Edit Profile (opens in new tab) da Fonseca, Carlos Martins Compute Distance To: Compute Author ID: da-fonseca.carlos-martins Published as: da Fonseca, Carlos M.; da Fonseca, C. M.; Da Fonseca, C. M.; Da Fonseca, Carlos M.; da Fonseca, Carlos Martins; Fonseca, C. M.da more...less Homepage: http://www.mat.uc.pt/~cmf/ External Links: MGP · Wikidata · dblp Documents Indexed: 127 Publications since 1994, including 1 Book 3 Contributions as Editor Reviewing Activity: 248 Reviews Co-Authors: 70 Co-Authors with 93 Joint Publications 1,343 Co-Co-Authors all top 5 Co-Authors 36 single-authored 21 Andelić, Milica 21 Du, Zhibin 9 Simić, Slobodan K. 5 Erić, Aleksandra Lj. 5 Kowalenko, Victor 5 Mamede, Ricardo 4 Kilic, Emrah 4 Losonczi, László 4 Pereira, António 4 Petronilho, José C. 4 Saenpholphat, Varaporn 4 Tošić, Dejan V. 3 Costa, Liliana 3 Dimitrov, Darko 3 Rybalkina, Tetiana 3 Sergeichuk, Vladimir Vasil’evich 3 Yilmaz, Fatih 3 Zhang, Ping 3 Zivkovic, Dejan 2 Alzer, Horst 2 Andrade Martins, Enide 2 Bebiano, Natália Isabel Quadros 2 Conflitti, Alessandro 2 Glasser, M. Lawrence 2 Hacıoğlu, İlhan 2 Mazilu, Dan A. 2 Mazilu, Irina 2 Stevanović, Dragan 1 Akbulak, Mehmet 1 Alazemi, Abdullah 1 Amanbek, Yerlan 1 Andrade, Enide 1 Arworn, Srichan 1 Ashraf, Firouzeh 1 Baksalary, Oskar Maria 1 Bozkurt, Durmuş 1 Cardoso, Domingos Moreira 1 da Providência Santarém e Costa, João 1 Dahl, Geir 1 Dmytryshyn, Andrii R. 1 Erlangga, Yogi A. 1 Estévez Schwarz, Diana 1 Fernandes, Rosário 1 Friedland, Shmuel 1 Futorny, Vyacheslav M. 1 Ghebleh, Mohammad 1 Huynh, Dinh Van 1 Kanso, Ali 1 Khemmani, Varanoot 1 Kirkland, Stephen J. 1 Koledin, Tamara 1 Kouachi, Said 1 Kovačec, Alexander 1 Kurkcu, Burak 1 Kurmanbek, Bakytzhan 1 Kwancharone, Sorakrit 1 Marques de Sá, Eduardo 1 Martins, Enide A. 1 Perdigão Dias da Silva, José António 1 Psarrakos, Panayiotis J. 1 Sciriha, Irene 1 Sendil, Nuri 1 Shivakumar, Pappur N. 1 Sivakumar, Koratti Chengalrayan 1 Stanić, Zoran 1 Veerman, J. J. P. 1 Vu Kim Tuan 1 Williams, H. Thomas 1 Xu, Yingqiu 1 Ye, Jiahao all top 5 Serials 22 Linear Algebra and its Applications 15 Linear and Multilinear Algebra 6 Applied Mathematics and Computation 6 ELA. The Electronic Journal of Linear Algebra 5 Czechoslovak Mathematical Journal 4 Discrete Applied Mathematics 4 Discrete Mathematics 3 Utilitas Mathematica 3 Applied Mathematics Letters 3 Filomat 3 Ars Mathematica Contemporanea 3 Open Mathematics 2 Journal of Computational and Applied Mathematics 2 Boletim da Sociedade Portuguesa de Matemática 2 Bulletin Mathématique de la Société des Sciences Mathématiques de Roumanie. Nouvelle Série 2 Journal of Mathematical Sciences (New York) 2 Analele Științifice ale Universității “Ovidius” Constanța. Seria: Matematică 2 Journal of Discrete Mathematical Sciences & Cryptography 2 MATCH - Communications in Mathematical and in Computer Chemistry 2 Applicable Analysis and Discrete Mathematics 2 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 2 Kuwait Journal of Science 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Ars Combinatoria 1 International Journal of Mathematics and Mathematical Sciences 1 Le Matematiche 1 Numerische Mathematik 1 Portugaliae Mathematica 1 Publicationes Mathematicae Debrecen 1 Studia Scientiarum Mathematicarum Hungarica 1 Annales Universitatis Scientiarum Budapestinensis de Rolando Eötvös Nominatae. Sectio Computatorica 1 Acta Mathematica Hungarica 1 Order 1 Graphs and Combinatorics 1 SIAM Journal on Matrix Analysis and Applications 1 Journal of Algebraic Combinatorics 1 Numerical Linear Algebra with Applications 1 Discussiones Mathematicae. Graph Theory 1 Journal of Difference Equations and Applications 1 Fundamental’naya i Prikladnaya Matematika 1 The Ramanujan Journal 1 Positivity 1 Mathematical Inequalities & Applications 1 East-West Journal of Mathematics 1 International Journal of Nonlinear Sciences and Numerical Simulation 1 JIPAM. Journal of Inequalities in Pure & Applied Mathematics 1 Journal of Applied Mathematics 1 International Journal of Pure and Applied Mathematics 1 Mathematica Macedonica 1 Mediterranean Journal of Mathematics 1 Contemporary Mathematics 1 Applied Mathematical Sciences (Ruse) 1 Acta Universitatis Sapientiae. Mathematica 1 Mathematical Sciences & Applications E-Notes all top 5 Fields 95 Linear and multilinear algebra; matrix theory (15-XX) 68 Combinatorics (05-XX) 12 Number theory (11-XX) 12 Numerical analysis (65-XX) 10 Special functions (33-XX) 9 