Edit Profile da Fonseca, Carlos Martins Compute Distance To: Compute Author ID: da-fonseca.carlos-martins Published as: Da Fonseca, C. M.; Da Fonseca, Carlos M.; Fonseca, C. M.da; da Fonseca, C. M.; da Fonseca, Carlos M.; da Fonseca, Carlos Martins Homepage: http://www.mat.uc.pt/~cmf/ External Links: MGP · Wikidata · dblp Documents Indexed: 116 Publications since 1994, including 3 Books Reviewing Activity: 236 Reviews all top 5 Co-Authors 32 single-authored 19 Andelić, Milica 16 Du, Zhibin 9 Simić, Slobodan K. 5 Erić, Aleksandra Lj. 5 Mamede, Ricardo 4 Kowalenko, Victor 4 Losonczi, László 4 Petronilho, José C. 4 Saenpholphat, Varaporn 4 Tošić, Dejan V. 3 Costa, Liliana 3 Kilic, Emrah 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 Dimitrov, Darko 2 Mazilu, Dan A. 2 Mazilu, Irina 2 Pereira, António 2 Stevanović, Dragan 1 Akbulak, Mehmet 1 Alazemi, Abdullah 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 Das, Kinkar Chandra 1 Dmytryshyn, Andrii R. 1 Estévez Schwarz, Diana 1 Fernandes, Rosário 1 Friedland, Shmuel 1 Futorny, Vyacheslav M. 1 Ghebleh, Mohammad 1 Glasser, M. Lawrence 1 Hacıoğlu, İlhan 1 Huynh, Dinh Van 1 Kanso, Ali 1 Khemmani, Varanoot 1 Kirkland, Steve J. 1 Koledin, Tamara 1 Kouachi, Said 1 Kovačec, Alexander 1 Kurkcu, Burak 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 Zhang, Yang all top 5 Serials 22 Linear Algebra and its Applications 14 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 Applied Mathematics Letters 2 Journal of Computational and Applied Mathematics 2 Utilitas Mathematica 2 Boletim da Sociedade Portuguesa de Matemática 2 Journal of Mathematical Sciences (New York) 2 Filomat 2 MATCH - Communications in Mathematical and in Computer Chemistry 2 Ars Mathematica Contemporanea 2 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Ars Combinatoria 1 International Journal of Mathematics and Mathematical Sciences 1 Numerische Mathematik 1 Portugaliae Mathematica 1 Publicationes Mathematicae 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 Bulletin Mathématique de la Société des Sciences Mathématiques de Roumanie. Nouvelle Série 1 Journal of Algebraic Combinatorics 1 Numerical Linear Algebra with Applications 1 Discussiones Mathematicae. Graph Theory 1 Journal of Difference Equations and Applications 1 Analele Ştiinţifice ale Universităţii “Ovidius” Constanţa. Seria: Matematică 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 Applicable Analysis and Discrete Mathematics 1 Kuwait Journal of Science 1 Mathematical Sciences & Applications E-Notes 1 Open Mathematics all top 5 Fields 82 Linear and multilinear algebra; matrix theory (15-XX) 66 Combinatorics (05-XX) 13 Numerical analysis (65-XX) 8 Number theory (11-XX) 7 Harmonic analysis on Euclidean spaces (42-XX) 5 Special functions (33-XX) 4 General and overarching topics; collections (00-XX) 3 Order, lattices, ordered algebraic structures (06-XX) 3 Operator theory (47-XX) 3 Convex and discrete geometry (52-XX) 2 Real functions (26-XX) 2 Dynamical systems and ergodic theory (37-XX) 1 Mathematical logic and foundations (03-XX) 1 Field theory and polynomials (12-XX) 1 Associative rings and algebras (16-XX) 1 Ordinary differential equations (34-XX) 1 Partial differential equations (35-XX) 1 Difference and functional equations (39-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) 1 Biology and other natural sciences (92-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 75 Publications have been cited 434 times in 266 Documents Cited by ▼ Year ▼ Explicit inverses of some tridiagonal matrices. Zbl 0983.15007da Fonseca, C. M.; Petronilho, J. 42 2001 Explicit inverse of a