5 papers
On the Spanning Ratio of the Greedy Triangulation for Convex Point Sets
Prosenjit Bose, Jean Lou de Carufel, Anil Maheshwari +3
The greedy triangulation of a finite planar point set is obtained by considering all segments in nondecreasing order of length and inserting each segment that does not cross an ear…
3-packings in Triangulations: Algorithms, bounds, and Complexity
Prosenjit Bose, Anil Maheshwari, Bobby Miraftab +1
We study -packings in plane triangulations for the three-vertex graphs . For a graph , let denote the maximum size of an -packing in…
Noncrossing Longest Paths and Cycles
Greg Aloupis, Ahmad Biniaz, Prosenjit Bose +7
Edge crossings in geometric graphs are sometimes undesirable as they could lead to unwanted situations such as collisions in motion planning and inconsistency in VLSI layout. Short…
On Separating Path and Tree Systems in Graphs
Ahmad Biniaz, Prosenjit Bose, Jean-Lou De Carufel +6
We explore the concept of separating systems of vertex sets of graphs. A separating system of a set is a collection of subsets of such that for any pair of distinct element…
The basis number of 1-planar graphs
Saman Bazargani, Therese Biedl, Prosenjit Bose +2
Let be a set of Eulerian subgraphs of a graph . We say forms a -basis if it is a minimum set that generates the cycle space of , and any edge of lies in at mos…