Harmonic analysis on Euclidean spaces (42-XX) 4 General and overarching topics; collections (00-XX) 4 Operator theory (47-XX) 3 Order, lattices, ordered algebraic structures (06-XX) 3 Convex and discrete geometry (52-XX) 3 Biology and other natural sciences (92-XX) 2 Real functions (26-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Difference and functional equations (39-XX) 1 History and biography (01-XX) 1 Mathematical logic and foundations (03-XX) 1 Field theory and polynomials (12-XX) 1 Associative rings and algebras (16-XX) 1 Functions of a complex variable (30-XX) 1 Ordinary differential equations (34-XX) 1 Partial differential equations (35-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Relativity and gravitational theory (83-XX) 1 Operations research, mathematical programming (90-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 87 Publications have been cited 546 times in 330 Documents Cited by ▼ Year ▼ Explicit inverses of some tridiagonal matrices. Zbl 0983.15007da Fonseca, C. M.; Petronilho, J. 49 2001 Explicit inverse of a tridiagonal \(k\)-Toeplitz matrix. Zbl 1076.15011da Fonseca, C. M.; Petronilho, J. 37 2005 On the eigenvalues of some tridiagonal matrices. Zbl 1119.15012da Fonseca, C. M. 35 2007 Further properties of the second Zagreb index. Zbl 1464.05063da Fonseca, Carlos M.; Stevanović, Dragan 21 2014 Young-type inequalities and their matrix analogues. Zbl 1316.15023Alzer, Horst; da Fonseca, Carlos M.; Kovačec, Alexander 14 2015 Counterexamples to a conjecture on Wiener index of common neighborhood graphs. Zbl 1464.05062da Fonseca, Carlos M.; Ghebleh, Mohammad; Kanso, Ali; Stevanović, Dragan 13 2014 On the number of P-vertices of some graphs. Zbl 1225.05078Andelić, Milica; da Fonseca, C. M.; Mamede, Ricardo 13 2011 The diameter of the acyclic Birkhoff polytope. Zbl 1213.05163Costa, Liliana; Da Fonseca, C. M.; Martins, Enide Andrade 13 2008 On a family of trees with minimal atom-bond connectivity index. Zbl 1330.05044Du, Zhibin; da Fonseca, Carlos M. 12 2016 On structural properties of trees with minimal atom-bond connectivity index. III: Trees with pendent paths of length three. Zbl 1410.05022Dimitrov, Darko; Du, Zhibin; da Fonseca, Carlos M. 12 2016 The inertia of certain Hermitian block matrices. Zbl 0929.15019da Fonseca, C. M. 11 1998 On the location of the eigenvalues of Jacobi matrices. Zbl 1176.15027da Fonseca, C. M. 11 2006 The maximal length of a chain in the Bruhat order for a class of binary matrices. Zbl 1236.05046Conflitti, Alessandro; da Fonseca, C. M.; Mamede, Ricardo 11 2012 The characteristic polynomial of some perturbed tridiagonal \(k\)-Toeplitz matrices. Zbl 1148.15005da Fonseca, C. M. 11 2007 Some comments on \(k\)-tridiagonal matrices: determinant, spectra, and inversion. Zbl 1410.15053da Fonseca, Carlos M.; Yılmaz, Fatih 11 2015 Basic trigonometric power sums with applications. Zbl 1357.33003da Fonseca, Carlos M.; Glasser, M. Lawrence; Kowalenko, Victor 10 2017 Fibonacci numbers, alternating parity sequences and faces of the tridiagonal Birkhoff polytope. Zbl 1133.05005da Fonseca, C. M.; Marques de Sá, E. 10 2008 The inverse eigenvalue problem for Hermitian matrices whose graphs are cycles. Zbl 1180.15020Fernandes, Rosário; da Fonseca, C. M. 9 2009 Nonsingular acyclic matrices with full number of \(P\)-vertices. Zbl 1276.15006Anđelić, Milica; Erić, Aleksandra; Da Fonseca, C. M. 9 2013 The maximum number of P-vertices of some nonsingular double star matrices. Zbl 1281.05091Erić, Aleksandra; da Fonseca, C. M. 8 2013 Nonsingular acyclic matrices with an extremal number of P-vertices. Zbl 1282.15028Du, Zhibin; da Fonseca, C. M. 8 2014 An inverse eigenvalue problem for periodic Jacobi matrices in Minkowski spaces. Zbl 1259.15011Bebiano, Natália; da Fonseca, C. M.; da Providência, João 8 2011 The singular acyclic matrices with maximal number of P-vertices. Zbl 1258.05024Du, Zhibin; da Fonseca, C. M. 8 2013 Eigenpairs of a family of tridiagonal matrices: three decades later. Zbl 1449.15012Da Fonseca, C. M.; Kowalenko, V. 8 2020 Some new considerations about double nested graphs. Zbl 1319.05084Anđelić, M.; Andrade, E.; Cardoso, D. M.; da Fonseca, C. M.; Simić, S. K.; Tošić, D. V. 7 2015 On bounds for the index of double nested graphs. Zbl 1222.05145Andelić, M.; da Fonseca, C. M.; Simić, S. K.; Tošić, D. V. 7 2011 On the largest size of an antichain in the Bruhat order for \(\mathcal A (2k,k)\). Zbl 1260.05024Conflitti, Alessandro; da