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In this thesis we focus our attention on the stable set polytope of claw-free graphs. This problem has been open for many years and albeit all the efforts engaged during those last three years, it is still open. This does not mean that no progress has been ...
In this paper, we present an algorithm for finding all common bases in two matroids. Our algorithm lists all common bases by using pivot operations in such a way that each basis appears exactly once. The time complexity of the algorithm is O(n(n^2+t)§) whe ...
This paper describes an algorithm for finding all the perfect matchings in a bipartite graph. By using the binary partitioning method, our algorithm requires O(c(n+m)+n^2.5) computational effort and O(nm) memmory storage, (where n denotes the number of ver ...
Graph theory experienced a remarkable increase of interest among the scientific community during the last decades. The vertex coloring problem (Min Coloring) deserves a particular attention rince it has been able to capture a wide variety of applications. ...
Polar graphs are a natural extension of some classes of graphs like bipartite graphs, split graphs and complements of bipartite graphs. A graph is (s,k)-polar if there exists a partition A,B of its vertex set such that A induces a complete s-partite graph ...
We consider the problem of finding in a graph a set R of edges to be colored in red so that there are maximum matchings having some prescribed numbers of red edges. For regular bipartite graphs with n nodes on each side, we give sufficient conditions f ...
We tested whether motion and configural complexity affect perceived transparency. A series of five coherent chromatic transformations in color space was applied across a figure: translation, convergence, shear, divergence and rotation. The stimuli consiste ...
In this paper we show that the topologies of most logarithmic-style P2P systems like Pastry, Tapestry or P-Grid resemble small-world graphs. Inspired by Kleinberg’s small-world model [6] we extend the model of building “routing-efficient” small-world graph ...
The mechanisms by which the brain represents colors are largely unknown. In addition, the large number of color phenomena in the natural world has made understanding color rather difficult. Color transparency perception, which is studied in this thesis, is ...
Randomized stopping points form a convex set associated with the information structure that arises in the context of the optimal stopping problem for two-parameter processes. We study combinatorial properties of this structure when the underlying space is ...