tridiagonal \(k\)-Toeplitz matrix. Zbl 1076.15011da Fonseca, C. M.; Petronilho, J. 31 2005 On the eigenvalues of some tridiagonal matrices. Zbl 1119.15012da Fonseca, C. M. 28 2007 Further properties of the second Zagreb index. Zbl 06704633da Fonseca, Carlos M.; Stevanović, Dragan 18 2014 Counterexamples to a conjecture on Wiener index of common neighborhood graphs. Zbl 06704619da Fonseca, Carlos M.; Ghebleh, Mohammad; Kanso, Ali; Stevanović, Dragan 13 2014 The diameter of the acyclic Birkhoff polytope. Zbl 1213.05163Costa, Liliana; Da Fonseca, C. M.; Martins, Enide Andrade 13 2008 Young-type inequalities and their matrix analogues. Zbl 1316.15023Alzer, Horst; da Fonseca, Carlos M.; Kovačec, Alexander 12 2015 On the number of P-vertices of some graphs. Zbl 1225.05078Andelić, Milica; da Fonseca, C. M.; Mamede, Ricardo 11 2011 The inertia of certain Hermitian block matrices. Zbl 0929.15019da Fonseca, C. M. 11 1998 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 10 2012 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 a family of trees with minimal atom-bond connectivity index. Zbl 1330.05044Du, Zhibin; da Fonseca, Carlos M. 9 2016 Nonsingular acyclic matrices with full number of \(P\)-vertices. Zbl 1276.15006Anđelić, Milica; Erić, Aleksandra; Da Fonseca, C. M. 9 2013 On the location of the eigenvalues of Jacobi matrices. Zbl 1176.15027da Fonseca, C. M. 9 2006 Basic trigonometric power sums with applications. Zbl 1357.33003da Fonseca, Carlos M.; Glasser, M. Lawrence; Kowalenko, Victor 8 2017 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. 8 2016 The singular acyclic matrices with maximal number of P-vertices. Zbl 1258.05024Du, Zhibin; da Fonseca, C. M. 8 2013 Nonsingular acyclic matrices with an extremal number of P-vertices. Zbl 1282.15028Du, Zhibin; da Fonseca, C. M. 7 2014 The maximum number of P-vertices of some nonsingular double star matrices. Zbl 1281.05091Erić, Aleksandra; da Fonseca, C. M. 7 2013 The characteristic polynomial of some perturbed tridiagonal \(k\)-Toeplitz matrices. Zbl 1148.15005da Fonseca, C. M. 7 2007 Some comments on \(k\)-tridiagonal matrices: determinant, spectra, and inversion. Zbl 1410.15053da Fonseca, Carlos M.; Yılmaz, Fatih 6 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 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 6 2013 The inverse eigenvalue problem for Hermitian matrices whose graphs are cycles. Zbl 1180.15020Fernandes, Rosário; da Fonseca, C. M. 6 2009 The inertia of Hermitian block matrices with zero main diagonal. Zbl 0961.15013da Fonseca, C. M. 6 2000 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. 5 2015 On a finite sum with powers of cosines. Zbl 1382.11026da Fonseca, C. M.; Kowalenko, Victor 5 2013 An inverse eigenvalue problem for periodic Jacobi matrices in Minkowski spaces. Zbl 1259.15011Bebiano, Natália; da Fonseca, C. M.; da Providência, João 5 2011 On (0, 1)-matrices with prescribed row and column sum vectors. Zbl 1197.05160da Fonseca, C. M.; Mamede, Ricardo 5 2009 On the multiplicities of eigenvalues of a Hermitian matrix whose graph is a tree. Zbl 1144.15003Da Fonseca, C. M. 5 2008 The eigenvalues of a family of persymmetric anti-tridiagonal 2-Hankel matrices. Zbl 1334.15071Akbulak, Mehmet; da Fonseca, C. M.; Yılmaz, Fatih 4 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 4 2013 An identity between the determinant and the permanent of Hessenberg-type matrices. Zbl 1249.15011da Fonseca, Carlos Martins 4 2011 On bounds for the index of double nested graphs. Zbl 1222.05145Andelić, M.; da Fonseca, C. M.; Simić, S. K.; Tošić, D. V. 4 2011 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 