Edit Profile (opens in new tab) Fiol, Miquel Angel Co-Author Distance Author ID: fiol.miquel-angel Published as: Fiol, M. A.; Fiol, Miquel Àngel; Fiol, Miquel Angel; Fiol, Miguel A.; Fiol, Miquel Ángel; Fiol, Miquel A.; Fiol, M.; Fiol, Miguel Angel more...less Further Spellings: Fiol Mora, Miquel Ángel Homepage: https://bgsmath.cat/people/?person=miquel-angel-fiol External Links: MGP · ORCID · Wikidata · Google Scholar · dblp Documents Indexed: 191 Publications since 1983, including 10 Additional arXiv Preprints Co-Authors: 61 Co-Authors with 163 Joint Publications 1,260 Co-Co-Authors all top 5 Co-Authors 27 single-authored 64 Dalfó, Cristina 30 Garriga, E. 24 Fàbrega, Josep 19 Yebra, J. Luis Andres 15 Comellas, Francesc 12 Mitjana, Margarida 11 López, Nacho 9 Abiad, Aida 8 Aguiló, Francesc 8 Serra, Oriol 7 Gimbert, Joan 7 Morillo, Paz 6 Balbuena, Camino 6 Cámara, Marc 6 Van Dam, Edwin Robert 5 Barrière, Lali 4 Brunat, Josep M. 4 Fiol, Maria Lluïsa 4 Miller, Mirka 4 Ryan, Joe 4 Širáň, Jozef 3 Alegre, I. 3 Llado, Anna S. 3 Messegué, Arnau 3 Pérez, Sonia 2 Coutinho, Gabriel 2 Diego, Víctor 2 Escudero, Miguel 2 Espona, M. 2 Haemers, Willem H. 2 Pavlíková, Soňa 2 Penjic, Safet 2 Perarnau, Guillem 2 Reyes, Marco A. H. 2 Steffen, Eckhard 2 Vilaltella, J. 2 Villar, Jorge Luis 2 Zeijlemaker, Sjanne 1 Alegre de Miquel, Ignacio 1 Araujo-Pardo, Gabriela 1 Brouwer, Andries Evert 1 Delorme, Charles 1 Duque, Frank 1 Erskine, Grahame 1 Esqué, P. 1 Exoo, Geoffrey 1 Fabila-Monroy, Ruy 1 Gago, Silvia 1 Gorissen, Bram L. 1 Guitart, Jordi 1 Homobono, Nathalie 1 Huemer, Clemens 1 Koolen, Jack H. 1 Maureso, Montserrat 1 Mazzuoccolo, Giuseppe 1 Nogueira, B. D. 1 Padró, Carles 1 Trujillo-Negrete, Ana Laura 1 Tuite, James 1 Wu, Yaokun 1 Zaragoza Martínez, Francisco Javier all top 5 Serials 31 Discrete Mathematics 21 Linear Algebra and its Applications 13 Ars Combinatoria 12 Discrete Applied Mathematics 12 The Electronic Journal of Combinatorics 11 Journal of Graph Theory 7 Electronic Journal of Graph Theory and Applications 6 Linear and Multilinear Algebra 5 Journal of Combinatorial Theory. Series A 4 Journal of Combinatorial Theory. Series B 4 Stochastica 3 IEEE Transactions on Computers 3 European Journal of Combinatorics 3 The Australasian Journal of Combinatorics 3 Journal of Algebraic Combinatorics 3 Combinatorics, Probability and Computing 2 Networks 2 SIAM Journal on Discrete Mathematics 2 ELA. The Electronic Journal of Linear Algebra 2 AKCE International Journal of Graphs and Combinatorics 1 American Mathematical Monthly 1 Graphs and Combinatorics 1 Designs, Codes and Cryptography 1 Congressus Numerantium 1 Boletín de la Sociedad Matemática Mexicana. Third Series 1 Annals of Combinatorics 1 Visual Mathematics 1 Butlletí de la Societat Catalana de Matemàtiques 1 Journal of Physics A: Mathematical and Theoretical 1 Algebraic Combinatorics all top 5 Fields 177 Combinatorics (05-XX) 8 Computer science (68-XX) 7 Linear and multilinear algebra; matrix theory (15-XX) 7 Operations research, mathematical programming (90-XX) 7 Information and communication theory, circuits (94-XX) 4 Group theory and generalizations (20-XX) 4 Harmonic analysis on Euclidean spaces (42-XX) 3 Geometry (51-XX) 3 Convex and discrete geometry (52-XX) 1 Number theory (11-XX) 1 Special functions (33-XX) 1 Partial differential equations (35-XX) 1 Operator theory (47-XX) 1 Numerical analysis (65-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 151 Publications have been cited 1,580 times in 751 Documents Cited by ▼ Year ▼ On the extraconnectivity of graphs. Zbl 0857.05064 Fàbrega, J.; Fiol, M. A. 157 1996 Extraconnectivity of graphs with large girth. Zbl 0797.05058 Fàbrega, J.; Fiol, M. A. 88 1994 Line digraph iterations and the (d,k) digraph problem. Zbl 0528.68048 Fiol, Miguel A.; Yebra, J. Luis Andres; Alegre de Miquel, Ignacio 86 1984 Maximally connected digraphs. Zbl 0688.05029 Fàbrega, J.; Fiol, M. A. 78 1989 From local adjacency polynomials to locally pseudo-distance-regular graphs. Zbl 0888.05056 Fiol, M. A.; Garriga, E. 53 1997 Short paths and connectivity in graphs and digraphs. Zbl 0708.05025 Fiol, M. A.; Fàbrega, J.; Escudero, M. 42 1990 Locally pseudo-distance-regular graphs. Zbl 0861.05064 