Fonseca, C. M.; Mamede, Ricardo 7 2013 On the multiplicities of eigenvalues of graphs and their vertex deleted subgraphs: old and new results. Zbl 1323.05083Simić, Slobodan K.; Andelić, Milica; Da Fonseca, Carlos M.; Živković, Dejan 6 2015 The acyclic matrices with a P-set of maximum size. Zbl 1307.15012Du, Zhibin; da Fonseca, Carlos M. 6 2015 On a finite sum with powers of cosines. Zbl 1382.11026da Fonseca, C. M.; Kowalenko, Victor 6 2013 The inertia of Hermitian block matrices with zero main diagonal. Zbl 0961.15013da Fonseca, C. M. 6 2000 A multi-temperature kinetic Ising model and the eigenvalues of some perturbed Jacobi matrices. Zbl 1390.15098da Fonseca, Carlos M.; Kouachi, Saïd; Mazilu, Dan A.; Mazilu, Irina 6 2015 On (0, 1)-matrices with prescribed row and column sum vectors. Zbl 1197.05160da Fonseca, C. M.; Mamede, Ricardo 5 2009 Some forbidden combinations of branches in minimal-ABC trees. Zbl 1377.05030Dimitrov, Darko; Du, Zhibin; da Fonseca, Carlos M. 5 2018 The eigenpairs of a Sylvester-Kac type matrix associated with a simple model for one-dimensional deposition and evaporation. Zbl 1311.15016da Fonseca, C. M.; Mazilu, Dan A.; Mazilu, Irina; Williams, H. Thomas 5 2013 The eigenvalues of a family of persymmetric anti-tridiagonal 2-Hankel matrices. Zbl 1334.15071Akbulak, Mehmet; da Fonseca, C. M.; Yılmaz, Fatih 5 2013 An identity between the determinant and the permanent of Hessenberg-type matrices. Zbl 1249.15011da Fonseca, Carlos Martins 5 2011 On the multiplicities of eigenvalues of a Hermitian matrix whose graph is a tree. Zbl 1144.15003Da Fonseca, C. M. 5 2008 A lower bound for the number of distinct eigenvalues of some real symmetric matrices. Zbl 1205.05138Da Fonseca, C. M. 4 2010 Interlacing properties for Hermitian matrices whose graph is a given tree. Zbl 1095.15009da Fonseca, C. M. 4 2005 Path polynomials of a circuit: A constructive approach. Zbl 0926.05025da Fonseca, C. M.; Petronilho, J. 4 1998 Connected graphs of fixed order and size with maximal \(Q\)-index: some spectral bounds. Zbl 1239.05115Anđelić, Milica; da Fonseca, Carlos M.; Simić, Slobodan K.; Tošić, Dejan V. 4 2012 The number of faces of the tridiagonal Birkhoff polytope. Zbl 1185.52007Costa, L.; Da Fonseca, C. M.; Martins, E. A. 4 2009 On the inertia sets of some symmetric sign patterns. Zbl 1164.15318da Fonseca, C. M. 4 2006 Face counting on an acyclic Birkhoff polytope. Zbl 1169.05301Costa, Liliana; da Fonseca, C. M.; Martins, Enide Andrade 4 2009 A matrix approach to some second-order difference equations with sign-alternating coefficients. Zbl 1472.39004Anđelić, Milica; Du, Zhibin; da Fonseca, Carlos M.; Kılıç, Emrah 4 2020 The singular acyclic matrices of even order with a P-set of maximum size. Zbl 1461.15025Du, Zhibin; da Fonseca, Carlos M. 3 2016 Some determinantal considerations for pentadiagonal matrices. Zbl 1481.15002Anđelić, Milica; da Fonseca, Carlos M. 3 2021 A new type of Sylvester-Kac matrix and its spectrum. Zbl 1462.15038da Fonseca, Carlos M.; Kılıç, Emrah 3 2021 An observation on the determinant of a Sylvester-Kac type matrix. Zbl 07376150da Fonseca, Carlos M.; Kılıç, Emrah 3 2020 Unordered multiplicity lists of wide double paths. Zbl 1290.05101Erić, Aleksandra; da Fonseca, C. M. 3 2013 On a conjecture about the \(\mu\)-permanent. Zbl 1078.15007da Fonseca, C. M. 3 2005 Sufficient conditions for positive definiteness of tridiagonal matrices revisited. Zbl 1216.15022Anđelić, Milica; da Fonseca, C. M. 3 2011 The real symmetric matrices of odd order with a P-set of maximum size. Zbl 1413.15015Du, Zhibin; da Fonseca, Carlos M. 3 2016 Unifying some Pell and Fibonacci identities. Zbl 1334.11009da Fonseca, Carlos M. 3 2014 The singular acyclic matrices with the second largest number of P-vertices. Zbl 1334.15026Du, Zhibin; da Fonseca, Carlos M. 3 2015 A note on the multiplicities of the eigenvalues of a graph. Zbl 1078.15009da Fonseca, C. M. 3 2005 On the spectra of certain directed paths. Zbl 1173.90360da Fonseca, C. M.; Veerman, J. J. P. 3 2009 On the continuity of the maximum size of P-sets of acyclic matrices. Zbl 1418.05052Du, Zhibin; da Fonseca, Carlos M. 3 2019 Sharp spectral inequalities for connected bipartite graphs with maximal \(Q\)-index. Zbl 1301.05210Andelić, Milica; Fonseca, C. M.da; Koledin, Tamara; Stanić, Zoran 3 2013 Tridiagonal matrices and spectral properties of some graph classes. Zbl 07285984Anđelić, Milica; Du, Zhibin; da Fonseca, Carlos M.; Simić, Slobodan