inertia sets of some symmetric sign patterns. Zbl 1164.15318da Fonseca, C. M. 4 2006 Interlacing properties for Hermitian matrices whose graph is a given tree. Zbl 1095.15009da Fonseca, C. M. 4 2005 Eigenpairs of a family of tridiagonal matrices: three decades later. Zbl 1449.15012Da Fonseca, C. M.; Kowalenko, V. 3 2020 On the continuity of the maximum size of P-sets of acyclic matrices. Zbl 1418.05052Du, Zhibin; da Fonseca, Carlos M. 3 2019 The singular acyclic matrices of even order with a P-set of maximum size. Zbl 06749979Du, 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. 3 2016 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 3 2015 The singular acyclic matrices with the second largest number of P-vertices. Zbl 1334.15026Du, Zhibin; da Fonseca, Carlos M. 3 2015 Unordered multiplicity lists of wide double paths. Zbl 1290.05101Erić, Aleksandra; da Fonseca, C. M. 3 2013 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. 3 2012 A lower bound for the number of distinct eigenvalues of some real symmetric matrices. Zbl 1205.05138Da Fonseca, C. M. 3 2010 On the spectra of certain directed paths. Zbl 1173.90360da Fonseca, C. M.; Veerman, J. J. P. 3 2009 On a conjecture about the \(\mu\)-permanent. Zbl 1078.15007da Fonseca, C. M. 3 2005 Path polynomials of a circuit: A constructive approach. Zbl 0926.05025da Fonseca, C. M.; Petronilho, J. 3 1998 Some forbidden combinations of branches in minimal-ABC trees. Zbl 1377.05030Dimitrov, Darko; Du, Zhibin; da Fonseca, Carlos M. 2 2018 On \(\gamma\)-labelings of graphs. Zbl 1345.05086Da Fonseca, Carlos M.; Khemmani, Varanoot; Zhang, Ping 2 2015 Unifying some Pell and Fibonacci identities. Zbl 1334.11009da Fonseca, Carlos M. 2 2014 Some consequences of an inequality on the spectral multiplicity of graphs. Zbl 1392.05074Erić, Aleksandra; da Fonseca, C. M. 2 2013 Sharp spectral inequalities for connected bipartite graphs with maximal \(Q\)-index. Zbl 1301.05210Andelić, Milica; Fonseca, C. M.da; Koledin, Tamara; Stanić, Zoran 2 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 The \(\gamma \)-spectrum of a graph. Zbl 1265.05559da Fonseca, C. M.; Saenpholphat, Varaporn; Zhang, Ping 2 2011 A note on the multiplicities of the eigenvalues of a graph. Zbl 1078.15009da Fonseca, C. M. 2 2005 A new type of Sylvester-Kac matrix and its spectrum. Zbl 07333213da Fonseca, Carlos M.; Kılıç, Emrah 1 2021 A matrix approach to some second-order difference equations with sign-alternating coefficients. Zbl 07188819Anđelić, Milica; Du, Zhibin; da Fonseca, Carlos M.; Kılıç, Emrah 1 2020 The number of P-vertices for acyclic matrices of maximum nullity. Zbl 1421.05056Du, Zhibin; da 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 comments on tridiagonal \((p,r)\)-Toeplitz matrices. Zbl 1414.15036Anđelić, Milica; da Fonseca, Carlos M. 1 2019 On singular values related to DAEs in Kronecker canonical form. Zbl 1410.34038Estévez Schwarz, Diana; da Fonseca, Carlos M. 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 Topological classification of sesquilinear forms: reduction to the nonsingular case. Zbl 1381.15013da Fonseca, Carlos M.; Rybalkina, Tetiana; Sergeichuk, Vladimir V. 1 2016 Notes on the second largest eigenvalue of a graph. Zbl 1302.05112Simić, Slobodan K.; Anđelić, Milica; da Fonseca, Carlos M.; Živković, Dejan 1 2015 The determinants of circulant and skew-circulant matrices with Tribonacci numbers. Zbl 1384.11053Bozkurt, Durmus; da Fonseca, Carlos M.; Yilmaz, Fatih 1 2014 Some further bounds for the \(Q\)-index of nested split graphs. Zbl 1254.05095Anđelić, M.; da Fonseca, C. M.; Simić, S. K.; Tošić, D. V. 1 2012 