Fiol, M. A.; Garriga, E.; Yebra, J. L. A. 42 1996 Algebraic characterizations of distance-regular graphs. Zbl 1025.05060 Fiol, M. A. 37 2002 The hierarchical product of graphs. Zbl 1200.05196 Barrière, L.; Comellas, F.; Dalfó, C.; Fiol, M. A. 37 2009 On almost distance-regular graphs. Zbl 1225.05249 Dalfó, C.; van Dam, E. R.; Fiol, M. A.; Garriga, E.; Gorissen, B. L. 36 2011 The generalized hierarchical product of graphs. Zbl 1210.05120 Barrière, L.; Dalfó, C.; Fiol, M. A.; Mitjana, M. 35 2009 A simple proof of the spectral excess theorem for distance-regular graphs. Zbl 1221.05112 Fiol, M. A.; Gago, S.; Garriga, E. 26 2010 On the algebraic theory of pseudo-distance-regularity around a set. Zbl 0984.05060 Fiol, M. A.; Garriga, E. 26 1999 Eigenvalue interlacing and weight parameters of graphs. Zbl 0933.05099 Fiol, M. A. 21 1999 On super-edge-connected digraphs and bipartite digraphs. Zbl 0769.05062 Fiol, M. A. 21 1992 Some families of orthogonal polynomials of a discrete variable and their applications to graphs and codes. Zbl 1230.05120 Cámara, M.; Fàbrega, J.; Fiol, M. A.; Garriga, E. 20 2009 On the order and size of \(s\)-geodetic digraphs with given connectivity. Zbl 0886.05086 Balbuena, M. C.; Carmona, A.; Fàbrega, J.; Fiol, M. A. 20 1997 Bipartite graphs and digraphs with maximum connectivity. Zbl 0857.05063 Fàbrega, J.; Fiol, M. A. 20 1996 The diameter of unidirected graphs associated to plane tessellations. Zbl 0619.05031 Yebra, J. L. A.; Fiol, M. A.; Morillo, P.; Alegre, I. 19 1985 Extraconnectivity of graphs with large minimum degree and girth. Zbl 0874.05033 Balbuena, C.; Carmona, A.; Fàbrega, J.; Fiol, M. A. 19 1997 On a class of polynomials and its relation with the spectra and diameters of graphs. Zbl 0857.05101 Fiol, M. A.; Garriga, E.; Yebra, J. L. A. 18 1996 Measures of edge-uncolorability of cubic graphs. Zbl 1409.05086 Fiol, M. A.; Mazzuoccolo, G.; Steffen, E. 18 2018 On the connectivity and the conditional diameter of graphs and digraphs. Zbl 0865.90047 Balbuena, C.; Carmona, A.; Fàbrega, J.; Fiol, M. A. 17 1996 On \(k\)-walk-regular graphs. Zbl 1226.05107 Dalfó, C.; Fiol, M. A.; Garriga, E. 16 2009 Boundary graphs: The limit case of a spectral property. Zbl 0965.05068 Fiol, M. A.; Garriga, E.; Yebra, J. L. A. 16 2001 Superconnectivity of bipartite digraphs and graphs. Zbl 0933.05089 Balbuena, C.; Carmona, A.; Fàbrega, J.; Fiol, M. A. 16 1999 Double commutative-step digraphs with minimum diameters. Zbl 0783.05053 Esqué, P.; Aguiló, F.; Fiol, M. A. 16 1993 The connectivity of large digraphs and graphs. Zbl 0783.05054 Fiol, M. A. 15 1993 Vertex-symmetric digraphs with small diameter. Zbl 0822.05033 Comellas, F.; Fiol, M. A. 15 1995 An eigenvalue characterization of antipodal distance-regular graphs. Zbl 0885.05082 Fiol, M. A. 14 1997 Dense bipartite digraphs. Zbl 0725.05044 Fiol, M. A.; Yebra, J. L. A. 14 1990 An efficient algorithm to find optimal double loop networks. Zbl 0816.68089 Aguiló, F.; Fiol, M. A. 13 1995 A Boolean algebra approach to the construction of snarks. Zbl 0841.05036 Fiol, M. A. 13 1991 On congruence in \(\mathbb{Z}^ n\) and the dimension of a multidimensional circulant. Zbl 0827.05029 Fiol, M. A. 12 1995 Number of walks and degree powers in a graph. Zbl 1228.05171 Fiol, M. A.; Garriga, E. 12 2009 Congruences in \({\mathbb{Z}}^ n\), finite Abelian groups and the Chinese remainder theorem. Zbl 0631.10007 Fiol, M. A. 11 1987 The spectra of lifted digraphs. Zbl 1429.05083 Dalfó, C.; Fiol, M. A.; Širáň, J. 11 2019 Characterizing \((\ell ,m)\)-walk-regular graphs. Zbl 1213.05164 Dalfó, C.; Fiol, M. A.; Garriga, E. 11 2010 On pseudo-distance-regularity. Zbl 0978.05050 Fiol, M. A. 10 2001 From regular boundary graphs to antipodal distance-regular graphs. Zbl 0927.05086 Fiol, M. A.; Garriga, E.; Yebra, J. L. A. 10 1998 Sequence graphs and interconnection networks. Zbl 0541.05036 Fiol, M. A.; Yebra, J. L. A.; Fabrega, J. 9 1983 The alternating and adjacency polynomials, and their relation with the spectra and diameters of graphs. Zbl 0914.05050 Fiol, M. A.; Garriga, E. 9 1998 An algebraic characterization of completely regular codes in distance-regular graphs. Zbl 1044.05069 Fiol, M. A.; Garriga, E. 9 2001 Weakly