Cite \textit{C. Dalfó} et al., Linear Multilinear Algebra 67, No. 12, 2373--2381 (2019; Zbl 1425.05091) Full Text: DOI arXiv Link OpenURL
Abiad, A.; Coutinho, G.; Fiol, M. A. On the \(k\)-independence number of graphs. (English) Zbl 1417.05148 Discrete Math. 342, No. 10, 2875-2885 (2019). MSC: 05C69 05C50 05C12 PDF BibTeX XML Cite \textit{A. Abiad} et al., Discrete Math. 342, No. 10, 2875--2885 (2019; Zbl 1417.05148) Full Text: DOI arXiv OpenURL
Abiad, Aida A characterization and an application of weight-regular partitions of graphs. (English) Zbl 1411.05213 Linear Algebra Appl. 569, 162-174 (2019). MSC: 05C70 05C22 05C50 05C69 PDF BibTeX XML Cite \textit{A. Abiad}, Linear Algebra Appl. 569, 162--174 (2019; Zbl 1411.05213) Full Text: DOI arXiv OpenURL
Shafiei, Fateme A spectral excess theorem for digraphs with normal Laplacian matrices. (English) Zbl 1463.05354 Trans. Comb. 7, No. 3, 19-28 (2018). MSC: 05C50 05E30 05C20 PDF BibTeX XML Cite \textit{F. Shafiei}, Trans. Comb. 7, No. 3, 19--28 (2018; Zbl 1463.05354) Full Text: DOI OpenURL
Abiad, Aida; Cioabă, Sebastian M.; Tait, Michael Spectral bounds for the \(k\)-independence number of a graph. (English) Zbl 1352.05107 Linear Algebra Appl. 510, 160-170 (2016). MSC: 05C50 05C69 PDF BibTeX XML Cite \textit{A. Abiad} et al., Linear Algebra Appl. 510, 160--170 (2016; Zbl 1352.05107) Full Text: DOI arXiv OpenURL
Fiol, M. A. The spectral excess theorem for distance-regular graphs having distance-\(d\) graph with fewer distinct eigenvalues. (English) Zbl 1339.05090 J. Algebr. Comb. 43, No. 4, 827-836 (2016). MSC: 05C12 05C50 PDF BibTeX XML Cite \textit{M. A. Fiol}, J. Algebr. Comb. 43, No. 4, 827--836 (2016; Zbl 1339.05090) Full Text: DOI arXiv OpenURL
Coutinho, Gabriel Spectrally extremal vertices, strong cospectrality, and state transfer. (English) Zbl 1333.05179 Electron. J. Comb. 23, No. 1, Research Paper P1.46, 12 p. (2016). MSC: 05C50 05E30 81P68 PDF BibTeX XML Cite \textit{G. Coutinho}, Electron. J. Comb. 23, No. 1, Research Paper P1.46, 12 p. (2016; Zbl 1333.05179) Full Text: arXiv Link OpenURL
Fiol, M. A. Quotient-polynomial graphs. (English) Zbl 1326.05174 Linear Algebra Appl. 488, 363-376 (2016). MSC: 05E30 05E05 05C50 05C12 42C05 PDF BibTeX XML Cite \textit{M. A. Fiol}, Linear Algebra Appl. 488, 363--376 (2016; Zbl 1326.05174) Full Text: DOI arXiv OpenURL
Fiol, M. A. The spectral excess theorem for distance-regular graphs having distance-\(d\) graph with fewer distinct eigenvalues. (English) Zbl 1346.05163 Nešetril, Jaroslav (ed.) et al., Extended abstracts of the eight European conference on combinatorics, graph theory and applications, EuroComb 2015, Bergen, Norway, August 31 – September 4, 2015. Amsterdam: Elsevier. Electronic Notes in Discrete Mathematics 49, 457-463, electronic only (2015). MSC: 05C50 05C12 05E30 PDF BibTeX XML Cite \textit{M. A. Fiol}, Electron. Notes Discrete Math. 49, 457--463 (2015; Zbl 1346.05163) Full Text: DOI OpenURL
