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Topic: Directed path

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Left Hand Path

The Noble Eightfold Path

critical path

Eulerian path

path integral

path connected

Path Records

Hamiltonian path

Kittanning Path

South West Coast Path

Path graph theory

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	Directed acyclic graph - Wikipedia, the free encyclopedia
		In mathematics, a directed acyclic graph, also called a dag or DAG, is a directed graph with no directed cycles ; that is, for any vertex v, there is no directed path starting and ending on v.
		The length of a finite dag is the length (number of edges) of a longest directed path.
		Every directed acyclic graph has a topological sort, an ordering of the vertices such that each vertex comes before all vertices it has edges to.
	en.wikipedia.org /wiki/Directed_acyclic_graph (422 words)

	Eulerian path - Wikipedia, the free encyclopedia
		In the mathematical field of graph theory, an Eulerian path is a path in a graph which visits each edge exactly once.
		For directed graphs path has to be replaced with directed path and cycle with directed cycle.
		A directed graph version of the Eulerian cycle algorithm can be obtained in a similar fashion, except that the even degree condition is replaced by an equal in- and out-degrees condition.
	en.wikipedia.org /wiki/Eulerian_path (741 words)

	Graph Terminology (Site not responding. Last check: 2007-11-06)
		For an edge e directed from v to w, v may be refered to as the tail of e or the origin of e, or the source of e, and w may be refered to as the head of e or the destination of e.
		In a directed graph, a directed path is a path, v
		That is, a directed path is a path in which the edges are all pointing in the same direction as you walk along the path.
	www.d.umn.edu /~gshute/cs4521/graphs/terminology.html (1090 words)

	PATIKA Query Design Document (Site not responding. Last check: 2007-11-06)
		Path : A path is a non-empty graph
		Negative upstream of a node is composed of the nodes on the incoming path that inhibits the preceding transition of that node.
		An incoming path of a node is a directed path ending at that node.
	www.cs.bilkent.edu.tr /~aksay/senior/queryDesign.htm (3111 words)

	Order theory (Site not responding. Last check: 2007-11-06)
		Directed complete partial orders (dcpos), that guarantee the existence of suprema of all directed subsets and that are studied in domain theory.
		For example, a function preserves directed suprema iff it is continuous with respect to the Scott topology (for this reason this order theoretic property is also called Scott-continuity).
		In this way, each order is seen to be equivalent to a directed acyclic graph, where the nodes are the elements of the poset and there is a directed path from a to b if and only if a ≤ b.
	www.sciencedaily.com /encyclopedia/order_theory (4094 words)

	Cathode ray tube - Wikipedia, the free encyclopedia
		Cathode rays are streams of high speed electrons emitted from the heated cathode of a vacuum tube.
		In a cathode ray tube, the electrons are carefully directed into a beam, and this beam is deflected by a magnetic field to scan the surface at the viewing end ( anode), which is lined with phosphorescent material (usually based on transition metals or rare earths).
		In case of an oscilloscope, the intensity of the electron beam is kept constant, and the picture is drawn by steering the beam along an arbitrary path.
	en.wikipedia.org /wiki/Cathode_ray_tube (1649 words)

	Patent 4936829: Drug delivery apparatus including beneficial agent chamber with chimney for a directed flow path
		The upward liquid flow path created within the chamber 106 by the first and second cannulas 100, 102 creates a density gradient within the chamber 106 such that the concentration of drug within the liquid 22 exiting at cannula end 102a will not be so high as to create local toxicity to the patient.
		A chimney-like projection 232 extends from the inner face 226 in a direction substantially parallel to the length of the cartridge or, stated differently, in a direction substantially perpendicular to the lid portion 228 of the pierceable stopper 222.
		The cannulas extend in a direction substantially parallel to the length of the chimney 232 and substantially perpendicular to the lid portion 228 of the pierceable stopper 222.
	www.freepatentsonline.com /4936829.html (11433 words)