distance-regular digraphs. Zbl 1033.05100 Comellas, F.; Fiol, M. A.; Gimbert, J.; Mitjana, M. 9 2004 The superconnectivity of large digraphs and graphs. Zbl 0791.05068 Fiol, M. A. 9 1994 Some spectral and quasi-spectral characterizations of distance-regular graphs. Zbl 1342.05031 Abiad, A.; van Dam, E. R.; Fiol, M. A. 9 2016 The partial line digraph technique in the design of large interconnection networks. Zbl 1395.68029 Fiol, Miguel A.; Lladó, Anna S. 9 1992 General properties of c-circulant digraphs. Zbl 0648.05024 Mora, M.; Serra, O.; Fiol, M. A. 8 1988 The spectra of some families of digraphs. Zbl 1113.05063 Fiol, M. A.; Mitjana, M. 8 2007 Digraphs with walks of equal length between vertices. Zbl 0571.05021 Fiol, M. A.; Alegre, I.; Yebra, J. L. A.; Fábrega, J. 8 1985 Some large graphs with given degree and diameter. Zbl 0592.05032 Alegre, I.; Fiol, M. A.; Yebra, J. L. A. 8 1986 Graphs on alphabets as models for large interconnection networks. Zbl 0768.68142 Gómez, J.; Fiol, M. A.; Yebra, J. L. A. 8 1992 Triple loop networks with small transmission delay. Zbl 0872.05035 Aguiló, F.; Fiol, M. A.; Garcia, C. 8 1997 The spectra of wrapped butterfly digraphs. Zbl 1018.05066 Comellas, Francesc; Fiol, Miquel Angel; Gimbert, Joan; Mitjana, Margarida 8 2003 An algebraic approach to lifts of digraphs. Zbl 1421.05048 Dalfó, C.; Fiol, M. A.; Miller, M.; Ryan, J.; Širáň, J. 8 2019 A short proof of the odd-girth theorem. Zbl 1253.05098 Van Dam, Edwin R.; Fiol, Miquel Angel 7 2012 Some spectral characterizations of strongly distance-regular graphs. Zbl 0973.05064 Fiol, M. A. 7 2001 The diameter of directed graphs associated to plane tessellations. Zbl 0599.05029 Morillo, P.; Fiol, M. A.; Fàbrega, J. 7 1985 The alternating polynomials and their relation with the spectra and conditional diameters of graphs. Zbl 0877.05017 Fiol, M. A.; Garriga, E.; Yebra, J. L. A. 7 1997 On the Laplacian spectra of token graphs. Zbl 1465.05098 Dalfó, C.; Duque, F.; Fabila-Monroy, R.; Fiol, M. A.; Huemer, C.; Trujillo-Negrete, A. L.; Zaragoza Martínez, F. J. 7 2021 On the \(k\)-independence number of graphs. Zbl 1417.05148 Abiad, A.; Coutinho, G.; Fiol, M. A. 7 2019 Spectral and geometric properties of \(k\)-walk-regular graphs. Zbl 1341.05136 Fiol, M. A.; Garriga, E. 6 2007 Pseudo-distance-regularized graphs are distance-regular or distance-biregular. Zbl 1251.05045 Fiol, M. A. 6 2012 A quasi-spectral characterization of strongly distance-regular graphs. Zbl 0956.05103 Fiol, M. A. 6 2000 Dense compound graphs. Zbl 0586.05026 Gómez, J.; Fiol, M. A. 6 1985 Connectivity and superconnectivity of large graphs and digraphs. Zbl 0708.05034 Fiol, M. A. 6 1990 Dual concepts of almost distance-regularity and the spectral excess theorem. Zbl 1245.05032 Dalfó, C.; Van Dam, E. R.; Fiol, M. A.; Garriga, E. 6 2012 Algebraic characterizations of regularity properties in bipartite graphs. Zbl 1292.05273 Abiad, Aida; Dalfó, Cristina; Fiol, Miquel Àngel 6 2013 Distance-regular graphs where the distance-\(d\) graph has fewer distinct eigenvalues. Zbl 1314.05053 Brouwer, A. E.; Fiol, M. A. 6 2015 An improved upper bound for the order of mixed graphs. Zbl 1393.05155 Dalfó, C.; Fiol, M. A.; López, N. 6 2018 On bipartite-mixed graphs. Zbl 1402.05088 Dalfó, Cristina; Fiol, Miquel Àngel; López, Nacho 6 2018 On \(c\)-circulant digraphs. Zbl 0945.05516 Serra, O.; Mora, M.; Fiol, M. A. 5 1991 Boundary graphs. II: The limit case of a spectral property. Zbl 0892.05030 Fiol, M. A.; Garriga, E.; Yebra, J. L. A. 5 1998 On the spectrum of an extremal graph with four eigenvalues. Zbl 1103.05049 Fiol, M. A.; Garriga, E. 5 2006 When the arc-colored line digraph of a Cayley colored digraph is again a Cayley colored digraph. Zbl 0773.05048 Fiol, M. L.; Fiol, M. A.; Yebra, J. L. A. 5 1992 Sequence mixed graphs. Zbl 1354.05057 Dalfó, C.; Fiol, M. A.; López, N. 5 2017 Spectra and eigenspaces of arbitrary lifts of graphs. Zbl 1477.05103 Dalfó, C.; Fiol, M. A.; Pavlíková, S.; Širáň, J. 5 2021 On the spectra of hypertrees. Zbl 1134.05051 Barrière, L.; Comellas, F.; Dalfó, C.; Fiol, M. A. 4 2008 On Cayley line digraphs. Zbl 0849.05031 Brunat, J. M.; Espona, M.; Fiol, M. A.; Serra, Oriol 4 1995 Digraphs on permutations. Zbl 0885.05069 