2024
Gallai-Ramsey Numbers for Paths.
Graphs Comb., December, 2024
Compatible Spanning Circuits and Forbidden Induced Subgraphs.
Graphs Comb., February, 2024
Complete bipartite graphs without small rainbow subgraphs.
Discret. Appl. Math., 2024
The proper 2-connection number of several graph classes.
Discret. Appl. Math., 2024
Graphs with large (1,2)-rainbow connection numbers.
Appl. Math. Comput., 2024
The conflict-free connection number and the minimum degree-sum of graphs.
Appl. Math. Comput., 2024
2023
Loose Edge-Connection of Graphs.
Graphs Comb., August, 2023
Gallai-Ramsey numbers for fans.
Discret. Math., May, 2023
2022
Gallai-Ramsey number for K 5 ${K}_{5}$.
J. Graph Theory, 2022
Ramsey and Gallai-Ramsey Number for Wheels.
Graphs Comb., 2022
The Conflict-Free Vertex-Connection Number and Degree Conditions of Graphs.
Graphs Comb., 2022
Forbidden induced subgraphs for perfectness of claw-free graphs of independence number at least 4.
Discret. Math., 2022
The proper 2-connection number and size of graphs.
Discret. Appl. Math., 2022
Homogeneous sets, clique-separators, critical graphs, and optimal χ-binding functions.
Discret. Appl. Math., 2022
2021
Conflict-Free Connection Number and Size of Graphs.
Graphs Comb., 2021
From Colourful to Rainbow Paths in Graphs: Colouring the Vertices.
Graphs Comb., 2021
Proper rainbow connection number of graphs.
Discuss. Math. Graph Theory, 2021
Conflict-free vertex connection number at most 3 and size of graphs.
Discuss. Math. Graph Theory, 2021
2020
Gallai-Ramsey number for K 4.
J. Graph Theory, 2020
Ramsey and Gallai-Ramsey numbers for stars with extra independent edges.
Discret. Appl. Math., 2020
2019
Polynomial χ -Binding Functions and Forbidden Induced Subgraphs: A Survey.
Graphs Comb., 2019
On forbidden induced subgraphs for K1, 3-free perfect graphs.
Discret. Math., 2019
Maximum independent sets near the upper bound.
Discret. Appl. Math., 2019
On the chromatic number of 2K2-free graphs.
Discret. Appl. Math., 2019
2018
Graphs with Conflict-Free Connection Number Two.
Graphs Comb., 2018
Odd connection and odd vertex-connection of graphs.
Discret. Math., 2018
On upper bounds for the independent transversal domination number.
Discret. Appl. Math., 2018
2017
Minimum Degree Conditions for the Proper Connection Number of Graphs.
Graphs Comb., 2017
On sequential heurestic methods for the maximum independent set problem.
Discuss. Math. Graph Theory, 2017
Local connectivity, local degree conditions, some forbidden induced subgraphs, and cycle extendability.
Discret. Math., 2017
Proper connection and size of graphs.
Discret. Math., 2017
2016
On Star-Wheel Ramsey Numbers.
Graphs Comb., 2016
On the Maximum Weight of a Sparse Connected Graph of Given Order and Size.
Graphs Comb., 2016
On the chromatic number of (P<sub>5</sub>, K<sub>2, t</sub>)-free graphs.
Electron. Notes Discret. Math., 2016
On the minimum degree and the proper connection number of graphs.
Electron. Notes Discret. Math., 2016
Proper connection number 2, connectivity, and forbidden subgraphs.
Electron. Notes Discret. Math., 2016
Dense arbitrarily partitionable graphs.
Discuss. Math. Graph Theory, 2016
Chromatic number of P<sub>5</sub>-free graphs: Reed's conjecture.
Discret. Math., 2016
On the maximum weight of a dense connected graph of given order and size.
Discret. Math., 2016
Characterizing forbidden pairs for rainbow connection in graphs with minimum degree 2.
