Janusz Adamus: Publications

Articles Published or Submitted to Refereed Journals

Globally subanalytic arc-symmetric sets, preprint (arXiv:2305.13482v3) (2023).
On dominating pair degree conditions for hamiltonicity in balanced bipartite digraphs, Discrete Math. 344 (2021), no. 3, paper no. 112240, 10pp.
Equisingular algebraic approximation of real and complex analytic germs (with Aftab Patel), J. Singul. 20 (2020), 289--310.
On solutions of linear equations with polynomial coefficients (with Hadi Seyedinejad), Ann. Polon. Math. 121 (2018), 1--6.
A Meyniel-type condition for bipancyclicity in balanced bipartite digraphs, Graphs Combin. 34 (2018), 703--709.
Extensions of arc-analytic functions (with Hadi Seyedinejad), Math. Ann. 371 (2018), 685--693.
A proof of Kurdyka's conjecture on arc-analytic functions (with Hadi Seyedinejad), Math. Ann. 369 (2017), 387--395.
A degree sum condition for hamiltonicity in balanced bipartite digraphs, Graphs Combin. 33 (2017), 43--51.
Finite determinacy and stability of flatness of analytic mappings (with Hadi Seyedinejad), Canad. J. Math. 69 (2017), 241--257.
CR-continuation of arc-analytic maps, Proc. Amer. Math. Soc. 143 (2015), 4189--4198.
On Nash approximation of complex analytic sets in Runge domains (with Marcin Bilski), J. Math. Anal. Appl. 423 (2015), 229--242.
A fast flatness testing criterion in characteristic zero (with Hadi Seyedinejad), Proc. Amer. Math. Soc. 143 (2015), 2559--2570.
On the Meyniel condition for hamiltonicity in bipartite digraphs (with Lech Adamus and Anders Yeo), Discrete Math. Theor. Comput. Sci. 16:1 (2014), 293--302.
Flatness testing over singular bases (with Hadi Seyedinejad), Ann. Polon. Math. 107 (2013), 87--96.
Tameness of holomorphic closure dimension in a semialgebraic set (with Serge Randriambololona), Math. Ann. 355 (2013), 985--1005.
A degree condition for cycles of maximum length in bipartite digraphs (with Lech Adamus), Discrete Math. 312 (2012), 1117--1122.
An inductive analytic criterion for flatness (with Edward Bierstone and Pierre D. Milman), Proc. Amer. Math. Soc. 140 (2012), 3703--3713.
Tameness of complex dimension in a real analytic set (with Serge Randriambololona and Rasul Shafikov), Canad. J. Math. 65 (2013), 721--739.
Geometric Auslander criterion for openness of an algebraic morphism (with Edward Bierstone and Pierre D. Milman), Bull. London Math. Soc. 45 (2013), 1060--1064.
Effective regularity criteria for analytic mappings, Demonstratio Math. 43 (2010), 235--262.
Geometric Auslander criterion for flatness (with Edward Bierstone and Pierre D. Milman), Amer. J. Math. 135 (2013), no.1, 125--142.
Ore and Erdos type conditions for long cycles in balanced bipartite graphs (with Lech Adamus), Discrete Math. Theor. Comput. Sci. 11:2 (2009), 57--70.
Edge condition for hamiltonicity in balanced tripartite graphs, Opuscula Mathematica 29 (2009), 337--343.
On the holomorphic closure dimension of real analytic sets (with Rasul Shafikov), Trans. Amer. Math. Soc. 363 (2011), no.11, 5761--5772.
Uniform linear bound in Chevalley's lemma (with Edward Bierstone and Pierre D. Milman), Canad. J. Math. 60 (2008), 721--733.
Flatness testing and torsion freeness of analytic tensor powers, J. Algebra 289 (2005), 148--160.
Vertical components and flatness of Nash mappings, J. Pure Appl. Algebra 193 (2004), 1--9.
Vertical components in fibre powers of analytic spaces, J. Algebra 272 (2004), 394--403.
Generic fibre product of one-dimensional manifolds, Topology Appl. 128 (2003), 247--255.
Natural bound in Kwiecinski's criterion for flatness, Proc. Amer. Math. Soc. 130 (2002), 3165--3170.

Other Papers

On arc-analytic functions and arc-symmetric sets, CMS Notes 50 no.1 (2018), 14--15.
On finite determinacy of complete intersection singularities (with Aftab Patel), preprint (arXiv:1705.08985v2) (2017).
On the cycle structure of hamiltonian k-regular bipartite graphs of order 4k, electronic preprint (arXiv:0711.4426v3) (2007).
A note on a degree sum condition for long cycles in graphs, electronic preprint (arXiv:0711.4394) (2007).
Lecture notes: Topics in Complex Analytic Geometry I, revised and corrected version (2014).
Lecture notes: Topics in Complex Analytic Geometry II, revised and corrected version (2012).