Brunat, J. M.; Fiol, M. A.; Fiol, M. L. 4 1997 Multipartite Moore digraphs. Zbl 1105.05028 Fiol, M. A.; Gimbert, J.; Miller, M. 4 2006 Arc-colored line digraphs and their groups. Zbl 0735.05038 Fiol, M. A.; Serra, O. 4 1991 On the distance connectivity of graphs and digraphs. Zbl 0796.05058 Fiol, M. A.; Fàbrega, J. 4 1994 Quotient-polynomial graphs. Zbl 1326.05174 Fiol, M. A. 4 2016 Edge-distance-regular graphs are distance-regular. Zbl 1277.05050 Cámara, M.; Dalfó, C.; Delorme, C.; Fiol, M. A.; Suzuki, H. 4 2013 Optimization of eigenvalue bounds for the independence and chromatic number of graph powers. Zbl 1481.05092 Abiad, A.; Coutinho, G.; Fiol, M. A.; Nogueira, B. D.; Zeijlemaker, S. 4 2022 Cayley digraphs from complete generalized cycles. Zbl 0956.05051 Brunat, J. M.; Espona, M.; Fiol, M. A.; Serra, O. 3 1999 \(c\)-critical graphs with maximum degree three. Zbl 0843.05040 Fiol, M. A. 3 1995 Edge-distance-regular graphs. Zbl 1231.05083 Cámara, M.; Dalfó, C.; Fàbrega, J.; Fiol, M. A.; Garriga, E. 3 2011 On perturbations of almost distance-regular graphs. Zbl 1222.05152 Dalfó, C.; van Dam, E. R.; Fiol, M. A. 3 2011 A differential approach for bounding the index of graphs under perturbations. Zbl 1235.05086 Dalfó, C.; Fiol, M. A.; Garriga, E. 3 2011 Connectivity of large bipartite digraphs and graphs. Zbl 0886.05085 Balbuena, M. C.; Carmona, A.; Fàbrega, J.; Fiol, M. A. 3 1997 Multidimensional Manhattan street networks. Zbl 1227.05156 Comellas, F.; Dalfó, C.; Fiol, M. A. 3 2008 Distance connectivity in graphs and digraphs. Zbl 0857.05062 Balbuena, M. C.; Carmona, A.; Fiol, M. A. 3 1996 The Laplacian spectral excess theorem for distance-regular graphs. Zbl 1296.05208 van Dam, E. R.; Fiol, M. A. 3 2014 On quotient digraphs and voltage digraphs. Zbl 1375.05114 Dalfó, Cristina; Fiol, M. A.; Miller, Mirka; Ryan, Joe 3 2017 Abelian Cayley digraphs with asymptotically large order for any given degree. Zbl 1335.05080 Aguiló, Francesc; Fiol, Miquel Àngel; Pérez, Sonia 3 2016 Deterministic hierarchical networks. Zbl 1384.90016 Barrière, L.; Comellas, F.; Dalfó, C.; Fiol, M. A. 3 2016 On Moore bipartite digraphs. Zbl 1036.05025 Fiol, M. A.; Gimbert, J.; Gómez, J.; Wu, Y. 3 2003 The spectra of Manhattan street networks. Zbl 1144.05316 Comellas, F.; Dalfó, C.; Fiol, M. A.; Mitjana, M. 3 2008 On the spectra and eigenspaces of the universal adjacency matrices of arbitrary lifts of graphs. Zbl 1512.05259 Dalfó, C.; Fiol, M. A.; Pavlíková, S.; Širáň, J. 2 2023 On inertia and ratio type bounds for the \(k\)-independence number of a graph and their relationship. Zbl 1512.05250 Abiad, Aida; Dalfó, Cristina; Fiol, Miquel Àngel; Zeijlemaker, Sjanne 1 2023 On the spectra of token graphs of cycles and other graphs. Zbl 07761750 Reyes, M. A.; Dalfó, C.; Fiol, M. A.; Messegué, A. 1 2023 Optimization of eigenvalue bounds for the independence and chromatic number of graph powers. Zbl 1481.05092 Abiad, A.; Coutinho, G.; Fiol, M. A.; Nogueira, B. D.; Zeijlemaker, S. 4 2022 On the Laplacian spectra of token graphs. Zbl 1465.05098 Dalfó, C.; Duque, F.; Fabila-Monroy, R.; Fiol, M. A.; Huemer, C.; Trujillo-Negrete, A. L.; Zaragoza Martínez, F. J. 7 2021 Spectra and eigenspaces of arbitrary lifts of graphs. Zbl 1477.05103 Dalfó, C.; Fiol, M. A.; Pavlíková, S.; Širáň, J. 5 2021 New results for the Mondrian art problem. Zbl 1460.05033 Dalfó, C.; Fiol, M. A.; López, N. 1 2021 Bipartite biregular Moore graphs. Zbl 1472.05036 Araujo-Pardo, G.; Dalfó, C.; Fiol, M. A.; López, N. 1 2021 An improved Moore bound and some new optimal families of mixed abelian Cayley graphs. Zbl 1445.05047 Dalfó, C.; Fiol, M. A.; López, N.; Ryan, J. 3 2020 A new class of polynomials from the spectrum of a graph, and its application to bound the \(k\)-independence number. Zbl 1446.05056 Fiol, Miguel Angel 3 2020 A general method to obtain the spectrum and local spectra of a graph from its regular partitions. Zbl 1444.05089 Dalfó, Cristina; Fiol, Miquel Àngel 2 2020 Spectra and eigenspaces from regular partitions of Cayley (di)graphs of permutation groups. Zbl 1437.05134 Dalfó, C.; Fiol, M. A. 2 2020 Equivalent characterizations of the spectra of graphs and applications to measures of distance-regularity. Zbl 