K. 3 2020 A short note on the determinant of a Sylvester-Kac type matrix. Zbl 07336603da Fonseca, Carlos M. 2 2020 On \(\gamma\)-labelings of graphs. Zbl 1345.05086Da Fonseca, Carlos M.; Khemmani, Varanoot; Zhang, Ping 2 2015 Reflexive line graphs of trees. Zbl 1409.05173Simić, Slobodan K.; Živković, Dejan; Anđelić, Milica; da Fonseca, Carlos M. 2 2016 Extremal values fo a \(\gamma\)-labeling of a cycle with a triangle. Zbl 1293.05349da Fonseca, C. M.; Saenpholphat, Varaporn; Zhang, Ping 2 2013 Notes on the second largest eigenvalue of a graph. Zbl 1302.05112Simić, Slobodan K.; Anđelić, Milica; da Fonseca, Carlos M.; Živković, Dejan 2 2015 The \(\gamma \)-spectrum of a graph. Zbl 1265.05559da Fonseca, C. M.; Saenpholphat, Varaporn; Zhang, Ping 2 2011 Some comments on tridiagonal \((p,r)\)-Toeplitz matrices. Zbl 1414.15036Anđelić, Milica; da Fonseca, Carlos M. 2 2019 A short proof for a determinantal formula for generalized Fibonacci numbers. Zbl 1477.11032da Fonseca, Carlos M.; Anđelić, Milica 2 2019 The eigenvalues of some anti-tridiagonal Hankel matrices. Zbl 1474.15066da Fonseca, Carlos M. 2 2018 Ninety years of \(k\)-tridiagonal matrices. Zbl 1474.15067da Fonseca, Carlos M.; Kowalenko, Victor; Losonczi, László 2 2020 Explicit determinantal formula for a class of banded matrices. Zbl 1478.15010Amanbek, Yerlan; Du, Zhibin; Erlangga, Yogi; da Fonseca, Carlos M.; Kurmanbek, Bakytzhan; Pereira, António 1 2020 On singular values related to DAEs in Kronecker canonical form. Zbl 1410.34038Estévez Schwarz, Diana; da Fonseca, Carlos M. 1 2016 The determinants of circulant and skew-circulant matrices with Tribonacci numbers. Zbl 1384.11053Bozkurt, Durmus; da Fonseca, Carlos M.; Yilmaz, Fatih 1 2014 Topological classification of sesquilinear forms: reduction to the nonsingular case. Zbl 1381.15013da Fonseca, Carlos M.; Rybalkina, Tetiana; Sergeichuk, Vladimir V. 1 2016 Classification of pairs of linear mappings between two vector spaces and between their quotient space and subspace. Zbl 1348.15008Dmytryshyn, Andrii; da Fonseca, Carlos M.; Rybalkina, Tetiana 1 2016 Some consequences of an inequality on the spectral multiplicity of graphs. Zbl 1392.05074Erić, Aleksandra; da Fonseca, C. M. 1 2013 An interlacing theorem for matrices whose graph is a given tree. Zbl 1068.05017da Fonseca, C. M. 1 2004 On a conjecture regarding characteristic polynomial of a matrix pair. Zbl 1097.15008da Fonseca, C. M. 1 2005 A note on the spectra of tridiagonal matrices. Zbl 1073.15008da Fonseca, C. M.; Petronilho, J. 1 2004 The \(\mu \)-permanent of a tridiagonal matrix, orthogonal polynomials, and chain sequences. Zbl 1183.15007da Fonseca, C. M. 1 2010 The number of P-vertices for acyclic matrices of maximum nullity. Zbl 1421.05056Du, Zhibin; da Fonseca, Carlos M. 1 2019 The \(\mu\)-permanent revisited. Zbl 1420.15006da Fonseca, Carlos M. 1 2019 Lipschitz property for systems of linear mappings and bilinear forms. Zbl 1414.15013Alazemi, Abdullah; Anđelić, Milica; da Fonseca, Carlos M.; Sergeichuk, Vladimir V. 1 2019 The interesting spectral interlacing property for a certain tridiagonal matrix. Zbl 1450.15009da Fonseca, Carlos M.; Kılıç, Emrah; Pereira, António 1 2020 On some pentadiagonal matrices: their determinants and inverses. Zbl 1474.15068da Fonseca, Carlos M.; Losonczi, László 1 2020 On the determinant of general pentadiagonal matrices. Zbl 1474.15069Da Fonseca, Carlos M.; Losonczi, László 1 2020 Some determinantal considerations for pentadiagonal matrices. Zbl 1481.15002Anđelić, Milica; da Fonseca, Carlos M. 3 2021 A new type of Sylvester-Kac matrix and its spectrum. Zbl 1462.15038da Fonseca, Carlos M.; Kılıç, Emrah 3 2021 Eigenpairs of a family of tridiagonal matrices: three decades later. Zbl 1449.15012Da Fonseca, C. M.; Kowalenko, V. 8 2020 A matrix approach to some second-order difference equations with sign-alternating coefficients. Zbl 1472.39004Anđelić, Milica; Du, Zhibin; da Fonseca, Carlos M.; Kılıç, Emrah 4 2020 An observation on the determinant of a Sylvester-Kac type matrix. Zbl 07376150da Fonseca, Carlos M.; Kılıç, Emrah 3 2020 Tridiagonal matrices and spectral properties of some graph classes. Zbl 07285984Anđelić, Milica; Du, Zhibin; da Fonseca, Carlos M.; Simić, Slobodan K. 3 2020 A short note on the determinant of a Sylvester-Kac type matrix. Zbl 07336603da Fonseca, Carlos M. 2 2020 Ninety years of \(k\)-tridiagonal matrices. Zbl 1474.15067da Fonseca, Carlos M.; Kowalenko, Victor; Losonczi, László 