The Lattice Paths of Combinatorics have been used in many applications, normally under the guise of a different name, due to its versatility in surface variety and specificity of answer. The Lattice Path’s of game development, in finding paths around barriers in mazes, is called Path Finder with the A∗ algorithms as its method of solving
Abstract. In this paper, we will consider certain lattice paths in the two-dimensional space R2, sat...
AbstractThis note generalizes André's reflection principle to give a new combinatorial proof of a fo...
Recent methods used in lattice path combinatorics and various related branches of enumerative combin...
Many famous families of integers can be represented by the number of paths through a lattice given v...
Many famous families of integers can be represented by the number of paths through a lattice given v...
AbstractThis paper develops a unified enumerative and asymptotic theory of directed two-dimensional ...
A dissertation submitted to the Faculty of Science, University of the Witwatersrand, Johannesburg in...
AbstractIn this paper, restricted minimal lattice paths with horizontal, vertical, and diagonal step...
International audienceWe analyze some enumerative and asymptotic properties of Dyck paths under a li...
A dissertation submitted to the Faculty of Science, University of the Witwatersrand, Johannesburg, i...
AbstractWe count lattice paths that are confined to the first quadrant by the nature of their step v...
AbstractIn this paper, restricted minimal lattice paths with horizontal, vertical, and diagonal step...
AbstractWe use some combinatorial methods to study underdiagonal paths (on the Z2 lattice) made up o...
© 2012 Dr. Paul W. T. FijnThis thesis primarily examines several problems in enumerative combinatori...
AbstractA lattice path is a path on lattice points (points with integer coordinates) in the plane in...
Abstract. In this paper, we will consider certain lattice paths in the two-dimensional space R2, sat...
AbstractThis note generalizes André's reflection principle to give a new combinatorial proof of a fo...
Recent methods used in lattice path combinatorics and various related branches of enumerative combin...
Many famous families of integers can be represented by the number of paths through a lattice given v...
Many famous families of integers can be represented by the number of paths through a lattice given v...
AbstractThis paper develops a unified enumerative and asymptotic theory of directed two-dimensional ...
A dissertation submitted to the Faculty of Science, University of the Witwatersrand, Johannesburg in...
AbstractIn this paper, restricted minimal lattice paths with horizontal, vertical, and diagonal step...
International audienceWe analyze some enumerative and asymptotic properties of Dyck paths under a li...
A dissertation submitted to the Faculty of Science, University of the Witwatersrand, Johannesburg, i...
AbstractWe count lattice paths that are confined to the first quadrant by the nature of their step v...
AbstractIn this paper, restricted minimal lattice paths with horizontal, vertical, and diagonal step...
AbstractWe use some combinatorial methods to study underdiagonal paths (on the Z2 lattice) made up o...
© 2012 Dr. Paul W. T. FijnThis thesis primarily examines several problems in enumerative combinatori...
AbstractA lattice path is a path on lattice points (points with integer coordinates) in the plane in...
Abstract. In this paper, we will consider certain lattice paths in the two-dimensional space R2, sat...
AbstractThis note generalizes André's reflection principle to give a new combinatorial proof of a fo...
Recent methods used in lattice path combinatorics and various related branches of enumerative combin...