1448.05127 Diego, Victor; Fàbrega, Josep; Fiol, Miquel Àngel 1 2020 On a version of the spectral excess theorem. Zbl 1468.05149 Fiol, Miquel Àngel; Penjic, Safet 1 2020 New Moore-like bounds and some optimal families of abelian Cayley mixed graphs. Zbl 1442.05083 Dalfó, C.; Fiol, M. A.; López, N. 1 2020 The spectra of lifted digraphs. Zbl 1429.05083 Dalfó, C.; Fiol, M. A.; Širáň, J. 11 2019 An algebraic approach to lifts of digraphs. Zbl 1421.05048 Dalfó, C.; Fiol, M. A.; Miller, M.; Ryan, J.; Širáň, J. 8 2019 On the \(k\)-independence number of graphs. Zbl 1417.05148 Abiad, A.; Coutinho, G.; Fiol, M. A. 7 2019 The spectral excess theorem for graphs with few eigenvalues whose distance-2 or distance-1-or-2 graph is strongly regular. Zbl 1425.05091 Dalfó, Cristina; Fiol, M. A.; Koolen, J. 1 2019 Measures of edge-uncolorability of cubic graphs. Zbl 1409.05086 Fiol, M. A.; Mazzuoccolo, G.; Steffen, E. 18 2018 An improved upper bound for the order of mixed graphs. Zbl 1393.05155 Dalfó, C.; Fiol, M. A.; López, N. 6 2018 On bipartite-mixed graphs. Zbl 1402.05088 Dalfó, Cristina; Fiol, Miquel Àngel; López, Nacho 6 2018 Graphs, friends and acquaintances. Zbl 1467.05153 Dalfo, Cristina; Fiol, Miquel Àngel 2 2018 Sequence mixed graphs. Zbl 1354.05057 Dalfó, C.; Fiol, M. A.; López, N. 5 2017 On quotient digraphs and voltage digraphs. Zbl 1375.05114 Dalfó, Cristina; Fiol, M. A.; Miller, Mirka; Ryan, Joe 3 2017 A note on the order of iterated line digraphs. Zbl 1373.05076 Dalfó, C.; Fiol, M. A. 2 2017 Distance mean-regular graphs. Zbl 1367.05055 Diego, V.; Fiol, M. A. 1 2017 Some spectral and quasi-spectral characterizations of distance-regular graphs. Zbl 1342.05031 Abiad, A.; van Dam, E. R.; Fiol, M. A. 9 2016 Quotient-polynomial graphs. Zbl 1326.05174 Fiol, M. A. 4 2016 Abelian Cayley digraphs with asymptotically large order for any given degree. Zbl 1335.05080 Aguiló, Francesc; Fiol, Miquel Àngel; Pérez, Sonia 3 2016 Deterministic hierarchical networks. Zbl 1384.90016 Barrière, L.; Comellas, F.; Dalfó, C.; Fiol, M. A. 3 2016 Cospectral digraphs from locally line digraphs. Zbl 1334.05050 Dalfó, C.; Fiol, M. A. 2 2016 The spectral excess theorem for distance-regular graphs having distance-\(d\) graph with fewer distinct eigenvalues. Zbl 1339.05090 Fiol, M. A. 1 2016 Distance-regular graphs where the distance-\(d\) graph has fewer distinct eigenvalues. Zbl 1314.05053 Brouwer, A. E.; Fiol, M. A. 6 2015 On middle cube graphs. Zbl 1467.05154 Dalfó, Cristina.; Fiol, Miquel Àngel; Mitjana, Margarida 3 2015 Some results on the structure of multipoles in the study of snarks. Zbl 1308.05049 Fiol, M. A.; Vilaltella, J. 2 2015 The Laplacian spectral excess theorem for distance-regular graphs. Zbl 1296.05208 van Dam, E. R.; Fiol, M. A. 3 2014 An interlacing approach for bounding the sum of Laplacian eigenvalues of graphs. Zbl 1321.15035 Abiad, A.; Fiol, M. A.; Haemers, W. H.; Perarnau, G. 3 2014 Corrigendum to “Algebraic characterizations of regularity properties in bipartite graphs”. Zbl 1295.05270 Abiad, A.; Dalfó, C.; Fiol, M. A. 1 2014 Algebraic characterizations of regularity properties in bipartite graphs. Zbl 1292.05273 Abiad, Aida; Dalfó, Cristina; Fiol, Miquel Àngel 6 2013 Edge-distance-regular graphs are distance-regular. Zbl 1277.05050 Cámara, M.; Dalfó, C.; Delorme, C.; Fiol, M. A.; Suzuki, H. 4 2013 On some approaches to the spectral excess theorem for nonregular graphs. Zbl 1278.05089 Fiol, M. A. 3 2013 A simple and fast heuristic algorithm for edge-coloring of graphs. Zbl 1301.05122 Fiol, M. A.; Vilaltella, J. 3 2013 The spectral excess theorem for distance-biregular graphs. Zbl 1295.05272 Fiol, Miquel Àngel 2 2013 The \((\Delta,D)\) and \((\Delta,N)\) problems in double-step digraphs with unilateral diameter. Zbl 1293.05075 Dalfó, Cristina; Fiol, Miquel Àngel 2 2013 Moments in graphs. Zbl 1262.05036 Dalfó, C.; Fiol, M. A.; Garriga, E. 1 2013 A short proof of the odd-girth theorem. Zbl 1253.05098 Van Dam, Edwin R.; Fiol, Miquel Angel 7 2012 Pseudo-distance-regularized graphs are distance-regular or distance-biregular. Zbl 1251.05045 Fiol, M. A. 6 2012 Dual concepts of almost distance-regularity and the spectral excess theorem. Zbl 1245.05032 Dalfó, C.; Van