Discret. Math., 2016
Kernelization of the 3-path vertex cover problem.
Discret. Math., 2016
Sufficient conditions for 2-rainbow connected graphs.
Discret. Appl. Math., 2016
A lower bound on the independence number of a graph in terms of degrees and local clique sizes.
Discret. Appl. Math., 2016
2015
Rainbow Numbers for Cycles in Plane Triangulations.
J. Graph Theory, 2015
Rainbow Numbers for Graphs Containing Small Cycles.
Graphs Comb., 2015
Hypohamiltonian Oriented Graphs of All Possible Orders.
Graphs Comb., 2015
The Maximum Independent Set Problem in Subclasses of S<sub>i, j, k</sub>-Free Graphs.
Electron. Notes Discret. Math., 2015
4-colorability of P<sub>6</sub>-free graphs.
Electron. Notes Discret. Math., 2015
Graphs with 4-rainbow index 3 and <i>n</i>-1.
Discuss. Math. Graph Theory, 2015
Graphs with 3-rainbow index <i>n</i>-1 and <i>n</i>-2.
Discuss. Math. Graph Theory, 2015
Extending the Max Algorithm for maximum independent set.
Discuss. Math. Graph Theory, 2015
New sufficient conditions for α-redundant vertices.
Discret. Math., 2015
Rainbow connection and forbidden subgraphs.
Discret. Math., 2015
On forbidden subgraphs and rainbow connection in graphs with minimum degree 2.
Discret. Math., 2015
The Maximum Independent Set Problem in Subclasses of Subcubic Graphs.
Discret. Math., 2015
2014
Rainbow numbers for matchings in plane triangulations.
Discret. Math., 2014
Rainbow connection in oriented graphs.
Discret. Appl. Math., 2014
2013
Rainbow connection number of dense graphs.
Discuss. Math. Graph Theory, 2013
Rainbow connection in sparse graphs.
Discuss. Math. Graph Theory, 2013
On maximum weight of a bipartite graph of given order and size.
Discuss. Math. Graph Theory, 2013
The rainbow connection number of 2-connected graphs.
Discret. Math., 2013
Rainbow connection and minimum degree.
Discret. Appl. Math., 2013
On minimally rainbow <i>k</i>-connected graphs.
Discret. Appl. Math., 2013
On the minimum rainbow subgraph number of a graph.
Ars Math. Contemp., 2013
2012
Closures, cycles, and paths.
J. Graph Theory, 2012
Dense Arbitrarily Vertex Decomposable Graphs.
Graphs Comb., 2012
Improved degree conditions for Hamiltonian properties.
Discret. Math., 2012
A Dirac theorem for trestles.
Discret. Math., 2012
2011
On computing the minimum 3-path vertex cover and dissociation number of graphs.
Theor. Comput. Sci., 2011
Improved approximation bounds for the minimum rainbow subgraph problem.
Inf. Process. Lett., 2011
Algorithmic approaches for the minimum rainbow subgraph problem.
Electron. Notes Discret. Math., 2011
Bounds for the rainbow connection number of graphs.
Discuss. Math. Graph Theory, 2011
Graphs with rainbow connection number two.
Discuss. Math. Graph Theory, 2011
Closure for spanning trees and distant area.
Discuss. Math. Graph Theory, 2011
A New Bound on the Domination Number of Graphs with Minimum Degree Two.
Electron. J. Comb., 2011
A pair of forbidden subgraphs and perfect matchings in graphs of high connectivity.
Comb., 2011
2010
Cycle length parities and the chromatic number.
J. Graph Theory, 2010
Structural Properties and Hamiltonicity of Neighborhood Graphs.
Graphs Comb., 2010
Some results on Reed's Conjecture about omega, Delta, and chi with respect to alpha.
Discret. Math., 2010
Packing disjoint cycles over vertex cuts.
Discret. Math., 2010
Approximation algorithms for the minimum rainbow subgraph problem.