	Generalising XPath for Directed Graphs
		The result of this exercise is a generalised path based query language which applies not only to annotations but to generalised directed graphs and which reduces to XPath as a special case.
		An AG is a directed graph representation of an annotation which foregrounds the sequential structure of annotations; nodes in the graph are anchor points and edges represent linguistic elements.
		Path positions are indexed from one so that the first node added to a path has an index one.
	www.ics.mq.edu.au /~cassidy/papers/extreme03.html (4060 words)

	D-separation
		He did so by combining directed graphs, which naturally represent causal hypotheses, and linear statistical models, which are systems of linear regression equations and statistical constraints, into a unified representation he called path analysis.
		In the first three, C is a non-collider on the path, and in the fourth C is a collider (See the module on directed graphs for an explanation of colliders and non-colliders).
		In the first case the path from A to B is blocked by conditioning on the intermediary C, similarly in case 2, and in case 3 you are conditioning on a common cause, which makes the effects independent.
	www.andrew.cmu.edu /user/scheines/tutor/d-sep.html (2144 words)

	graphs (Site not responding. Last check: 2007-11-06)
		A cycle is a path containing at least three vertices such that the last vertex on the path is adjacent to the first.
		We require all edges in a path or a cycle to have the same direction, so that following a path or a cycle means always moving in the direction indicated by the arrows.
		A directed graph is called strongly connected if there is a directed path from any vertex to any other vertex.
	www.ecst.csuchico.edu /~amk/foo/javanotes/graphintro.html (901 words)

	No Title
		With a directed graph, it is more likely we will have to keep restarting the algorithm as nodes may not be reachable from a particular starting point even if the graph is weakly connected.
		Alternating path is a path from v (in V) to u (in U, where U and V are node types of bipartite graph) both of which are unmatched in M such that the edges of P are alternatively in E-M and M (M is the maximal match)
		An augmenting path with respect to a given flow is a directed path from s to t which consists of edges from G, but not necessarily in the same direction.
	www.cs.usu.edu /~allanv/cs5050/ch7/ch7.html (3406 words)

	Shortest Path Algorithm
		That is, the path for which summing up the weights along all the edges from v to v' results in the smallest sum possible.
		The single-source shortest path problem can also be formulated on an undirected graph; however, it is most easily solved by converting the undirected graph into a directed graph with twice as many edges, and then running the algorithm for directed graphs.
		But this path must be longer than the shortest internal path, because the priority queue ensures that v is the closest frontier vertex.
	www.cs.cornell.edu /courses/cs312/2002sp/lectures/lec20/lec20.htm (2304 words)

	Digraph Definition (Site not responding. Last check: 2007-11-06)
		If no arcs appear more than once in a path, the path is called a
		A "simple path" according to another group (Cormen et al[4], Stanat and McAllister[5] and others) is a path in which no vertices appear more than once.
		if there is a path between every pair of its vertices.
	www.cs.odu.edu /~toida/nerzic/content/digraph/definition.html (587 words)

	Paths (yFiles-2.3.1 API) (Site not responding. Last check: 2007-11-06)
		It is not guaranteed though that the returned path is actually the longest path within the given graph, since that is a well known hard to solve problem.
		The longest path is defined as one of all directed paths within the graph for which the edge lengths of all contained edges sum up to a maximum.
		A chain in a graph is a paths of maximal length, where each internal node on the path has degree 2.
	www.yworks.com /products/yfiles/doc/api-gif/y/algo/Paths.html (739 words)

	Juniorklubben - Abstract (Site not responding. Last check: 2007-11-06)
		Abstract: In terms of computational complexity it can be much easier to examine all directed path in a graph than to consider all simple paths.
		Therefore it can be useful to transform a graph in such a way that the simple paths in the original graph are represented by the directed paths in the new graph.
		This is the heart of a result showing a certain question on graphs to be polynomial time solvable for graphs of treewidth (up to) 2 and NP-hard for graphs of treewidth 3 (or bigger).
	www.brics.dk /Juniorklubben/Abstracts/february-12-99.html (117 words)