Sufficient conditions for positive definiteness of tridiagonal matrices revisited. Zbl 1216.15022Anđelić, Milica; da Fonseca, C. M. 1 2011 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 A new type of Sylvester-Kac matrix and its spectrum. Zbl 07333213da Fonseca, Carlos M.; Kılıç, Emrah 1 2021 Eigenpairs of a family of tridiagonal matrices: three decades later. Zbl 1449.15012Da Fonseca, C. M.; Kowalenko, V. 3 2020 A matrix approach to some second-order difference equations with sign-alternating coefficients. Zbl 07188819Anđelić, Milica; Du, Zhibin; da Fonseca, Carlos M.; Kılıç, Emrah 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 The number of P-vertices for acyclic matrices of maximum nullity. Zbl 1421.05056Du, Zhibin; da 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 comments on tridiagonal \((p,r)\)-Toeplitz matrices. Zbl 1414.15036Anđelić, Milica; da Fonseca, Carlos M. 1 2019 Some forbidden combinations of branches in minimal-ABC trees. Zbl 1377.05030Dimitrov, Darko; Du, Zhibin; da Fonseca, Carlos M. 2 2018 Basic trigonometric power sums with applications. Zbl 1357.33003da Fonseca, Carlos M.; Glasser, M. Lawrence; Kowalenko, Victor 8 2017 On a family of trees with minimal atom-bond connectivity index. Zbl 1330.05044Du, Zhibin; da Fonseca, Carlos M. 9 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. 8 2016 The singular acyclic matrices of even order with a P-set of maximum size. Zbl 06749979Du, 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. 3 2016 On singular values related to DAEs in Kronecker canonical form. Zbl 1410.34038Estévez Schwarz, Diana; da Fonseca, Carlos M. 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 Topological classification of sesquilinear forms: reduction to the nonsingular case. Zbl 1381.15013da Fonseca, Carlos M.; Rybalkina, Tetiana; Sergeichuk, Vladimir V. 1 2016 Young-type inequalities and their matrix analogues. Zbl 1316.15023Alzer, Horst; da Fonseca, Carlos M.; Kovačec, Alexander 12 2015 Some comments on \(k\)-tridiagonal matrices: determinant, spectra, and inversion. Zbl 1410.15053da Fonseca, Carlos M.; Yılmaz, Fatih 6 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 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. 5 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 3 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 1 2015 Further properties of the second Zagreb index. Zbl 06704633da Fonseca, Carlos M.; Stevanović, Dragan 18 2014 Counterexamples to a conjecture on Wiener index of common neighborhood graphs. Zbl 06704619da 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. 7 2014 Unifying some Pell and Fibonacci identities. Zbl 1334.11009da Fonseca, Carlos M. 2 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 singular acyclic matrices with maximal number of P-vertices. Zbl 1258.05024Du, Zhibin; da Fonseca, C. M. 8 2013 The maximum number of P-vertices of some nonsingular double star matrices. Zbl 1281.05091Erić, Aleksandra; da Fonseca, C. M. 7 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 6 2013 On a finite sum with powers of cosines. Zbl 1382.11026da Fonseca, C. M.; Kowalenko, Victor 5 2013 The eigenvalues of a family of persymmetric anti-tridiagonal 2-Hankel matrices. Zbl 1334.15071Akbulak, Mehmet; da Fonseca, C. M.; Yılmaz, Fatih 4 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 4 2013 Unordered multiplicity lists of wide double paths. Zbl 1290.05101Erić, Aleksandra; da Fonseca, C. M. 3 2013 Some consequences of an inequality on the spectral multiplicity of graphs. Zbl 1392.05074Erić, Aleksandra; da Fonseca, C. M. 2 2013 Sharp spectral inequalities for connected bipartite graphs with maximal \(Q\)-index. Zbl 1301.05210Andelić, Milica; Fonseca, C. M.da; Koledin, Tamara; Stanić, Zoran 2 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 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 10 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. 