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## Merino, Criel

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 Author ID: merino.criel Published as: Merino, C.; Merino, Criel External Links: MGP
 Documents Indexed: 31 Publications since 1999
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#### Co-Authors

 3 single-authored 7 Urrutia Galicia, Jorge L. 6 Noble, Steven Derek 4 Noy, Marc 4 Ramírez-Ibáñez, Marcelino 4 Salazar, Gelasio 3 de Mier, Anna 2 Chun, Carolyn 2 Ellis-Monaghan, Joanna A. 2 Goodall, Andrew J. 2 Hall, Rhiannon 2 Hurtado, Ferran 2 Leanos, Jesus 1 Akiyama, Jin 1 Calkin, Neil J. 1 Chávez Lomelí, Laura E. 1 Conde, Rodolfo 1 Glass, Darren B. 1 Guadalupe Rodríguez, M. 1 Ibañez, Marcelino 1 Kano, Mikio 1 Llamas, Aurora 1 Lomelí, Mario 1 Martínez-Bernal, José 1 Moffatt, Iain 1 Montellano-Ballesteros, Juan José 1 Olivera, Beatriz Carely Luna 1 Oliveros, Deborah 1 Rodríguez Sánchez, Guadalupe 1 Sakai, Toshinori 1 Ventura, Inmaculada 1 Villarroel-Flores, Rafael
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#### Serials

 4 European Journal of Combinatorics 3 Discrete Mathematics 3 Graphs and Combinatorics 2 The Electronic Journal of Combinatorics 1 Communications in Algebra 1 Information Processing Letters 1 Journal of Combinatorial Theory. Series B 1 Discrete & Computational Geometry 1 The Australasian Journal of Combinatorics 1 Combinatorics, Probability and Computing 1 Annals of Combinatorics 1 AKCE International Journal of Graphs and Combinatorics 1 International Journal of Mathematical Combinatorics 1 International Journal of Combinatorics
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#### Fields

 25 Combinatorics (05-XX) 7 Convex and discrete geometry (52-XX) 4 Computer science (68-XX) 2 Commutative algebra (13-XX) 1 Field theory and polynomials (12-XX) 1 Geometry (51-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)