Cámara, M.; Fàbrega, J.; Fiol, M. A.; Garriga, E. On the local spectra of the subconstituents of a vertex set and completely pseudo-regular codes. (English) Zbl 1298.05197 Discrete Appl. Math. 176, 12-18 (2014). MSC: 05C50 05C35 PDF BibTeX XML Cite \textit{M. Cámara} et al., Discrete Appl. Math. 176, 12--18 (2014; Zbl 1298.05197) Full Text: DOI arXiv OpenURL
Lee, Guang-Siang; Weng, Chih-wen A characterization of bipartite distance-regular graphs. (English) Zbl 1292.05173 Linear Algebra Appl. 446, 91-103 (2014). MSC: 05C50 05E30 PDF BibTeX XML Cite \textit{G.-S. Lee} and \textit{C.-w. Weng}, Linear Algebra Appl. 446, 91--103 (2014; Zbl 1292.05173) Full Text: DOI OpenURL
Fiol, Miquel Àngel The spectral excess theorem for distance-biregular graphs. (English) Zbl 1295.05272 Electron. J. Comb. 20, No. 3, Research Paper P21, 10 p. (2013). MSC: 05E30 PDF BibTeX XML Cite \textit{M. À. Fiol}, Electron. J. Comb. 20, No. 3, Research Paper P21, 10 p. (2013; Zbl 1295.05272) Full Text: arXiv Link OpenURL
Abiad, Aida; Dalfó, Cristina; Fiol, Miquel Àngel Algebraic characterizations of regularity properties in bipartite graphs. (English) Zbl 1292.05273 Eur. J. Comb. 34, No. 8, 1223-1231 (2013); corrigendum ibid. 38, 130-132 (2014). MSC: 05E30 05C50 PDF BibTeX XML Cite \textit{A. Abiad} et al., Eur. J. Comb. 34, No. 8, 1223--1231 (2013; Zbl 1292.05273) Full Text: DOI arXiv OpenURL
Fiol, M. A. On some approaches to the spectral excess theorem for nonregular graphs. (English) Zbl 1278.05089 J. Comb. Theory, Ser. A 120, No. 6, 1285-1290 (2013). MSC: 05C12 42C05 PDF BibTeX XML Cite \textit{M. A. Fiol}, J. Comb. Theory, Ser. A 120, No. 6, 1285--1290 (2013; Zbl 1278.05089) Full Text: DOI arXiv OpenURL
Cámara, M.; Dalfó, C.; Delorme, C.; Fiol, M. A.; Suzuki, H. Edge-distance-regular graphs are distance-regular. (English) Zbl 1277.05050 J. Comb. Theory, Ser. A 120, No. 5, 1057-1067 (2013). MSC: 05C12 42C05 PDF BibTeX XML Cite \textit{M. Cámara} et al., J. Comb. Theory, Ser. A 120, No. 5, 1057--1067 (2013; Zbl 1277.05050) Full Text: DOI arXiv OpenURL
Fiol, M. A. Pseudo-distance-regularized graphs are distance-regular or distance-biregular. (English) Zbl 1251.05045 Linear Algebra Appl. 437, No. 12, 2973-2977 (2012). MSC: 05C12 PDF BibTeX XML Cite \textit{M. A. Fiol}, Linear Algebra Appl. 437, No. 12, 2973--2977 (2012; Zbl 1251.05045) Full Text: DOI arXiv OpenURL
Dalfó, C.; Van Dam, E. R.; Fiol, M. A.; Garriga, E. Dual concepts of almost distance-regularity and the spectral excess theorem. (English) Zbl 1245.05032 Discrete Math. 312, No. 17, 2730-2734 (2012). MSC: 05C12 05C50 PDF BibTeX XML Cite \textit{C. Dalfó} et al., Discrete Math. 312, No. 17, 2730--2734 (2012; Zbl 1245.05032) Full Text: DOI arXiv OpenURL