3 2012 Some further bounds for the \(Q\)-index of nested split graphs. Zbl 1254.05095Anđelić, M.; da Fonseca, C. M.; Simić, S. K.; Tošić, D. V. 1 2012 On the number of P-vertices of some graphs. Zbl 1225.05078Andelić, Milica; da Fonseca, C. M.; Mamede, Ricardo 11 2011 An inverse eigenvalue problem for periodic Jacobi matrices in Minkowski spaces. Zbl 1259.15011Bebiano, Natália; da Fonseca, C. M.; da Providência, João 5 2011 An identity between the determinant and the permanent of Hessenberg-type matrices. Zbl 1249.15011da Fonseca, Carlos Martins 4 2011 On bounds for the index of double nested graphs. Zbl 1222.05145Andelić, M.; da Fonseca, C. M.; Simić, S. K.; Tošić, D. V. 4 2011 The \(\gamma \)-spectrum of a graph. Zbl 1265.05559da Fonseca, C. M.; Saenpholphat, Varaporn; Zhang, Ping 2 2011 Sufficient conditions for positive definiteness of tridiagonal matrices revisited. Zbl 1216.15022Anđelić, Milica; da Fonseca, C. M. 1 2011 A lower bound for the number of distinct eigenvalues of some real symmetric matrices. Zbl 1205.05138Da Fonseca, C. M. 3 2010 The inverse eigenvalue problem for Hermitian matrices whose graphs are cycles. Zbl 1180.15020Fernandes, Rosário; da Fonseca, C. M. 6 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. 28 2007 The characteristic polynomial of some perturbed tridiagonal \(k\)-Toeplitz matrices. Zbl 1148.15005da Fonseca, C. M. 7 2007 On the location of the eigenvalues of Jacobi matrices. Zbl 1176.15027da Fonseca, C. M. 9 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. 31 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. 2 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. 42 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. 3 1998 all cited Publications top 5 cited Publications all top 5 Cited by 378 Authors 48 da Fonseca, Carlos Martins 13 Andelić, Milica 13 Du, Zhibin 9 Simić, Slobodan K. 8 Fernandes, Rosário 8 Tian, Yongge 7 Bebiano, Natália Isabel Quadros 7 Costa, Liliana 7 da Cruz, Henrique F. 7 Dimitrov, Darko 7 Petronilho, José C. 6 Kilic, Emrah 5 Encinas, Andrés M. 5 Furtado, Susana 5 Jiang, Zhaolin 4 Abreu, Nair Maria Maia de 4 Das, Kinkar Chandra 4 Gutman, Ivan M. 4 Jiang, Xiaoyu 4 Jiménez, María José 4 Mamede, Ricardo 4 Sciriha, Irene 4 Škrekovski, Riste 3 Andrade Martins, Enide 3 Dahl, Geir 3 Dehmer, Matthias 3 Dragomir, Sever Silvestru 3 Ghebleh, Mohammad 3 Jiang, Bo 3 Martins, Enide A. 3 Oblak, Polona 3 Sababheh, Mohamad Suboh 3 Shi, Yongtang 3 Šmigoc, Helena 3 Sogabe, Tomohiro 3 Tošić, Dejan V. 3 Veerman, J. J. P. 2 Akbulak, Mehmet 2 Alazemi, Abdullah 2 Ali, Didar A. 2 Álvarez-Nodarse, Renato 2 Ayyaswamy, Singaraj Kulandaiswamy 2 Balachandran, Selvaraj 2 Brualdi, Richard Anthony 2 Cao, Shujuan 2 Carmona, Ángeles 2 Chen, Guoliang 2 Chen, Xiaodan 2 Conflitti, Alessandro 2 da Providência Santarém e Costa, João 2 de Jesus, M. N. 2 Deng, Hanyuan 2 Elouafi, Mohamed 2 Encinas, Andres Marcos 2 Erić, Aleksandra Lj. 2 Estévez Schwarz, Diana 2 Fu, Yaru 2 Futorny, Vyacheslav M. 2 Gauci, John Baptist 2 Gutiérrez-Gutiérrez, Jesús 2 Hammond, David K. 2 Huang, Ting-Zhu 2 Ikica, Barbara 2 Jhang, Seongtae 2 Ji, Shengjin 2 Jia, Jiteng 2 Khemmani, Varanoot 2 Kowalenko, Victor 2 Li, Shuchao 2 Losonczi, László 2 Matsubayashi, Nobuo 2 Mitjana, Margarida 2 Mohammadian, Ali 2 Quintero, Niurka R. 2 Rachidi, Mouna 2 Ran, Ruisheng 2 Ren, Yonghui 2 