2 2020 Explicit determinantal formula for a class of banded matrices. Zbl 1478.15010Amanbek, Yerlan; Du, Zhibin; Erlangga, Yogi; da Fonseca, Carlos M.; Kurmanbek, Bakytzhan; Pereira, António 1 2020 The interesting spectral interlacing property for a certain tridiagonal matrix. Zbl 1450.15009da Fonseca, Carlos M.; Kılıç, Emrah; Pereira, António 1 2020 On some pentadiagonal matrices: their determinants and inverses. Zbl 1474.15068da Fonseca, Carlos M.; Losonczi, László 1 2020 On the determinant of general pentadiagonal matrices. Zbl 1474.15069Da Fonseca, Carlos M.; Losonczi, László 1 2020 On the continuity of the maximum size of P-sets of acyclic matrices. Zbl 1418.05052Du, Zhibin; da Fonseca, Carlos M. 3 2019 Some comments on tridiagonal \((p,r)\)-Toeplitz matrices. Zbl 1414.15036Anđelić, Milica; da Fonseca, Carlos M. 2 2019 A short proof for a determinantal formula for generalized Fibonacci numbers. Zbl 1477.11032da Fonseca, Carlos M.; Anđelić, Milica 2 2019 The number of P-vertices for acyclic matrices of maximum nullity. Zbl 1421.05056Du, Zhibin; da Fonseca, Carlos M. 1 2019 The \(\mu\)-permanent revisited. Zbl 1420.15006da Fonseca, Carlos M. 1 2019 Lipschitz property for systems of linear mappings and bilinear forms. Zbl 1414.15013Alazemi, Abdullah; Anđelić, Milica; da Fonseca, Carlos M.; Sergeichuk, Vladimir V. 1 2019 Some forbidden combinations of branches in minimal-ABC trees. Zbl 1377.05030Dimitrov, Darko; Du, Zhibin; da Fonseca, Carlos M. 5 2018 The eigenvalues of some anti-tridiagonal Hankel matrices. Zbl 1474.15066da Fonseca, Carlos M. 2 2018 Basic trigonometric power sums with applications. Zbl 1357.33003da Fonseca, Carlos M.; Glasser, M. Lawrence; Kowalenko, Victor 10 2017 On a family of trees with minimal atom-bond connectivity index. Zbl 1330.05044Du, Zhibin; da Fonseca, Carlos M. 12 2016 On structural properties of trees with minimal atom-bond connectivity index. III: Trees with pendent paths of length three. Zbl 1410.05022Dimitrov, Darko; Du, Zhibin; da Fonseca, Carlos M. 12 2016 The singular acyclic matrices of even order with a P-set of maximum size. Zbl 1461.15025Du, Zhibin; da Fonseca, Carlos M. 3 2016 The real symmetric matrices of odd order with a P-set of maximum size. Zbl 1413.15015Du, Zhibin; da Fonseca, Carlos M. 3 2016 Reflexive line graphs of trees. Zbl 1409.05173Simić, Slobodan K.; Živković, Dejan; Anđelić, Milica; da Fonseca, Carlos M. 2 2016 On singular values related to DAEs in Kronecker canonical form. Zbl 1410.34038Estévez Schwarz, Diana; da Fonseca, Carlos M. 1 2016 Topological classification of sesquilinear forms: reduction to the nonsingular case. Zbl 1381.15013da Fonseca, Carlos M.; Rybalkina, Tetiana; Sergeichuk, Vladimir V. 1 2016 Classification of pairs of linear mappings between two vector spaces and between their quotient space and subspace. Zbl 1348.15008Dmytryshyn, Andrii; da Fonseca, Carlos M.; Rybalkina, Tetiana 1 2016 Young-type inequalities and their matrix analogues. Zbl 1316.15023Alzer, Horst; da Fonseca, Carlos M.; Kovačec, Alexander 14 2015 Some comments on \(k\)-tridiagonal matrices: determinant, spectra, and inversion. Zbl 1410.15053da Fonseca, Carlos M.; Yılmaz, Fatih 11 2015 Some new considerations about double nested graphs. Zbl 1319.05084Anđelić, M.; Andrade, E.; Cardoso, D. M.; da Fonseca, C. M.; Simić, S. K.; Tošić, D. V. 7 2015 On the multiplicities of eigenvalues of graphs and their vertex deleted subgraphs: old and new results. Zbl 1323.05083Simić, Slobodan K.; Andelić, Milica; Da Fonseca, Carlos M.; Živković, Dejan 6 2015 The acyclic matrices with a P-set of maximum size. Zbl 1307.15012Du, Zhibin; da Fonseca, Carlos M. 6 2015 A multi-temperature kinetic Ising model and the eigenvalues of some perturbed Jacobi matrices. Zbl 1390.15098da Fonseca, Carlos M.; Kouachi, Saïd; Mazilu, Dan A.; Mazilu, Irina 6 2015 The singular acyclic matrices with the second largest number of P-vertices. Zbl 1334.15026Du, Zhibin; da Fonseca, Carlos M. 3 2015 On \(\gamma\)-labelings of graphs. Zbl 1345.05086Da Fonseca, Carlos M.; Khemmani, Varanoot; Zhang, Ping 2 2015 Notes on the second largest eigenvalue of a graph. Zbl 1302.05112Simić, Slobodan K.; Anđelić, Milica; da Fonseca, Carlos M.; Živković, Dejan 2 2015 Further properties of the second Zagreb index. Zbl 1464.05063da Fonseca, Carlos M.; Stevanović, Dragan 21 2014 Counterexamples to a conjecture on Wiener index of common neighborhood graphs. Zbl 1464.05062da