Lee, Guang-Siang; Weng, Chih-Wen A spectral excess theorem for nonregular graphs. (English) Zbl 1245.05087 J. Comb. Theory, Ser. A 119, No. 7, 1427-1431 (2012). MSC: 05C50 05C12 PDF BibTeX XML Cite \textit{G.-S. Lee} and \textit{C.-W. Weng}, J. Comb. Theory, Ser. A 119, No. 7, 1427--1431 (2012; Zbl 1245.05087) Full Text: DOI OpenURL
Cámara, M.; Dalfó, C.; Fàbrega, J.; Fiol, M. A.; Garriga, E. Edge-distance-regular graphs. (English) Zbl 1274.05123 Nešetřil, Jarik (ed.) et al., Extended abstracts of the sixth European conference on combinatorics, graph theory and applications, EuroComb 2011, Budapest, Hungary, August 29 – September 2, 2011. Amsterdam: Elsevier. Electronic Notes in Discrete Mathematics 38, 221-226 (2011). MSC: 05C12 05C50 05E30 PDF BibTeX XML Cite \textit{M. Cámara} et al., Electron. Notes Discrete Math. 38, 221--226 (2011; Zbl 1274.05123) Full Text: Link OpenURL
Billio, Monica; Calès, Ludovic; Guégan, Dominique Portfolio symmetry and momentum. (English) Zbl 1219.91124 Eur. J. Oper. Res. 214, No. 3, 759-767 (2011). MSC: 91G10 PDF BibTeX XML Cite \textit{M. Billio} et al., Eur. J. Oper. Res. 214, No. 3, 759--767 (2011; Zbl 1219.91124) Full Text: DOI Link OpenURL
Dalfó, C.; van Dam, E. R.; Fiol, M. A.; Garriga, E.; Gorissen, B. L. On almost distance-regular graphs. (English) Zbl 1225.05249 J. Comb. Theory, Ser. A 118, No. 3, 1094-1113 (2011). MSC: 05E30 05C12 PDF BibTeX XML Cite \textit{C. Dalfó} et al., J. Comb. Theory, Ser. A 118, No. 3, 1094--1113 (2011; Zbl 1225.05249) Full Text: DOI arXiv OpenURL
Jafarizadeh, S.; Sufiani, R.; Jafarizadeh, M. A. Evaluation of effective resistances in pseudo-distance-regular resistor networks. (English) Zbl 1191.82026 J. Stat. Phys. 139, No. 1, 177-199 (2010). MSC: 82B44 78A55 PDF BibTeX XML Cite \textit{S. Jafarizadeh} et al., J. Stat. Phys. 139, No. 1, 177--199 (2010; Zbl 1191.82026) Full Text: DOI arXiv OpenURL
Fiol, M. A.; Gago, S.; Garriga, E. A simple proof of the spectral excess theorem for distance-regular graphs. (English) Zbl 1221.05112 Linear Algebra Appl. 432, No. 9, 2418-2422 (2010). MSC: 05C12 PDF BibTeX XML Cite \textit{M. A. Fiol} et al., Linear Algebra Appl. 432, No. 9, 2418--2422 (2010; Zbl 1221.05112) Full Text: DOI OpenURL
Fiol, M. A.; Mitjana, M. The local spectra of regular line graphs. (English) Zbl 1215.05103 Discrete Math. 310, No. 3, 511-517 (2010). MSC: 05C50 05C76 PDF BibTeX XML Cite \textit{M. A. Fiol} and \textit{M. Mitjana}, Discrete Math. 310, No. 3, 511--517 (2010; Zbl 1215.05103) Full Text: DOI Link OpenURL
Fiol, M. A.; Mitjana, M. The local spectra of line graphs. (English) Zbl 1291.05121 Hliněný, Petr (ed.) et al., 6th Czech-Slovak international symposium on combinatorics, graph theory, algorithms and applications, DIMATIA Center, Charles University, Prague, Czech Republic, July 10–16, 2006. Amsterdam: Elsevier. Electronic Notes in Discrete Mathematics 28, 95-102 (2007). MSC: 05C50 05C76 PDF BibTeX XML Cite \textit{M. A. Fiol} and \textit{M. Mitjana}, Electron. Notes Discrete Math. 28, 95--102 (2007; Zbl 1291.05121) Full Text: DOI Link OpenURL