#### Citations contained in zbMATH

26 Publications have been cited 223 times in 164 Documents Cited by Year
Graph polynomials and their applications. I: The Tutte polynomial. Zbl 1221.05002
Ellis-Monaghan, Joanna A.; Merino, Criel
2011
The Potts model and the Tutte polynomial. Zbl 1045.82501
Welsh, D. J. A.; Merino, C.
2000
The chip-firing game. Zbl 1139.91314
Merino, Criel
2005
The chip firing game and matroid complexes. Zbl 0998.05010
Merino, Criel
2001
Forests, colorings and acyclic orientations of the square lattice. Zbl 0936.05043
Merino, C.; Welsh, D. J. A.
1999
Graph polynomials and their applications. II: Interrelations and interpretations. Zbl 1221.05003
Ellis-Monaghan, Joanna A.; Merino, Criel
2011
Improved bounds for the number of forests and acyclic orientations in the square lattice. Zbl 1020.05041
Calkin, N.; Merino, C.; Noble, S.; Noy, M.
2003
On the structure of the $$h$$-vector of a paving matroid. Zbl 1248.05033
Merino, Criel; Noble, Steven D.; Ramírez-Ibáñez, Marcelino; Villarroel-Flores, Rafael
2012
Irreducibility of the Tutte polynomial of a connected matroid. Zbl 1028.05023
Merino, C.; de Mier, A.; Noy, M.
2001
The equivalence of two graph polynomials and a symmetric function. Zbl 1194.05060
Merino, Criel; Noble, Steven D.
2009
On plane spanning trees and cycles of multicolored point sets with few intersections. Zbl 1173.68606
Kano, M.; Merino, C.; Urrutia, J.
2005
Critical groups of graphs with dihedral actions. Zbl 1284.05124
Glass, Darren B.; Merino, Criel
2014
On the length of longest alternating paths for multicoloured point sets in convex position. Zbl 1101.05033
Merino, C.; Salazar, G.; Urrutia, J.
2006
On the number of tilings of the rectangular board with T-tetrominoes. Zbl 1154.05018
Merino, Criel
2008
On the evaluation of the Tutte polynomial at the points $$(1, -1)$$ and $$(2, -1)$$. Zbl 1270.05060
Goodall, A. J.; Merino, C.; de Mier, A.; Noy, M.
2013
Some inequalities for the Tutte polynomial. Zbl 1290.05055
Chávez-Lomelí, Laura E.; Merino, Criel; Noble, Steven D.; Ramírez-Ibáñez, Marcelino
2011
A note on some inequalities for the Tutte polynomial of a matroid. Zbl 1273.05032
Merino, Criel; Ibañez, Marcelino; Guadalupe Rodríguez, M.
2009
Comparing the number of acyclic and totally cyclic orientations with that of spanning trees of a graph. Zbl 1198.05015
Conde, Rodolfo; Merino, Criel
2009
Spanning trees of multicoloured point sets with few intersections. Zbl 1117.68075
Leaños, J.; Merino, C.; Salazar, G.; Urrutia, J.
2005
On the intersection number of matchings and minimum weight perfect matchings of multicolored point sets. Zbl 1075.05076
Merino, Criel; Salazar, Gelasio; Urrutia, Jorge
2005
The number of 0-1-2 increasing trees as two different evaluations of the Tutte polynomial of a complete graph. Zbl 1159.05005
Merino, C.
2008
The Tutte polynomial of some matroids. Zbl 1267.05145
Merino, Criel; Ramírez-Ibáñez, Marcelino; Rodríguez-Sánchez, Guadalupe
2012
On the broken-circuit complex of graphs. Zbl 1203.13025
Llamas, Aurora; Martínez-Bernal, José; Merino, Criel
2010
On polygons enclosing point sets. II. Zbl 1182.52003
Hurtado, F.; Merino, C.; Oliveros, D.; Sakai, T.; Urrutia, J.; Ventura, I.
2009
Simple Euclidean arrangements with no $$(\geq 5)$$-gons. Zbl 1132.52026
Leanos, Jesus; Lomeli, Mario; Merino, Criel; Salazar, Gelasio; Urrutia, Jorge
2007
A problem on hinged dissections with colours. Zbl 1065.52012
Akiyama, J.; Hurtado, F.; Merino, C.; Urrutia, J.
2004
Critical groups of graphs with dihedral actions. Zbl 1284.05124
Glass, Darren B.; Merino, Criel
2014
On the evaluation of the Tutte polynomial at the points $$(1, -1)$$ and $$(2, -1)$$. Zbl 1270.05060
Goodall, A. J.; Merino, C.; de Mier, A.; Noy, M.
2013
On the structure of the $$h$$-vector of a paving matroid. Zbl 1248.05033
Merino, Criel; Noble, Steven D.; Ramírez-Ibáñez, Marcelino; Villarroel-Flores, Rafael
2012
The Tutte polynomial of some matroids. Zbl 1267.05145
Merino, Criel; Ramírez-Ibáñez, Marcelino; Rodríguez-Sánchez, Guadalupe
2012
Graph polynomials and their applications. I: The Tutte polynomial. Zbl 1221.05002
Ellis-Monaghan, Joanna A.; Merino, Criel
2011
Graph polynomials and their applications. II: Interrelations and interpretations. Zbl 1221.05003
Ellis-Monaghan, Joanna A.; Merino, Criel
2011
Some inequalities for the Tutte polynomial. Zbl 1290.05055
Chávez-Lomelí, Laura E.; Merino, Criel; Noble, Steven D.; Ramírez-Ibáñez, Marcelino
2011
On the broken-circuit complex of graphs. Zbl 1203.13025
Llamas, Aurora; Martínez-Bernal, José; Merino, Criel
2010
The equivalence of two graph polynomials and a symmetric function. Zbl 1194.05060
Merino, Criel; Noble, Steven D.
2009
A note on some inequalities for the Tutte polynomial of a matroid. Zbl 1273.05032
Merino, Criel; Ibañez, Marcelino; Guadalupe Rodríguez, M.
2009
Comparing the number of acyclic and totally cyclic orientations with that of spanning trees of a graph. Zbl 1198.05015
Conde, Rodolfo; Merino, Criel
2009
On polygons enclosing point sets. II. Zbl 1182.52003
Hurtado, F.; Merino, C.; Oliveros, D.; Sakai, T.; Urrutia, J.; Ventura, I.
2009
On the number of tilings of the rectangular board with T-tetrominoes. Zbl 1154.05018
Merino, Criel
2008
The number of 0-1-2 increasing trees as two different evaluations of the Tutte polynomial of a complete graph. Zbl 1159.05005
Merino, C.
2008
Simple Euclidean arrangements with no $$(\geq 5)$$-gons. Zbl 1132.52026
Leanos, Jesus; Lomeli, Mario; Merino, Criel; Salazar, Gelasio; Urrutia, Jorge
2007
On the length of longest alternating paths for multicoloured point sets in convex position. Zbl 1101.05033
Merino, C.; Salazar, G.; Urrutia, J.
2006
The chip-firing game. Zbl 1139.91314
Merino, Criel
2005
On plane spanning trees and cycles of multicolored point sets with few intersections. Zbl 1173.68606
Kano, M.; Merino, C.; Urrutia, J.
2005
Spanning trees of multicoloured point sets with few intersections. Zbl 1117.68075
Leaños, J.; Merino, C.; Salazar, G.; Urrutia, J.
2005
On the intersection number of matchings and minimum weight perfect matchings of multicolored point sets. Zbl 1075.05076
Merino, Criel; Salazar, Gelasio; Urrutia, Jorge
2005
A problem on hinged dissections with colours. Zbl 1065.52012
Akiyama, J.; Hurtado, F.; Merino, C.; Urrutia, J.
2004
Improved bounds for the number of forests and acyclic orientations in the square lattice. Zbl 1020.05041
Calkin, N.; Merino, C.; Noble, S.; Noy, M.
2003
The chip firing game and matroid complexes. Zbl 0998.05010
Merino, Criel
2001
Irreducibility of the Tutte polynomial of a connected matroid. Zbl 1028.05023
Merino, C.; de Mier, A.; Noy, M.
2001
The Potts model and the Tutte polynomial. Zbl 1045.82501
Welsh, D. J. A.; Merino, C.
2000
Forests, colorings and acyclic orientations of the square lattice. Zbl 0936.05043
Merino, C.; Welsh, D. J. A.
1999
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#### Cited by 294 Authors