Discret. Math., 2010
On maximum independent sets in P<sub>5</sub>-free graphs.
Discret. Appl. Math., 2010
Random Procedures for Dominating Sets in Graphs.
Electron. J. Comb., 2010
Progress on Rainbow Connection.
Proceedings of the 9th Cologne-Twente Workshop on Graphs and Combinatorial Optimization, 2010
2009
On <i> F</i>-independence in graphs.
Discuss. Math. Graph Theory, 2009
On the circumference of a graph and its complement.
Discret. Math., 2009
Colourings of graphs with two consecutive odd cycle lengths.
Discret. Math., 2009
A Rainbow k-Matching in the Complete Graph with r Colors.
Electron. J. Comb., 2009
Rainbow Connection in Graphs with Minimum Degree Three.
Proceedings of the Combinatorial Algorithms, 20th International Workshop, 2009
2008
The independence number in graphs of maximum degree three.
Discret. Math., 2008
Efficiency in exponential time for domination-type problems.
Discret. Appl. Math., 2008
2007
On the complexity of 4-coloring graphs without long induced paths.
Theor. Comput. Sci., 2007
Rainbows in the Hypercube.
Graphs Comb., 2007
New sufficient conditions for hamiltonian and pancyclic graphs.
Discuss. Math. Graph Theory, 2007
A new upper bound for the chromatic number of a graph.
Discuss. Math. Graph Theory, 2007
Chvátal Erdós condition and 2-factors with a specyfied number of components.
Discuss. Math. Graph Theory, 2007
Degree conditions for hamiltonicity: Counting the number of missing edges.
Discret. Math., 2007
Independence number and vertex-disjoint cycles.
Discret. Math., 2007
2006
Extremal Problems for Imbalanced Edges.
Graphs Comb., 2006
Upper bounds for the chromatic number of a graph.
Electron. Notes Discret. Math., 2006
A lower bound on the independence number of a graph in terms of degrees.
Discuss. Math. Graph Theory, 2006
Chvátal-Erdös condition and pancyclism.
Discuss. Math. Graph Theory, 2006
2005
The Cycle-Complete Graph Ramsey Number r<i>(C<sub>5</sub>, K<sub>7</sub>)</i>.
Discuss. Math. Graph Theory, 2005
An Asymptotic Result for the Path Partition Conjecture.
Electron. J. Comb., 2005
Ramsey (K<sub>1,2</sub>,K<sub>3</sub>)-Minimal Graphs.
Electron. J. Comb., 2005
2004
Vertex Colouring and Forbidden Subgraphs - A Survey.
Graphs Comb., 2004
Rainbow numbers for matchings and complete graphs.
Discret. Math., 2004
Cycle lengths and chromatic number of graphs.
Discret. Math., 2004
3-Colorability in P for P<sub>6</sub>-free graphs.
Discret. Appl. Math., 2004
2003
All cycle-complete graph Ramsey numbers <i>r</i>(<i>C<sub>m</sub></i>, <i>K</i><sub>6</sub>).
J. Graph Theory, 2003
Degree conditions for <i>k</i>-ordered hamiltonian graphs.
J. Graph Theory, 2003
Two-factors each component of which contains a specified vertex.
J. Graph Theory, 2003
0-Dual Closures for Several Classes of Graphs.
Graphs Comb., 2003
The Ramsey number r(C<sub>7</sub>, C<sub>7</sub>, C<sub>7</sub>).
Discuss. Math. Graph Theory, 2003
2002
Longest Paths and Longest Cycles in Graphs with Large Degree Sums.
Graphs Comb., 2002
Discuss. Math. Graph Theory, 2002
Three-colourability and forbidden subgraphs. II: polynomial algorithms.
Discret. Math., 2002
Forbidden subgraphs implying the MIN-algorithm gives a maximum independent set.
Discret. Math., 2002
Discret. Appl. Math., 2002
A note on Brooks' theorem for triangle-free graphs.