	Graph Definitions
		directed graph or digraph - - graph in which each edge is associated with an ordered pair of vertices
		shortest path - the shortest path between two given vertices in a weighted graph is the path that has the smallest sum of its edge weights
		Hamilton circuit - a path that begins at a vertex v, passes through every vertex in the graph exactly once, and terminates at v.
	www.mtsu.edu /~csjudy/3110/htmlFiles/graphs.htm (620 words)

	Isomorphisms and Traversability of Directed Path Graphs (ResearchIndex) (Site not responding. Last check: 2007-11-06)
		Isomorphisms and Traversability of Directed Path Graphs (ResearchIndex)
		The directed path graph # P k (D) of a digraph D is obtained by representing the directed paths on k vertices of D by vertices.
		Two vertices are joined by an arc whenever the corresponding directed paths in D form a directed path on k + 1 vertices or form a directed cycle on k vertices in D. In this introductory paper several properties of # P 3 (D) are studied, in particular with respect to isomorphism and...
	citeseer.ist.psu.edu /256951.html (313 words)

	www9 paper
		Given a directed graph, a strongly connected component (strong component for brevity) of this graph is a set of nodes such that for any pair of nodes u and v in the set there is a path from u to v.
		A path is defined as for directed graphs, except that now the existence of a path from u to v implies a path from v to u.
		We refer to the components of the undirected graph obtained from a directed graph by ignoring the directions of its arcs as the weak components of the directed graph.
	www.almaden.ibm.com /cs/k53/www9.final (6318 words)

	Robotics Institute: Mission-Directed Path Planning for Planetary Rover Exploration
		Path planning tailored for this task must consider the impact of large scale terrain on power, speed and regional access; the effect of route timing on resource availability; the limitations of finite resource capacity and other operational constraints on vehicle range and timing; and the mutual influence between traverses and upstream and downstream stationary activities.
		This research presents mission-directed path planning that enables an autonomous, strategic reasoning capability for robotic explorers.
		Three planetary-relevant field experiments demonstrate the power of mission-directed path planning in directing actual exploration robots.
	www.ri.cmu.edu /pubs/pub_5092.html (514 words)

	Java Forums - directed/undirected graphs, connectivity, terminology
		For example, imagine the simple directed graph [(1) -> (2)], it is weakly connected (there is an undirected path between 1 and 2) and also connected (?), since there is a directed path from 1 to 2.
		It is not strongly connected, since there is no directed path from 2 to 1.
		Let a one-way directed graph be a graph that for every two nodes, (u, v), there exists a directed path from u to v, or a directed path from v to u (or both?, but not both?).
	forum.java.sun.com /thread.jspa?threadID=599336&tstart=45 (757 words)

	[No title] (Site not responding. Last check: 2007-11-06)
		In summary, by assuming that there is no directed path from w to v, we have found that there is not time that v could have been visited in phase 1.
		L' is the set of nodes that can reach w' via a directed path in G, and which have not already been put in a strong component.
		We want to prove that SC(w') = L' and for that, it suffices to show that there is a directed path from w' to each node v' in L'.
	wwwcsif.cs.ucdavis.edu /~gusfield/cs122/newstrong (506 words)

	Mathenomicon.net : Reference : path (Site not responding. Last check: 2007-11-06)
		A [directed] path in a directed graph is a sequence of edges
		The initial vertex of the first edge in the sequence is the initial vertex of the path; the terminal vertex of the last edge is the terminal vertex of the path.
		An undirected path also consists of such a sequence of edges, but the orientation of the edges does not matter.
	www.cenius.net /refer/display.php?ArticleID=path (94 words)