Saduakdee, Supaporn 2 Salomão, Domingos 2 Sarala, D. 2 Sergeichuk, Vladimir Vasil’evich 2 Serôdio, Rogério 2 Sharaf, Khidir R. 2 Su, Guifu 2 Tian, Qing 2 Tu, Jianhua 2 Xu, Weiru 2 Yilmaz, Fatih 2 Zhang, Zhizheng 1 Abad, Manuel F. 1 Abderramán Marrero, J. 1 Abderramán Marrero, Jesús 1 Abdoulkary, Saïdou 1 Abu-As’ad, Ata 1 Adam, Maria 1 Akkouchi, Mohamed 1 Al-Henawy, A. Sh. 1 Alberto, José 1 Alencar, Jorge 1 Alzer, Horst ...and 278 more Authors all top 5 Cited in 86 Serials 47 Applied Mathematics and Computation 47 Linear Algebra and its Applications 16 Discrete Applied Mathematics 14 Linear and Multilinear Algebra 9 Special Matrices 8 Journal of Computational and Applied Mathematics 7 Discrete Mathematics 6 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 4 Czechoslovak Mathematical Journal 4 Applied Mathematics Letters 3 Journal of Mathematical Analysis and Applications 3 Journal of Mathematical Sciences (New York) 3 Discussiones Mathematicae. Graph Theory 3 Ars Mathematica Contemporanea 3 Open Mathematics 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 Computational and Applied Mathematics 2 Journal of Difference Equations and Applications 2 ELA. The Electronic Journal of Linear Algebra 2 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 2 Mediterranean Journal of Mathematics 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 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 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 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 Journal of Mathematical Chemistry 1 The Ramanujan Journal 1 Nonlinear Dynamics 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 Portugaliae Mathematica. Nova Série 1 Thai Journal of Mathematics 1 Advances in Difference Equations 1 Journal of Statistical Mechanics: Theory and Experiment 1 Optimization Letters 1 Computational & Mathematical Methods in Medicine 1 Operators and Matrices 1 Algorithms 1 Annals of Functional Analysis 1 Iranian Journal of Mathematical Chemistry 1 Numerical Algebra, Control and Optimization 1 Palestine Journal of Mathematics 1 Transactions on Combinatorics 1 Mathematics 1 Khayyam Journal of Mathematics all top 5 Cited in 36 Fields 142 Linear and multilinear algebra; matrix theory (15-XX) 119 Combinatorics (05-XX) 35 Numerical analysis (65-XX) 26 Number theory (11-XX) 17 Biology and other natural sciences (92-XX) 16 Operator theory (47-XX) 12 Special functions (33-XX) 11 Harmonic analysis on Euclidean spaces (42-XX) 9 Order, lattices, ordered algebraic structures (06-XX) 9 Ordinary differential equations (34-XX) 9 Difference and functional equations (39-XX) 8 Real functions (26-XX) 8 Convex and discrete geometry (52-XX) 7 Probability theory and stochastic processes (60-XX) 6 Computer science (68-XX) 5 Statistics (62-XX) 5 Statistical mechanics, structure of matter (82-XX) 5 Operations research, mathematical programming (90-XX) 5 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 4 Partial differential equations (35-XX) 4 Information and communication theory, circuits (94-XX) 3 Dynamical systems and ergodic theory (37-XX) 2 Field theory and polynomials (12-XX) 2 Approximations and expansions (41-XX) 2 Mechanics of particles and systems (70-XX) 2 Mechanics of deformable solids (74-XX) 2 Quantum theory (81-XX) 2 Systems theory; control (93-XX) 1 General and overarching topics; collections (00-XX) 1 Nonassociative rings and algebras (17-XX) 1 Group theory and generalizations (20-XX) 1 Functions of a complex variable (30-XX) 1 Potential theory (31-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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