Search results
Results From The WOW.Com Content Network
Several variants are equivalent to important graph parameters. Specifically, finding the number of pursuers necessary to capture a single evader with infinite velocity in a graph G (when pursuers and evader are not constrained to move turn by turn, but move simultaneously) is equivalent to finding the treewidth of G, and a winning strategy for the evader may be described in terms of a haven in G.
Turn-by-turn systems typically use an electronic voice to inform the user whether to turn left or right, the street name, and the distance to the next turn. [ 3 ] Mathematically, turn by turn navigation is based on the shortest path problem within graph theory , which examines how to identify the path that best meets some criteria (shortest ...
2-colour case proof without words. Due to the pigeonhole principle, there are at least 3 edges of the same colour (dashed purple) from an arbitrary vertex v.Calling 3 of the vertices terminating these edges r, s and t, if the edge rs, st or tr (solid black) had this colour, it would complete the triangle with v.
Download as PDF; Printable version; ... graph theory is the study of ... For example, graph-based methods are often used to 'cluster' cells together into cell-types ...
In geometry, the term Dubins path typically refers to the shortest curve that connects two points in the two-dimensional Euclidean plane (i.e. x-y plane) with a constraint on the curvature of the path and with prescribed initial and terminal tangents to the path, and an assumption that the vehicle traveling the path can only travel forward.
A simple approximation to perfect Ackermann steering geometry may be generated by moving the steering pivot points [clarification needed] inward so as to lie on a line drawn between the steering kingpins, which is the pivot point, and the centre of the rear axle. [2]
In the mathematical field of graph theory, the windmill graph Wd(k,n) is an undirected graph constructed for k ≥ 2 and n ≥ 2 by joining n copies of the complete graph K k at a shared universal vertex. That is, it is a 1-clique-sum of these complete graphs. [1]
Pearls in Graph Theory: A Comprehensive Introduction is an undergraduate-level textbook on graph theory by Nora Hartsfield and Gerhard Ringel. It was published in 1990 by Academic Press [1] [2] [3] with a revised edition in 1994 [4] and a paperback reprint of the revised edition by Dover Books in 2003. [5]