	Computing - path algebra
		The transitive closure of a directed digraph is the digraph of directed paths.
		In other words, if A is a digraph and A' is its transitive closure, then xA'y means there is a directed path from x to y in A. We'll call (perhaps incorrectly) such a digraph a p-graph (path graph).
		The set of all maximal paths of a p-graph also form a digraph, one we shall call an mp-graph (maximal path graph).
	www.panix.com /~dave/computing/path.html (757 words)

	No Title
		Strongly connected directed graph: A directed graph such that there exists a directed path from every vertex to every other vertex.
		Formally, we want to find a path from ``Ross's wife'' to every other vertex such that the edge labels of the path are in increasing order (since the episode numbers correspond to time).
		If there exists an increasing path from ``Ross's wife'' to another friend then the disease is likely to have been passed to that friend.
	www.cs.rpi.edu /~breime/courses/csci2300/FinalExam (930 words)

	directed_acyclic_graph (Site not responding. Last check: 2007-11-06)
		In mathematics, a '''directed acyclic graph''', also called a '''dag''', '''DAG''', or '''acyclic directed graph''', is a directed graph with no dicycle s; that is, for any vertex ''v'', there is no directed path starting and ending on ''v''.
		DAGs appear in models where it doesn't make sense for a vertex to have a path to itself; for example, if an edge ''u''→''v'' indicates that ''v'' is a part of ''u'', such a path would indicate that ''u'' is a part of itself, which is impossible.
		DAGs can be considered to be a generalization of tree s in which certain subtrees can be shared by different parts of the tree.
	q-basic.xodox.de /directed_acyclic_graph (411 words)

	Please see PDF version
		In Karp (1977) the problem is posed of formulating a probabilistic model of the directed traveling salesman problem (DTSP) for which one can establish a probabilistic polynomial time algorithm.
		It may not be apparent that there is always a directed path through V, This follows from a classic result o~,gidei (1934) and will be established algorithmically in the next section.
		(1) By a directed path we mean a sequence of directed edges e,, e2,.
	www-stat.wharton.upenn.edu /~steele/Papers/HTML/Paftdt.html (2164 words)

	The Friendship Graph (Site not responding. Last check: 2007-11-06)
		The ``heard-of'' graph is directed, since many famous people who I have heard of have never heard of me! The ``had-sex-with'' graph is presumably undirected, since the critical operation always requires a partner.
		Through Uncle Lenny, I have a path of length 2 to Cousin Mel, while the path is of length 4 by blood and marriage.
		A directed graph is strongly connected if there is always a directed path between any two vertices.
	www.cs.toronto.edu /~yuana/AlgorithmManual/BOOK/BOOK2/NODE60.HTM (919 words)

	95.202 Notes 8 - Graphs (Site not responding. Last check: 2007-11-06)
		A path in a graph is a sequence of alternating vertices and edges that starts at a vertex and ends at a vertex such that an edge is incident to its predecessor and successor vertex.
		A directed path is a path such that all edges are directed and traversed in order from source to destination.
		In a sense, the DFS involves walking along a path in the graph until a dead-end is reached and then coming back and trying a new path.
	www.scs.carleton.ca /~lanthier/teaching/202/Graph/Graph.html (3390 words)

	Game Interface Design
		When a player must travel through a level to complete an objective, then the functionality of the game may be modeled by the paths through the level.
		Granted, the qualities are complex, yet part of the direct manipulation implication is that it mirrors physical interaction.
		A world map, a zone map, and a minimap work together with the description of locations given in the quest dialog to direct a novice player efficiently toward his or her objective.
	finegamedesign.com /ui/index.html (4807 words)

	Probabilistic Causation
		Reichenbach's proposal was that the direction from cause to effect is the direction in which open forks predominate.
		First, a directed graph G on V is a set of directed edges, or ‘arrows’, having the variables in V as their vertices.
		The directed acyclic graph G over V may be related to the probability distribution in a number of ways.
	plato.stanford.edu /entries/causation-probabilistic (10656 words)

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