Dam, E. R.; Fiol, M. A.; Garriga, E. 6 2012 On almost distance-regular graphs. Zbl 1225.05249 Dalfó, C.; van Dam, E. R.; Fiol, M. A.; Garriga, E.; Gorissen, B. L. 36 2011 Edge-distance-regular graphs. Zbl 1231.05083 Cámara, M.; Dalfó, C.; Fàbrega, J.; Fiol, M. A.; Garriga, E. 3 2011 On perturbations of almost distance-regular graphs. Zbl 1222.05152 Dalfó, C.; van Dam, E. R.; Fiol, M. A. 3 2011 A differential approach for bounding the index of graphs under perturbations. Zbl 1235.05086 Dalfó, C.; Fiol, M. A.; Garriga, E. 3 2011 A simple proof of the spectral excess theorem for distance-regular graphs. Zbl 1221.05112 Fiol, M. A.; Gago, S.; Garriga, E. 26 2010 Characterizing \((\ell ,m)\)-walk-regular graphs. Zbl 1213.05164 Dalfó, C.; Fiol, M. A.; Garriga, E. 11 2010 Combinatorial vs. algebraic characterizations of completely pseudo-regular codes. Zbl 1193.05110 Camara, M.; Fabrega, J.; Fiol, M. A.; Garriga, E. 1 2010 The local spectra of regular line graphs. Zbl 1215.05103 Fiol, M. A.; Mitjana, M. 1 2010 The geometry of \(t\)-spreads in \(k\)-walk-regular graphs. Zbl 1207.05105 Dalfó, C.; Fiol, M. A.; Garriga, E. 1 2010 The hierarchical product of graphs. Zbl 1200.05196 Barrière, L.; Comellas, F.; Dalfó, C.; Fiol, M. A. 37 2009 The generalized hierarchical product of graphs. Zbl 1210.05120 Barrière, L.; Dalfó, C.; Fiol, M. A.; Mitjana, M. 35 2009 Some families of orthogonal polynomials of a discrete variable and their applications to graphs and codes. Zbl 1230.05120 Cámara, M.; Fàbrega, J.; Fiol, M. A.; Garriga, E. 20 2009 On \(k\)-walk-regular graphs. Zbl 1226.05107 Dalfó, C.; Fiol, M. A.; Garriga, E. 16 2009 Number of walks and degree powers in a graph. Zbl 1228.05171 Fiol, M. A.; Garriga, E. 12 2009 On the hierarchical product of graphs and the generalized binomial tree. Zbl 1225.05206 Barrière, L.; Comellas, F.; Dalfó, C.; Fiol, M. A. 2 2009 On \(t\)-cliques in \(k\)-walk-regular graphs. Zbl 1273.05160 Dalfó, C.; Fiol, M. A.; Garriga, E. 1 2009 On the spectra of hypertrees. Zbl 1134.05051 Barrière, L.; Comellas, F.; Dalfó, C.; Fiol, M. A. 4 2008 Multidimensional Manhattan street networks. Zbl 1227.05156 Comellas, F.; Dalfó, C.; Fiol, M. A. 3 2008 The spectra of Manhattan street networks. Zbl 1144.05316 Comellas, F.; Dalfó, C.; Fiol, M. A.; Mitjana, M. 3 2008 The spectra of some families of digraphs. Zbl 1113.05063 Fiol, M. A.; Mitjana, M. 8 2007 Spectral and geometric properties of \(k\)-walk-regular graphs. Zbl 1341.05136 Fiol, M. A.; Garriga, E. 6 2007 The local spectra of line graphs. Zbl 1291.05121 Fiol, M. A.; Mitjana, M. 1 2007 A spectral study of the Manhattan networks. Zbl 1341.05151 Comellas, F.; Dalfó, C.; Fiol, M. A.; Mitjana, M. 1 2007 On the spectrum of an extremal graph with four eigenvalues. Zbl 1103.05049 Fiol, M. A.; Garriga, E. 5 2006 Multipartite Moore digraphs. Zbl 1105.05028 Fiol, M. A.; Gimbert, J.; Miller, M. 4 2006 On outindependent subgraphs of strongly regular graphs. Zbl 1114.05100 Fiol, M. A.; Garriga, E. 2 2006 On the weak distance-regularity of Moore-type digraphs. Zbl 1091.05042 Comellas, F.; Fiol, M. A.; Gimbert, J.; Mitjana, M. 1 2006 Geometric approximation of the spectrum of some families of digraphs. Zbl 1171.05337 Fiol, M. A.; Mitjana, M. 1 2006 Weakly distance-regular digraphs. Zbl 1033.05100 Comellas, F.; Fiol, M. A.; Gimbert, J.; Mitjana, M. 9 2004 The spectra of wrapped butterfly digraphs. Zbl 1018.05066 Comellas, Francesc; Fiol, Miquel Angel; Gimbert, Joan; Mitjana, Margarida 8 2003 On Moore bipartite digraphs. Zbl 1036.05025 Fiol, M. A.; Gimbert, J.; Gómez, J.; Wu, Y. 3 2003 Chromatic automorphisms of consecutive digraphs. Zbl 1018.05043 Brunat, Josep M.; Fiol, Miguel A.; Maureso, Montserrat 2 2003 Algebraic characterizations of distance-regular graphs. Zbl 1025.05060 Fiol, M. A. 37 2002 Pseudo-strong regularity around a set. Zbl 0996.05091 Fiol, M. A.; Garriga, E. 3 2002 Boundary graphs: The limit case of a spectral property. Zbl 0965.05068 Fiol, M. A.; Garriga, E.; Yebra, J. L. A. 16 2001 On pseudo-distance-regularity. Zbl 0978.05050 Fiol, M. A. 10 2001 An algebraic characterization of completely regular codes in distance-regular graphs. Zbl 1044.05069 Fiol, M. A.; Garriga, E. 9 2001 Some spectral