Search results
Results from the WOW.Com Content Network
Input: A graph G and a starting vertex root of G. Output: Goal state.The parent links trace the shortest path back to root [9]. 1 procedure BFS(G, root) is 2 let Q be a queue 3 label root as explored 4 Q.enqueue(root) 5 while Q is not empty do 6 v := Q.dequeue() 7 if v is the goal then 8 return v 9 for all edges from v to w in G.adjacentEdges(v) do 10 if w is not labeled as explored then 11 ...
There exist fixed-parameter tractable algorithms to solve the metric dimension problem for the parameters "vertex cover", [13] "max leaf number", [14] and "modular width". [9] Graphs with bounded cyclomatic number, vertex cover number or max leaf number all have bounded treewidth, however it is an open problem to determine the complexity of the ...
The twin-width of an undirected graph is a natural number associated with the graph, used to study the parameterized complexity of graph algorithms.Intuitively, it measures how similar the graph is to a cograph, a type of graph that can be reduced to a single vertex by repeatedly merging together twins, vertices that have the same neighbors.
The width of a node is the number of its parents, and the width of an ordered graph is the maximal width of its nodes. The induced graph of an ordered graph is obtained by adding some edges to an ordering graph, using the method outlined below. The induced width of an ordered graph is the width of its induced graph. [2] Given an ordered graph ...
For graphs of constant arboricity, such as planar graphs (or in general graphs from any non-trivial minor-closed graph family), this algorithm takes O (m) time, which is optimal since it is linear in the size of the input. [18] If one desires only a single triangle, or an assurance that the graph is triangle-free, faster algorithms are possible.
A graph with three components. In graph theory, a component of an undirected graph is a connected subgraph that is not part of any larger connected subgraph. The components of any graph partition its vertices into disjoint sets, and are the induced subgraphs of those sets. A graph that is itself connected has exactly one component, consisting ...
Wall Street's main indexes edged lower in choppy trading on Thursday after monthly producer prices rose as expected, with investors awaiting Fed Chair Jerome Powell's comments later in the day for ...
In graph theory, the graph bandwidth problem is to label the n vertices v i of a graph G with distinct integers so that the quantity {| () |:} is minimized (E is the edge set of G). [1] The problem may be visualized as placing the vertices of a graph at distinct integer points along the x -axis so that the length of the longest edge is ...