The relationship between graph coloring and the immersion order is considered. Vertex connectivity, edge connectivity and related issues are explored. These lead to the conjecture...
Abstract— This paper addresses passivity-based output synchronization and a collision avoidance problem of rigid bodies in the Special Euclidean group SE(3) under the assumption ...
Abstract—Developing autonomous systems that patrol environments for detecting intruders is a topic of increasing relevance in security applications. An important aspect of these ...
In this paper, we introduce the generalized capacitated tree-routing problem (GCTR), which is described as follows. Given a connected graph G = (V, E) with a sink s V and a set M...
Abstract. Squaregraphs were originally defined as finite plane graphs in which all inner faces are quadrilaterals (i.e., 4-cycles) and all inner vertices (i.e., the vertices not in...