Spanning treesRouting in graphsDistancesAncestryk-chordal graphsTree-length λgraphsδ-Hyperbolic graphsLower boundsIn this paper, we investigate three strategies of how to use a spanning tree T of a graph G to navigate in G, i.e., to move from a current vertex x towards a destination ...
Key concepts to explore:Types of Graphs: Varying types based on connectivity or weights of nodes. Introduction to BFS and DFS: Algorithms for traversing through a graph. Cycles in a Graph: Series of connections leading to a loop. Topological Sorting in the Graph Minimum Spanning Tree in Graph...
In spanning tree, which was discussed above, was with no weights given for edges, but if any graph given with weight for edges can also be used for finding the spanning trees. There is a concept called the minimum spanning tree in which the graph with weighted edges is used for finding ...
From the connectivity graph, a minimum spanning tree is devised that summarizes both feature spatial relationships and feature data similarity. Features become nodes in the minimum spanning tree connected by weighted edges. The weight for each edge is proportional to the similarity of ...
It then uses the %s format specifier in a formatted string expression to turn n into a string, which it then assigns to con_n. Following the conversion, it outputs con_n's type and confirms that it is a string. This conversion technique turns the integer value n into a string ...
Many resources that help give some idea of northern lights activity exist on the Web. Here are two worth noting: UAF Geophysical Institute offers Alaska-based auroral display predictions both in a long and short-term context. Since many variables determine whether or not the aurora will be ...
Explain how to find the number of paths of given length in an undirected unweighted graph. Convert (1222)_3, to base 5, (N)_5, using only binary arithmetic. Convert (N)_2 to (N)_5. How to determine how many binary relations there are to a set?
as opposed to large scale yield and growth monitoring of crops in the field. We will not discuss the construction of virtual plant models where obtaining accurate or realistic 3D representations is a goal by itself. Nevertheless, many of the techniques used in that area can be applied for phen...
Power of $k$ choices and rainbow spanning trees in random graphs We consider the Erd\\H{o}s-R\\'enyi random graph process, which is a stochastic\nprocess that starts with $n$ vertices and no edges, and at each step adds one\nnew edge chosen uniformly at random from the set of miss...
In particular, we are interested in correlation of structural node properties (such as node degree) and the navigational quality of spanning trees that are rooted at those nodes. Our work sheds light on the ability of spanning trees to serve as a distance metric for decentralized navigation in ...