Fonseca, Carlos M.; Ghebleh, Mohammad; Kanso, Ali; Stevanović, Dragan 13 2014 Nonsingular acyclic matrices with an extremal number of P-vertices. Zbl 1282.15028Du, Zhibin; da Fonseca, C. M. 8 2014 Unifying some Pell and Fibonacci identities. Zbl 1334.11009da Fonseca, Carlos M. 3 2014 The determinants of circulant and skew-circulant matrices with Tribonacci numbers. Zbl 1384.11053Bozkurt, Durmus; da Fonseca, Carlos M.; Yilmaz, Fatih 1 2014 Nonsingular acyclic matrices with full number of \(P\)-vertices. Zbl 1276.15006Anđelić, Milica; Erić, Aleksandra; Da Fonseca, C. M. 9 2013 The maximum number of P-vertices of some nonsingular double star matrices. Zbl 1281.05091Erić, Aleksandra; da Fonseca, C. M. 8 2013 The singular acyclic matrices with maximal number of P-vertices. Zbl 1258.05024Du, Zhibin; da Fonseca, C. M. 8 2013 On the largest size of an antichain in the Bruhat order for \(\mathcal A (2k,k)\). Zbl 1260.05024Conflitti, Alessandro; da Fonseca, C. M.; Mamede, Ricardo 7 2013 On a finite sum with powers of cosines. Zbl 1382.11026da Fonseca, C. M.; Kowalenko, Victor 6 2013 The eigenpairs of a Sylvester-Kac type matrix associated with a simple model for one-dimensional deposition and evaporation. Zbl 1311.15016da Fonseca, C. M.; Mazilu, Dan A.; Mazilu, Irina; Williams, H. Thomas 5 2013 The eigenvalues of a family of persymmetric anti-tridiagonal 2-Hankel matrices. Zbl 1334.15071Akbulak, Mehmet; da Fonseca, C. M.; Yılmaz, Fatih 5 2013 Unordered multiplicity lists of wide double paths. Zbl 1290.05101Erić, Aleksandra; da Fonseca, C. M. 3 2013 Sharp spectral inequalities for connected bipartite graphs with maximal \(Q\)-index. Zbl 1301.05210Andelić, Milica; Fonseca, C. M.da; Koledin, Tamara; Stanić, Zoran 3 2013 Extremal values fo a \(\gamma\)-labeling of a cycle with a triangle. Zbl 1293.05349da Fonseca, C. M.; Saenpholphat, Varaporn; Zhang, Ping 2 2013 Some consequences of an inequality on the spectral multiplicity of graphs. Zbl 1392.05074Erić, Aleksandra; da Fonseca, C. M. 1 2013 The maximal length of a chain in the Bruhat order for a class of binary matrices. Zbl 1236.05046Conflitti, Alessandro; da Fonseca, C. M.; Mamede, Ricardo 11 2012 Connected graphs of fixed order and size with maximal \(Q\)-index: some spectral bounds. Zbl 1239.05115Anđelić, Milica; da Fonseca, Carlos M.; Simić, Slobodan K.; Tošić, Dejan V. 4 2012 On the number of P-vertices of some graphs. Zbl 1225.05078Andelić, Milica; da Fonseca, C. M.; Mamede, Ricardo 13 2011 An inverse eigenvalue problem for periodic Jacobi matrices in Minkowski spaces. Zbl 1259.15011Bebiano, Natália; da Fonseca, C. M.; da Providência, João 8 2011 On bounds for the index of double nested graphs. Zbl 1222.05145Andelić, M.; da Fonseca, C. M.; Simić, S. K.; Tošić, D. V. 7 2011 An identity between the determinant and the permanent of Hessenberg-type matrices. Zbl 1249.15011da Fonseca, Carlos Martins 5 2011 Sufficient conditions for positive definiteness of tridiagonal matrices revisited. Zbl 1216.15022Anđelić, Milica; da Fonseca, C. M. 3 2011 The \(\gamma \)-spectrum of a graph. Zbl 1265.05559da Fonseca, C. M.; Saenpholphat, Varaporn; Zhang, Ping 2 2011 A lower bound for the number of distinct eigenvalues of some real symmetric matrices. Zbl 1205.05138Da Fonseca, C. M. 4 2010 The \(\mu \)-permanent of a tridiagonal matrix, orthogonal polynomials, and chain sequences. Zbl 1183.15007da Fonseca, C. M. 1 2010 The inverse eigenvalue problem for Hermitian matrices whose graphs are cycles. Zbl 1180.15020Fernandes, Rosário; da Fonseca, C. M. 9 2009 On (0, 1)-matrices with prescribed row and column sum vectors. Zbl 1197.05160da Fonseca, C. M.; Mamede, Ricardo 5 2009 The number of faces of the tridiagonal Birkhoff polytope. Zbl 1185.52007Costa, L.; Da Fonseca, C. M.; Martins, E. A. 4 2009 Face counting on an acyclic Birkhoff polytope. Zbl 1169.05301Costa, Liliana; da Fonseca, C. M.; Martins, Enide Andrade 4 2009 On the spectra of certain directed paths. Zbl 1173.90360da Fonseca, C. M.; Veerman, J. J. P. 3 2009 The diameter of the acyclic Birkhoff polytope. Zbl 1213.05163Costa, Liliana; Da Fonseca, C. M.; Martins, Enide Andrade 13 2008 Fibonacci numbers, alternating parity sequences and faces of the tridiagonal Birkhoff polytope. Zbl 1133.05005da Fonseca, C. M.; Marques de Sá, E. 10 2008 On the multiplicities of eigenvalues of a Hermitian matrix whose graph is a tree. Zbl 1144.15003Da Fonseca, C. M. 5 2008 On the eigenvalues of some tridiagonal matrices. Zbl 