Fiol, M. A.; Garriga, E. On outindependent subgraphs of strongly regular graphs. (English) Zbl 1114.05100 Linear Multilinear Algebra 54, No. 2, 123-140 (2006). Reviewer: Robert Jajcay (Terre Haute) MSC: 05E30 05C50 PDF BibTeX XML Cite \textit{M. A. Fiol} and \textit{E. Garriga}, Linear Multilinear Algebra 54, No. 2, 123--140 (2006; Zbl 1114.05100) Full Text: DOI Link OpenURL
Fiol, M. A. Spectral bounds and distance-regularity. (English) Zbl 1060.05102 Linear Algebra Appl. 397, 17-33 (2005). MSC: 05E30 05E35 PDF BibTeX XML Cite \textit{M. A. Fiol}, Linear Algebra Appl. 397, 17--33 (2005; Zbl 1060.05102) Full Text: DOI OpenURL
Curtin, Brian Algebraic characterizations of graph regularity conditions. (English) Zbl 1055.05154 Des. Codes Cryptography 34, No. 2-3, 241-248 (2005). MSC: 05E30 PDF BibTeX XML Cite \textit{B. Curtin}, Des. Codes Cryptography 34, No. 2--3, 241--248 (2005; Zbl 1055.05154) Full Text: DOI OpenURL
Rodríguez, J. A. On the Laplacian eigenvalues and metric parameters of hypergraphs. (English) Zbl 1008.05102 Linear Multilinear Algebra 50, No. 1, 1-14 (2002). Reviewer: Dragoš Cvetković (Beograd) MSC: 05C50 05C65 05C12 15A03 15A18 PDF BibTeX XML Cite \textit{J. A. Rodríguez}, Linear Multilinear Algebra 50, No. 1, 1--14 (2002; Zbl 1008.05102) Full Text: DOI OpenURL
Fiol, M. A. On pseudo-distance-regularity. (English) Zbl 0978.05050 Linear Algebra Appl. 323, No. 1-3, 145-165 (2001). Reviewer: Dragoš Cvetković (Beograd) MSC: 05C50 PDF BibTeX XML Cite \textit{M. A. Fiol}, Linear Algebra Appl. 323, No. 1--3, 145--165 (2001; Zbl 0978.05050) Full Text: DOI OpenURL
Fiol, M. A.; Garriga, E. The alternating and adjacency polynomials, and their relation with the spectra and diameters of graphs. (English) Zbl 0914.05050 Discrete Appl. Math. 87, No. 1-3, 77-97 (1998). Reviewer: D.Cvetković (Beograd) MSC: 05C50 05C12 PDF BibTeX XML Cite \textit{M. A. Fiol} and \textit{E. Garriga}, Discrete Appl. Math. 87, No. 1--3, 77--97 (1998; Zbl 0914.05050) Full Text: DOI OpenURL
Fiol, M. A.; Garriga, E.; Yebra, J. L. A. Boundary graphs. II: The limit case of a spectral property. (English) Zbl 0892.05030 Discrete Math. 182, No. 1-3, 101-111 (1998). Reviewer: A.Torgašev (Beograd) MSC: 05C50 PDF BibTeX XML Cite \textit{M. A. Fiol} et al., Discrete Math. 182, No. 1--3, 101--111 (1998; Zbl 0892.05030) Full Text: DOI OpenURL
Fiol, M. A.; Garriga, E. From local adjacency polynomials to locally pseudo-distance-regular graphs. (English) Zbl 0888.05056 J. Comb. Theory, Ser. B 71, No. 2, 162-183 (1997). Reviewer: M.A.Fiol (Barcelona) MSC: 05E25 05E20 05C50 PDF BibTeX XML Cite \textit{M. A. Fiol} and \textit{E. Garriga}, J. Comb. Theory, Ser. B 71, No. 2, 162--183 (1997; Zbl 0888.05056) Full Text: DOI OpenURL