Australas. J Comb., 2002
2001
On weights of induced paths and cycles in claw-free and <i>K</i><sub>1</sub><sub><i>, r</i></sub>-free graphs.
J. Graph Theory, 2001
3-Colorability element oF P for p<sub>6</sub>-free Graphs.
Electron. Notes Discret. Math., 2001
On the stability for pancyclicity.
Discuss. Math. Graph Theory, 2001
Colouring Graphs with Prescribed Induced Cycle Lengths.
Discuss. Math. Graph Theory, 2001
On the independence number of a graph in terms of order and size.
Discret. Math., 2001
On a Max-min Problem Concerning Weights of Edges.
Comb., 2001
2000
Closure Concepts: A Survey.
Graphs Comb., 2000
On-line rankings of graphs.
Discret. Math., 2000
1999
3-colored Ramsey Numbers of Odd Cycles.
Electron. Notes Discret. Math., 1999
On quadrilaterals in a graph.
Discret. Math., 1999
Forbidden subgraphs, stability and hamiltonicity.
Discret. Math., 1999
Linear und exponentiell wachsende Kaninchenpopulationen.
Proceedings of the Angewandte Mathematik, 1999
1998
Ramsey numbers r(K<sub>3</sub>, G) for G =~ K<sub>7</sub> - 2P<sub>2</sub> and G =~ K<sub>7</sub> - 3P<sub>2</sub>.
Discret. Math., 1998
2-factors and hamiltonicity.
Discret. Math., 1998
A planarity criterion for cubic bipartite graphs.
Discret. Math., 1998
Approximating Maximum Independent Set in <i>k</i>-Clique-Free Graphs.
Proceedings of the Approximation Algorithms for Combinatorial Optimization, 1998
1997
On the computational complexity of (O, P)-partition problems.
Discuss. Math. Graph Theory, 1997
Dirac's minimum degree condition restricted to claws.
Discret. Math., 1997
Small Cycles in Hamiltonian Graphs.
Discret. Appl. Math., 1997
Ramsey Numbers r(K<sub>3</sub>, G) for Connected Graphs G of Order Seven.
Discret. Appl. Math., 1997
Local connectivity and cycle xtension in claw-free graphs.
Ars Comb., 1997
1996
Toughness and hamiltonicity in almost claw-free graphs.
J. Graph Theory, 1996
1995
Insertible vertices, neighborhood intersections, and hamiltonicity.
J. Graph Theory, 1995
Problems remaining NP-complette for sparse or dense graphs.
Discuss. Math. Graph Theory, 1995
The flower conjecture in special classes of graphs.
Discuss. Math. Graph Theory, 1995
On the independence number in K<sub>1, r+1</sub>-free graphs.
Discret. Math., 1995
An Approximation Algorithm for 3-Colourability.
Proceedings of the Graph-Theoretic Concepts in Computer Science, 1995
1994
SIAM J. Discret. Math., 1994
The k-Satisfiability problem remains NP-complete for dense families.
Discret. Math., 1994
A closure concept based on neighborhood unions of independent triples.
Discret. Math., 1994
Subgraphs, Closures and Hamiltonicity.
Discret. Appl. Math., 1994
Reverse-Fit: A 2-Optimal Algorithm for Packing Rectangles.
Proceedings of the Algorithms, 1994
1993
Computation of the 0-dual closure for hamiltonian graphs.
Discret. Math., 1993
Deciding 3-Colourability in Less Than O(1.415^n) Steps.
Proceedings of the Graph-Theoretic Concepts in Computer Science, 1993
1992
Solving 3-Satisfiability in Less Then 1, 579<sup>n</sup> Steps.
Proceedings of the Computer Science Logic, 6th Workshop, 1992
1989
A Fast Sequential and Parallel Algorithm for the Computation of the k-Closure of a Graph.
Proceedings of the Graph-Theoretic Concepts in Computer Science, 1989
1988
Algorithmen zum Auffinden längster Kreise in Graphen.
PhD thesis, 1988