1119.15012da Fonseca, C. M. 35 2007 The characteristic polynomial of some perturbed tridiagonal \(k\)-Toeplitz matrices. Zbl 1148.15005da Fonseca, C. M. 11 2007 On the location of the eigenvalues of Jacobi matrices. Zbl 1176.15027da Fonseca, C. M. 11 2006 On the inertia sets of some symmetric sign patterns. Zbl 1164.15318da Fonseca, C. M. 4 2006 Explicit inverse of a tridiagonal \(k\)-Toeplitz matrix. Zbl 1076.15011da Fonseca, C. M.; Petronilho, J. 37 2005 Interlacing properties for Hermitian matrices whose graph is a given tree. Zbl 1095.15009da Fonseca, C. M. 4 2005 On a conjecture about the \(\mu\)-permanent. Zbl 1078.15007da Fonseca, C. M. 3 2005 A note on the multiplicities of the eigenvalues of a graph. Zbl 1078.15009da Fonseca, C. M. 3 2005 On a conjecture regarding characteristic polynomial of a matrix pair. Zbl 1097.15008da Fonseca, C. M. 1 2005 An interlacing theorem for matrices whose graph is a given tree. Zbl 1068.05017da Fonseca, C. M. 1 2004 A note on the spectra of tridiagonal matrices. Zbl 1073.15008da Fonseca, C. M.; Petronilho, J. 1 2004 Explicit inverses of some tridiagonal matrices. Zbl 0983.15007da Fonseca, C. M.; Petronilho, J. 49 2001 The inertia of Hermitian block matrices with zero main diagonal. Zbl 0961.15013da Fonseca, C. M. 6 2000 The inertia of certain Hermitian block matrices. Zbl 0929.15019da Fonseca, C. M. 11 1998 Path polynomials of a circuit: A constructive approach. Zbl 0926.05025da Fonseca, C. M.; Petronilho, J. 4 1998 all cited Publications top 5 cited Publications all top 5 Cited by 461 Authors 56 da Fonseca, Carlos Martins 17 Du, Zhibin 16 Andelić, Milica 10 Bebiano, Natália Isabel Quadros 10 Dimitrov, Darko 10 Jiang, Zhaolin 9 Fernandes, Rosário 8 da Cruz, Henrique F. 8 Simić, Slobodan K. 8 Tian, Yongge 7 Costa, Liliana 7 Petronilho, José C. 6 Kilic, Emrah 5 Alazemi, Abdullah 5 Chen, Guoliang 5 Furtado, Susana 5 Gutman, Ivan M. 5 Jiang, Xiaoyu 5 Xu, Weiru 4 Das, Kinkar Chandra 4 de Abreu, Nair Maria Maia 4 Mamede, Ricardo 4 Sciriha, Irene 4 Škrekovski, Riste 3 Andrade Martins, Enide 3 Ayyaswamy, Singaraj Kulandaiswamy 3 Dahl, Geir 3 Dehmer, Matthias 3 Deng, Hanyuan 3 Dragomir, Sever Silvestru 3 Ghebleh, Mohammad 3 Jiang, Bo 3 Kowalenko, Victor 3 Li, Shuchao 3 Losonczi, László 3 Martins, Enide A. 3 Oblak, Polona 3 Sababheh, Mohamad Suboh 3 Salomão, Domingos 3 Sarala, D. 3 Shi, Yongtang 3 Shon, Sugoog 3 Šmigoc, Helena 3 Sogabe, Tomohiro 3 Veerman, J. J. P. 3 Wei, Yunlan 3 Zheng, Yanpeng 2 Akbulak, Mehmet 2 Akkouchi, Mohamed 2 Ali, Didar A. 2 Álvarez-Nodarse, Renato 2 Amanbek, Yerlan 2 Balachandran, Selvaraj 2 Brualdi, Richard Anthony 2 Cao, Shujuan 2 Carmona, Ángeles 2 Chen, Xiaodan 2 Conflitti, Alessandro 2 da Providência Santarém e Costa, João 2 de Jesus, M. N. 2 Elouafi, Mohamed 2 Encinas, Andrés M. 2 Erić, Aleksandra Lj. 2 Erlangga, Yogi A. 2 Estévez Schwarz, Diana 2 Fu, Yaru 2 Furtula, Boris 2 Futorny, Vyacheslav M. 2 Gauci, John Baptist 2 Glasser, M. Lawrence 2 Gutiérrez-Gutiérrez, Jesús 2 Hammond, David K. 2 Huang, Ting-Zhu 2 Ighachane, Mohamed Amine 2 Ikica, Barbara 2 Jhang, Seongtae 2 Ji, Shengjin 2 Jia, Jiteng 2 Khemmani, Varanoot 2 Kurmanbek, Bakytzhan 2 Matsubayashi, Nobuo 2 Mitjana, Margarida 2 Mohammadian, Ali 2 Quintero, Niurka R. 2 Radons, Manuel 2 Ran, Ruisheng 2 Ren, Yonghui 2 Saduakdee, Supaporn 2 Sergeichuk, Vladimir Vasil’evich 2 Serôdio, Rogério 2 Sharaf, Khidir R. 2 Su, Guifu 2 Tian, Qing 2 Tošić, Dejan V. 2 Tu, Jianhua 2 Yilmaz, Fatih 2 Zhang, Huihui 2 Zhang, Zhizheng 1 Abad, Manuel F. 1 Abderramán Marrero, J. ...and 361 more Authors all top 5 Cited in 111 Serials 54 Applied Mathematics and Computation 50 Linear Algebra and its Applications 17 Linear and Multilinear Algebra 15 Discrete Applied Mathematics 13 Special Matrices 9 Discrete Mathematics 9 Journal of Computational and Applied Mathematics 7 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 5 Applied Mathematics Letters 4 Czechoslovak Mathematical Journal 4 ELA. The Electronic Journal of Linear Algebra 4 Ars Mathematica Contemporanea 4 Open Mathematics 3 Journal of Mathematical Analysis and Applications 3 Journal of Mathematical Sciences (New York) 3 Computational and Applied Mathematics 3 Filomat 3 Discussiones Mathematicae. Graph Theory 3 Journal of Difference Equations and Applications 3 Journal of Discrete Mathematical Sciences & Cryptography 2 Computers & Mathematics with Applications 2 Journal of Mathematical Physics 2 Journal of Combinatorial