Publikationen des Lehrstuhl II für Mathematik

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Publications 2013
Solution of a conjecture of Vandell on decycling bipartite tournaments by deleting arcs  
A. Holtkamp, Lutz Volkmann
J. Combin. Math. Combin. Comput. 87 (2013), 3-19.
A note on the independent domination number in graphs  
N. Jafari Rad, Lutz Volkmann
Discrete Appl. Math. 161 (2013), 3087-3089.
Roman domination dot-critical graphs  
N. Jafari Rad, Lutz Volkmann
Graphs Combin. 29 (2013), 527--533.
Robust Network Design: Formulations, Valid Inequalities, and Computations  
Arie M.C.A. Koster, Manuel Kutschka, Christian Raack
Networks 61 (2013), no. 2, 128–-149.
Extended Cutset Inequalities for the Network Power Consumption Problem  
Arie M.C.A. Koster, Truong Khoa Phan, Martin Tieves
Electronic Notes in Discrete Mathematics 41 (2013), 69-76.
Maximally connected graphs  
Dirk Meierling, Lutz Volkmann
Topics in Structural Graph Theory (edited by L.W. Beineke and R. Wilson), Cambrige University Press (2013), 40-70.
A Lower Bound for the Complexity of Monotone Graph Properties  
Robert Scheidweiler, Eberhard Triesch
SIAM J. Discrete Math. 27 (2013), no. 1, 257--265.
Signed {k}-domatic numbers of graphs  
S.M. Sheikholeslami, Lutz Volkmann
J. Combin. Math. Combin. Comput. 87 (2013), 199-208.
Signed total distance k-domatic numbers of graphs  
S.M. Sheikholeslami, Lutz Volkmann
Mat. Vesnik (2013), no. 65, 387--393.
Bounds on the signed 2-independence number in graphs  
Lutz Volkmann
Discuss. Math. Graph Theory 33 (2013), 709-715.
Complementary cycles in almost regular multipartite tournaments, where one cycle has length four  
Lutz Volkmann
Discrete Appl. Math. 161 (2013), 2169-2177.
Signed total (j,k)-domatic numbers of graphs  
Lutz Volkmann
Australas. J. Combin. 57 (2013), 39--48.
Smallest regular and almost regular triangle-free graphs without perfect matchings  
Lutz Volkmann
Ars Combin. 111 (2013), 463--472.
Upper bounds on the signed (k,k)-domatic number  
Lutz Volkmann
Aequationes Math. 86 (2013), 279-287.
Signed k-domatic numbers of digraphs  
Lutz Volkmann, Hamideh Aram, M. Atapour, S.M. Sheikholeslami
Bull. Malays. Math. Sci. Soc. 36 (2013), no. 2, 143-150.
 
Publications 2012
Total alpha-domination in graphs  
Z. Alibeigi, N. Jafari Rad, Dirk Meierling, Lutz Volkmann
Bull. Inst. Combin. Appl. 66 (2012), 72--88.
On the total domatic number of regular graphs  
Hamideh Aram, S.M. Sheikholeslami, Lutz Volkmann
Transactions on Combinatorics 1 (2012), no. 1, 45-51.
The distance Roman domatic number of a graph  
Hamideh Aram, S.M. Sheikholeslami, Lutz Volkmann
AKCE Int. J. Graphs Comb. 9 (2012), no. 2, 205-212.
Upper signed k-domination number of directed graphs  
Hamideh Aram, Lutz Volkmann, S.M. Sheikholeslami
Acta Math. Univ. Comenianae 81 (2012), no. 1, 9-14.
A Note on Exact Algorithms for Vertex Ordering Problems on Graphs  
Hans L. Bodlaender, F.V. Fomin, Arie M.C.A. Koster, D. Kratsch, D.M. Thilikos
Theory of Computing Systems 50 (2012), no. 3, 420--432.

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