characterizations of strongly distance-regular graphs. Zbl 0973.05064 Fiol, M. A. 7 2001 A quasi-spectral characterization of strongly distance-regular graphs. Zbl 0956.05103 Fiol, M. A. 6 2000 On twisted odd graphs. Zbl 0957.05077 Fiol, M. A.; Garriga, E.; Yebra, J. L. A. 1 2000 Periodic tilings as a dissection method. Zbl 0988.52029 Aguiló, Francesc; Fiol, Miquel Angel; Fiol, Maria Lluïsa 1 2000 On the algebraic theory of pseudo-distance-regularity around a set. Zbl 0984.05060 Fiol, M. A.; Garriga, E. 26 1999 Eigenvalue interlacing and weight parameters of graphs. Zbl 0933.05099 Fiol, M. A. 21 1999 Superconnectivity of bipartite digraphs and graphs. Zbl 0933.05089 Balbuena, C.; Carmona, A.; Fàbrega, J.; Fiol, M. A. 16 1999 Cayley digraphs from complete generalized cycles. Zbl 0956.05051 Brunat, J. M.; Espona, M.; Fiol, M. A.; Serra, O. 3 1999 From regular boundary graphs to antipodal distance-regular graphs. Zbl 0927.05086 Fiol, M. A.; Garriga, E.; Yebra, J. L. A. 10 1998 The alternating and adjacency polynomials, and their relation with the spectra and diameters of graphs. Zbl 0914.05050 Fiol, M. A.; Garriga, E. 9 1998 Boundary graphs. II: The limit case of a spectral property. Zbl 0892.05030 Fiol, M. A.; Garriga, E.; Yebra, J. L. A. 5 1998 From local adjacency polynomials to locally pseudo-distance-regular graphs. Zbl 0888.05056 Fiol, M. A.; Garriga, E. 53 1997 On the order and size of \(s\)-geodetic digraphs with given connectivity. Zbl 0886.05086 Balbuena, M. C.; Carmona, A.; Fàbrega, J.; Fiol, M. A. 20 1997 Extraconnectivity of graphs with large minimum degree and girth. Zbl 0874.05033 Balbuena, C.; Carmona, A.; Fàbrega, J.; Fiol, M. A. 19 1997 ...and 51 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 809 Authors 103 Fiol, Miquel Angel 55 Balbuena, Camino 50 Dalfó, Cristina 29 Wang, Shiying 24 Meng, Jixiang 22 Marcote, Xavier 21 Fàbrega, Josep 20 García-Vázquez, Pedro 17 Garriga, E. 16 Abiad, Aida 16 Koolen, Jack H. 16 Van Dam, Edwin Robert 16 Zhang, Zhao 16 Zhou, Shuming 14 Tavakoli, Mostafa 13 Volkmann, Lutz 12 Cheng, Eddie 12 Lin, Shangwei 11 Mitjana, Margarida 11 Xu, Junming 10 Hao, Rongxia 10 Hsieh, Sun-Yuan 10 Lin, Yuqing 10 Liu, Aixia 10 Máčajová, Edita 10 Yuan, Jun 9 Comellas, Francesc 9 López, Nacho 9 Miller, Mirka 9 Montejano, Luis Pedro 9 Park, Jongyook 9 Rahbarnia, Freydoon 9 Škoviera, Martin 9 Zhang, Mingzu 8 Aguiló, Francesc 8 Gu, Mei-Mei 8 Lu, Mei 8 Padró, Carles 8 Yang, Weihua 8 Zhu, Qiang 7 Ashrafi, Ali Reza 7 Diánez, Ana 7 Klavžar, Sandi 7 Pelayo, Ignacio M. 7 Xu, Min 7 Zhang, Hong 7 Zhou, Jinxin 6 Bermond, Jean-Claude 6 Fan, Jianxi 6 Gimbert, Joan 6 Guo, Litao 6 Lin, Cheng-Kuan 6 Lipták, László 6 Wu, Yaokun 6 Yebra, J. Luis Andres 6 Zhang, Heping 5 Allie, Imran 5 Azari, Mahdieh 5 Barrière, Lali 5 Brunat, Josep M. 5 Cámara, Marc 5 Cera, Martín 5 Delorme, Charles 5 Fernández, Blas 5 Ferrero, Daniela 5 González-Moreno, Diego 5 Haemers, Willem H. 5 Hellwig, Angelika 5 Li, Chunfang 5 Lin, Limei 5 Liu, Xiaoqing 5 Mazzuoccolo, Giuseppe 5 Monakhova, Eh. A. 5 Serra, Oriol 5 Širáň, Jozef 5 Tian, Yingzhi 5 Zhang, Lei 4 Chen, Chiuyuan 4 Cheng, Baolei 4 Cioabă, Sebastian M. 4 Feng, Yanquan 4 Filipovski, Slobodan 4 Gomez, Jose 4 Guevara, Mucuy-kak 4 Hamidoune, Yahya Ould 4 Hasunuma, Toru 4 Heydemann, Marie-Claude 4 Hong, Yanmei 4 Huemer, Clemens 4 Hwang, Frank Kwangming 4 Li, Jing 4 Liu, Jiafei 4 Liu, Qinghai 4 Llado, Anna S. 4 Muñoz, Xavier 4 Nozaki, Hiroshi 4 Qiu, Ke 4 Rodríguez-Velazquez, Juan Alberto 4 Salas, Julian 4 Shen, Zhizhang ...and 709 more Authors all top 5 Cited in 118 Serials 111 Discrete Mathematics 99 Discrete Applied Mathematics 72 Theoretical Computer Science 53 Linear Algebra and its Applications 32 Applied Mathematics and Computation 20 Networks 18 The Electronic Journal of Combinatorics 17 Information Processing Letters 17 Graphs and Combinatorics 16 European Journal of Combinatorics 15 Journal of Algebraic Combinatorics 12 Linear and Multilinear Algebra 12 Information Sciences 12 Journal of Graph Theory 11 Electronic Journal of Graph Theory and Applications 9 Applied Mathematics Letters 8 Journal of Combinatorial Theory. Series A 8 International Journal of Computer Mathematics 7 Discussiones Mathematicae. Graph Theory 