Theory. Series A 2 Proceedings of the American Mathematical Society 2 Order 2 SIAM Journal on Matrix Analysis and Applications 2 Economics Letters 2 Numerical Algorithms 2 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 2 Mediterranean Journal of Mathematics 2 Advances in Difference Equations 2 AKCE International Journal of Graphs and Combinatorics 2 Journal of Statistical Mechanics: Theory and Experiment 2 Optimization Letters 2 Operators and Matrices 2 Acta Universitatis Sapientiae. Mathematica 2 Annals of Functional Analysis 2 Journal of Applied Analysis and Computation 1 Journal of the Franklin Institute 1 Journal of Mathematical Biology 1 Journal of the Mechanics and Physics of Solids 1 Lithuanian Mathematical Journal 1 Rocky Mountain Journal of Mathematics 1 Wave Motion 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 BIT 1 Duke Mathematical Journal 1 Journal of Approximation Theory 1 Journal of Combinatorial Theory. Series B 1 Journal of Number Theory 1 Journal of Optimization Theory and Applications 1 Mathematics and Computers in Simulation 1 Mathematica Slovaca 1 Numerical Functional Analysis and Optimization 1 Numerische Mathematik 1 Results in Mathematics 1 Theoretical Population Biology 1 European Journal of Combinatorics 1 Mathematical Social Sciences 1 Acta Mathematica Hungarica 1 Bulletin of the Iranian Mathematical Society 1 Physica D 1 Graphs and Combinatorics 1 Computational Mechanics 1 Mathematical and Computer Modelling 1 SIAM Journal on Discrete Mathematics 1 Journal of Scientific Computing 1 Journal of the Ramanujan Mathematical Society 1 Random Structures & Algorithms 1 Computational Statistics 1 Glasnik Matematički. Serija III 1 Stochastic Processes and their Applications 1 The Australasian Journal of Combinatorics 1 Continuum Mechanics and Thermodynamics 1 Algebra Colloquium 1 Turkish Journal of Mathematics 1 Top 1 Bulletin des Sciences Mathématiques 1 Journal of Mathematical Chemistry 1 The Ramanujan Journal 1 Nonlinear Dynamics 1 Journal of Inequalities and Applications 1 Chaos 1 Discrete Dynamics in Nature and Society 1 Acta Mathematica Sinica. English Series 1 International Journal of Nonlinear Sciences and Numerical Simulation 1 Kragujevac Journal of Mathematics 1 Portugaliae Mathematica. Nova Série 1 JP Journal of Algebra, Number Theory and Applications 1 Journal of Applied Mathematics and Computing 1 Hacettepe Journal of Mathematics and Statistics 1 Thai Journal of Mathematics 1 Inverse Problems in Science and Engineering 1 Chebyshevskiĭ Sbornik 1 Computational & Mathematical Methods in Medicine 1 Applicable Analysis and Discrete Mathematics 1 Asian-European Journal of Mathematics 1 Advances and Applications in Discrete Mathematics 1 Advances in Differential Equations and Control Processes 1 Algorithms ...and 11 more Serials all top 5 Cited in 37 Fields 178 Linear and multilinear algebra; matrix theory (15-XX) 142 Combinatorics (05-XX) 41 Numerical analysis (65-XX) 38 Number theory (11-XX) 22 Biology and other natural sciences (92-XX) 21 Operator theory (47-XX) 17 Special functions (33-XX) 13 Harmonic analysis on Euclidean spaces (42-XX) 10 Order, lattices, ordered algebraic structures (06-XX) 10 Difference and functional equations (39-XX) 9 Ordinary differential equations (34-XX) 9 Probability theory and stochastic processes (60-XX) 8 Real functions (26-XX) 8 Convex and discrete geometry (52-XX) 7 Statistical mechanics, structure of matter (82-XX) 7 Operations research, mathematical programming (90-XX) 6 Computer science (68-XX) 6 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 5 Partial differential equations (35-XX) 5 Statistics (62-XX) 5 Quantum theory (81-XX) 5 Information and communication theory, circuits (94-XX) 4 Dynamical systems and ergodic theory (37-XX) 3 Field theory and polynomials (12-XX) 3 Functions of a complex variable (30-XX) 3 Functional analysis (46-XX) 3 Mechanics of particles and systems (70-XX) 3 Mechanics of deformable solids (74-XX) 2 Approximations and expansions (41-XX) 2 Systems theory; control (93-XX) 1 General and overarching topics; collections (00-XX) 1 Nonassociative rings and algebras (17-XX) 1 Potential theory (31-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Sequences, series, summability (40-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Relativity and gravitational theory (83-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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