 10 Alfaro Montúfar, Carlos Alejandro 10 Merino, Criel 6 Noble, Steven Derek 6 Noy, Marc 6 Urrutia Galicia, Jorge L. 5 de Mier, Anna 5 Dehmer, Matthias 5 Valencia, Carlos E. 4 Ellis-Monaghan, Joanna A. 4 Goodall, Andrew J. 4 Hou, Yaoping 4 Jin, Xian’an 4 Makowsky, Johann-Andreas 4 Moffatt, Iain 4 Ramírez-Ibáñez, Marcelino 4 Ravve, Elena V. 4 Shi, Yongtang 3 Aziz, Haris 3 Bernardi, Olivier 3 Bousquet-Mélou, Mireille 3 Chen, Zengqiang 3 Emmert-Streib, Frank 3 Gaspers, Serge 3 Gijswijt, Dion C. 3 Glass, Darren B. 3 Gong, Helin 3 Hopkins, Samuel Francis 3 Kayibi, Koko Kalambay 3 Krajewski, Thomas 3 Liao, Yunhua 3 Mattei, Nicholas 3 Mowshowitz, Abbe 3 Pirzada, Shariefuddin 3 Prałat, Paweł 3 Shrock, Robert E. 2 Aiello, Valeriano 2 Aziz-Alaoui, Moulay-Ahmed 2 Backman, Spencer 2 Biró, Peter 2 Boyle, Bernadette 2 Brimkov, Boris 2 Brown, Jason Ira 2 Chang, Shu-Chiuan 2 Chen, Haiyan 2 Conti, Roberto 2 de Haan, Ronald 2 Dong, Fengming 2 Huemer, Clemens 2 Kano, Mikio 2 Klee, Steven 2 Klivans, Caroline J. 2 Kotek, Tomer 2 Lenz, Matthias 2 Nakamigawa, Tomoki 2 Nowakowski, Richard J. 2 Rastegari, Baharak 2 Regts, Guus 2 Sakuma, Tadashi 2 Samper, José Alejandro 2 Schrijver, Alexander 2 Sokal, Alan D. 2 Tanasă, Adrian 2 Tóth, Géza 2 Traldi, Lorenzo 2 Tripathi, Shailesh 2 Zanello, Fabrizio 2 Zhang, Fuji 2 Zhang, Lianzhu 1 Abu-Affash, A. Karim 1 Aichholzer, Oswin 1 Akiyama, Jin 1 Aliste-Prieto, José 1 Aurenhammer, Franz 1 Austin, Demara 1 Awan, Jordan 1 Azarija, Jernej 1 Baker, Matthew H. 1 Bansal, Nikhil 1 Bárány, Imre 1 Barrera, Javiera 1 Barrus, Michael D. 1 Beaudin, Laura 1 Benkart, Georgia M. 1 Berikkyzy, Zhanar 1 Bhore, Sujoy Kumar 1 Blanchard, Nicolas K. 1 Bohn, Adam 1 Boij, Mats 1 Bonin, Joseph E. 1 Bordewich, Magnus 1 Borowiecki, Piotr 1 Boyer, Kirk 1 Brijder, Robert 1 Burman, Yurii 1 Butler, Steven Kay 1 Cameron, Peter Jephson 1 Canfora, Fabrizio 1 Carmi, Paz 1 Chambers, Megan 1 Chan, Wai-hong ...and 194 more Authors
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#### Cited in 61 Serials