6 International Journal of Foundations of Computer Science 6 Parallel Processing Letters 5 Journal of Computer and System Sciences 5 Designs, Codes and Cryptography 5 The Australasian Journal of Combinatorics 5 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 4 Journal of Combinatorial Theory. Series B 4 Filomat 4 Journal of Combinatorial Optimization 4 Journal of Discrete Mathematical Sciences & Cryptography 4 Acta Mathematica Sinica. English Series 4 Discrete Mathematics, Algorithms and Applications 3 Science in China. Series A 3 Applied Mathematics. Series B (English Edition) 3 Fractals 3 ELA. The Electronic Journal of Linear Algebra 3 Annals of Combinatorics 3 AKCE International Journal of Graphs and Combinatorics 3 Prikladnaya Diskretnaya Matematika 2 Physica A 2 Acta Mathematicae Applicatae Sinica. English Series 2 SIAM Journal on Discrete Mathematics 2 RAIRO. Operations Research 2 Journal of Applied Mathematics and Computing 2 The European Physical Journal B. Condensed Matter and Complex Systems 2 Asian-European Journal of Mathematics 2 Ars Mathematica Contemporanea 2 Science China. Mathematics 2 Problemy Fiziki, Matematiki i Tekhniki 2 Algebraic Combinatorics 1 International Journal of Modern Physics B 1 American Mathematical Monthly 1 Computers & Mathematics with Applications 1 Indian Journal of Pure & Applied Mathematics 1 Journal of Mathematical Analysis and Applications 1 Journal of Mathematical Physics 1 Journal of Statistical Physics 1 Problems of Information Transmission 1 Rocky Mountain Journal of Mathematics 1 Chaos, Solitons and Fractals 1 Annales de l’Institut Fourier 1 Automatica 1 Czechoslovak Mathematical Journal 1 Inventiones Mathematicae 1 Journal of Applied Probability 1 Quaestiones Mathematicae 1 Results in Mathematics 1 Ricerche di Matematica 1 Semigroup Forum 1 Advances in Applied Mathematics 1 Systems & Control Letters 1 Order 1 Algorithmica 1 Discrete & Computational Geometry 1 Facta Universitatis. Series Mathematics and Informatics 1 Journal of Theoretical Probability 1 International Journal of Algebra and Computation 1 Acta Mathematica Universitatis Comenianae. New Series 1 Aequationes Mathematicae 1 European Journal of Operational Research 1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 1 Computational and Applied Mathematics 1 Acta Universitatis Matthiae Belii. Series Mathematics 1 Journal of Combinatorial Designs 1 Bulletin des Sciences Mathématiques 1 Complexity 1 Boletín de la Sociedad Matemática Mexicana. Third Series 1 Science in China. Series E 1 Mathematical Problems in Engineering 1 Journal of Inequalities and Applications 1 Communications in Nonlinear Science and Numerical Simulation 1 CEJOR. Central European Journal of Operations Research 1 Lobachevskii Journal of Mathematics 1 Integers 1 Miscelánea Matemática 1 Kragujevac Journal of Mathematics 1 Journal of Applied Mathematics 1 Natural Computing 1 Quantum Information Processing 1 Journal of Discrete Algorithms 1 Proyecciones ...and 18 more Serials all top 5 Cited in 29 Fields 667 Combinatorics (05-XX) 169 Computer science (68-XX) 31 Operations research, mathematical programming (90-XX) 26 Linear and multilinear algebra; matrix theory (15-XX) 25 Information and communication theory, circuits (94-XX) 17 Group theory and generalizations (20-XX) 10 Number theory (11-XX) 8 Geometry (51-XX) 7 Biology and other natural sciences (92-XX) 6 Harmonic analysis on Euclidean spaces (42-XX) 3 Special functions (33-XX) 3 Probability theory and stochastic processes (60-XX) 3 Numerical analysis (65-XX) 3 Quantum theory (81-XX) 3 Statistical mechanics, structure of matter (82-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 3 Systems theory; control (93-XX) 2 History and biography (01-XX) 2 Order, lattices, ordered algebraic structures (06-XX) 2 Algebraic geometry (14-XX) 2 Measure and integration (28-XX) 2 Ordinary differential equations (34-XX) 2 Approximations and expansions (41-XX) 2 Statistics (62-XX) 1 Partial differential equations (35-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Abstract harmonic analysis (43-XX) 1 Convex and discrete geometry (52-XX) 1 Optics, electromagnetic theory (78-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.