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A combinatorial interpretation of double base number system and some consequences
1.  Center for Information Security and Cryptography, University of Calgary, 2500 University Drive NW, Calgary, AB T2N 1N4, Canada, Canada 
[1] 
David Auger, Irène Charon, Iiro Honkala, Olivier Hudry, Antoine Lobstein. Edge number, minimum degree, maximum independent set, radius and diameter in twinfree graphs. Advances in Mathematics of Communications, 2009, 3 (1) : 97114. doi: 10.3934/amc.2009.3.97 
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Roberto de A. Capistrano–Filho, Márcio Cavalcante, Fernando A. Gallego. Controllability for Schrödinger type system with mixed dispersion on compact star graphs. Evolution Equations and Control Theory, 2022 doi: 10.3934/eect.2022019 
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Litao Guo, Bernard L. S. Lin. Vulnerability of super connected split graphs and bisplit graphs. Discrete and Continuous Dynamical Systems  S, 2019, 12 (4&5) : 11791185. doi: 10.3934/dcdss.2019081 
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Srimathy Srinivasan, Andrew Thangaraj. Codes on planar Tanner graphs. Advances in Mathematics of Communications, 2012, 6 (2) : 131163. doi: 10.3934/amc.2012.6.131 
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Cristina M. Ballantine. Ramanujan type graphs and bigraphs. Conference Publications, 2003, 2003 (Special) : 7882. doi: 10.3934/proc.2003.2003.78 
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Daniele D'angeli, Alfredo Donno, Michel Matter, Tatiana Nagnibeda. Schreier graphs of the Basilica group. Journal of Modern Dynamics, 2010, 4 (1) : 167205. doi: 10.3934/jmd.2010.4.167 
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James B. Kennedy, Jonathan Rohleder. On the hot spots of quantum graphs. Communications on Pure and Applied Analysis, 2021, 20 (9) : 30293063. doi: 10.3934/cpaa.2021095 
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Yong Lin, Gábor Lippner, Dan Mangoubi, ShingTung Yau. Nodal geometry of graphs on surfaces. Discrete and Continuous Dynamical Systems, 2010, 28 (3) : 12911298. doi: 10.3934/dcds.2010.28.1291 
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Dina Ghinelli, Jennifer D. Key. Codes from incidence matrices and line graphs of Paley graphs. Advances in Mathematics of Communications, 2011, 5 (1) : 93108. doi: 10.3934/amc.2011.5.93 
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Wooyeon Kim, Seonhee Lim. Notes on the values of volume entropy of graphs. Discrete and Continuous Dynamical Systems, 2020, 40 (9) : 51175129. doi: 10.3934/dcds.2020221 
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Renato Iturriaga, Héctor Sánchez Morgado. The LaxOleinik semigroup on graphs. Networks and Heterogeneous Media, 2017, 12 (4) : 643662. doi: 10.3934/nhm.2017026 
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Thomas Zaslavsky. Quasigroup associativity and biased expansion graphs. Electronic Research Announcements, 2006, 12: 1318. 
[13] 
Deng Lu, Maria De Iorio, Ajay Jasra, Gary L. Rosner. Bayesian inference for latent chain graphs. Foundations of Data Science, 2020, 2 (1) : 3554. doi: 10.3934/fods.2020003 
[14] 
Leandro M. Del Pezzo, Nicolás Frevenza, Julio D. Rossi. Convex and quasiconvex functions in metric graphs. Networks and Heterogeneous Media, 2021, 16 (4) : 591607. doi: 10.3934/nhm.2021019 
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Delio Mugnolo, Abdelaziz Rhandi. Ornstein–Uhlenbeck semigroups on star graphs. Discrete and Continuous Dynamical Systems  S, 2022 doi: 10.3934/dcdss.2022030 
[16] 
Fabio Camilli, Adriano Festa, Silvia Tozza. A discrete Hughes model for pedestrian flow on graphs. Networks and Heterogeneous Media, 2017, 12 (1) : 93112. doi: 10.3934/nhm.2017004 
[17] 
Luca Schenato, Sandro Zampieri. On rendezvous control with randomly switching communication graphs. Networks and Heterogeneous Media, 2007, 2 (4) : 627646. doi: 10.3934/nhm.2007.2.627 
[18] 
Joachim von Below, José A. Lubary. Isospectral infinite graphs and networks and infinite eigenvalue multiplicities. Networks and Heterogeneous Media, 2009, 4 (3) : 453468. doi: 10.3934/nhm.2009.4.453 
[19] 
Braxton Osting, Jérôme Darbon, Stanley Osher. Statistical ranking using the $l^{1}$norm on graphs. Inverse Problems and Imaging, 2013, 7 (3) : 907926. doi: 10.3934/ipi.2013.7.907 
[20] 
Jeremias Epperlein, Stefan Siegmund. Phaselocked trajectories for dynamical systems on graphs. Discrete and Continuous Dynamical Systems  B, 2013, 18 (7) : 18271844. doi: 10.3934/dcdsb.2013.18.1827 
2021 Impact Factor: 1.015
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