 17 European Journal of Combinatorics 12 Discrete Mathematics 10 Discrete Applied Mathematics 8 Journal of Statistical Physics 8 Advances in Applied Mathematics 8 Graphs and Combinatorics 7 Applied Mathematics and Computation 5 Theoretical Computer Science 4 Journal of Combinatorial Theory. Series A 4 Linear Algebra and its Applications 3 Advances in Mathematics 3 Journal of Combinatorial Theory. Series B 3 Journal of Algebraic Combinatorics 3 Combinatorics, Probability and Computing 3 Journal of Mathematical Chemistry 2 Information Processing Letters 2 Journal of Mathematical Physics 2 Physica A 2 Information Sciences 2 Combinatorica 2 Journal of Knot Theory and its Ramifications 2 The Electronic Journal of Combinatorics 2 Annals of Combinatorics 2 Algebraic Combinatorics 1 Advances in Applied Probability 1 American Mathematical Monthly 1 Artificial Intelligence 1 Communications in Mathematical Physics 1 Computer Physics Communications 1 Linear and Multilinear Algebra 1 Rocky Mountain Journal of Mathematics 1 Bulletin of the London Mathematical Society 1 Illinois Journal of Mathematics 1 Journal of Algebra 1 Mathematische Zeitschrift 1 Memoirs of the American Mathematical Society 1 Transactions of the American Mathematical Society 1 Annals of Pure and Applied Logic 1 Algorithmica 1 Discrete & Computational Geometry 1 Annals of Operations Research 1 Computational Geometry 1 Indagationes Mathematicae. New Series 1 The Australasian Journal of Combinatorics 1 Turkish Journal of Mathematics 1 Séminaire Lotharingien de Combinatoire 1 Acta Mathematica Sinica. English Series 1 Annales Henri Poincaré 1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 1 Journal of Discrete Algorithms 1 AKCE International Journal of Graphs and Combinatorics 1 Discrete Optimization 1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 1 Complex Analysis and Operator Theory 1 Journal of Noncommutative Geometry 1 Asian-European Journal of Mathematics 1 International Journal of Combinatorics 1 Journal of Applied Mathematics & Informatics 1 Annales de l’Institut Henri Poincaré D. Combinatorics, Physics and their Interactions (AIHPD) 1 Special Matrices 1 Research in the Mathematical Sciences
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#### Cited in 30 Fields

 143 Combinatorics (05-XX) 19 Computer science (68-XX) 16 Convex and discrete geometry (52-XX) 15 Statistical mechanics, structure of matter (82-XX) 11 Commutative algebra (13-XX) 9 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 7 Manifolds and cell complexes (57-XX) 5 Algebraic geometry (14-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 4 Probability theory and stochastic processes (60-XX) 4 Quantum theory (81-XX) 3 Mathematical logic and foundations (03-XX) 3 Order, lattices, ordered algebraic structures (06-XX) 3 Numerical analysis (65-XX) 3 Operations research, mathematical programming (90-XX) 3 Biology and other natural sciences (92-XX) 2 History and biography (01-XX) 2 Number theory (11-XX) 2 Associative rings and algebras (16-XX) 2 Abstract harmonic analysis (43-XX) 2 Statistics (62-XX) 1 General and overarching topics; collections (00-XX) 1 Field theory and polynomials (12-XX) 1 Nonassociative rings and algebras (17-XX) 1 Group theory and generalizations (20-XX) 1 Measure and integration (28-XX) 1 Special functions (33-XX) 1 Approximations and expansions (41-XX) 1 Operator theory (47-XX) 1 Differential geometry (53-XX)