finding the minimum spanning tree

... be the cost of the minimum spanning tree when the edges of the complete graph Kn have costs selected independently and uniformly at random in the interval [0, 1] Then, for any constant ε < 1, there ... − the minimum spanning tree in the graph where edge e has weight min{Xe , Xe } Since this ψ(u)ψ(v) is a tree, there is a function ψ which assigns every vertex a polarity so that Xe is the minimum ... and then assigning the polarity of additional vertices in the order given by a breadth-first search of the minimum spanning tree. ) If this function is the one that comes up, then the expected cost...

Ngày tải lên: 07/08/2014, 13:21

... one spanning tree? Yes • Can an unconnected graph have a spanning tree? No a b u e c v f d DFS spanning tree • Generate the spanning tree edge during the DFS traversal Algorithm dfsSpanningTree(v) ... v5 Spanning Tree Use BFS and DFS Find a spanning subgraph of G and draw it below Draw all the different spanning trees of G Minimal Spanning Tree • The weight of a subgraph is the sum of the ... graph G • Let T be a spanning tree of G • cost(T) = ∑e∈Tweight(e) • The minimum spanning tree is a spanning tree T which minimizes cost(T) v1 v2 v4 v3 v5 Minimum spanning tree Greedy Choice We...

Ngày tải lên: 28/07/2014, 19:21

... Minimum spanning tree Ví dụ: Thuật toán Dijkstra-Prim Giới thiệu: - Thuật toán Edsger Dijkstra R.C Prim...

Ngày tải lên: 08/08/2014, 05:21

... applications, the used spanning tree is neither an MST nor a SPT Rather, many network architectures look for minimizing the diameter of the spanning tree, that is the length of the longest path in the tree ... a spanning tree whose total weight is minimum among all the spanning trees of G For tree- like communication networks, however, even a single link failure will affect the service Notice that these ... so that the maximum propagation delay in the network will be as low as possible A tree exhibiting minimum diameter among all possible spanning trees is named a minimum diameter spanning tree (MDST)...

Ngày tải lên: 16/06/2016, 01:35

... Frieze, On the value of a random minimum spanning tree problem, Discrete Applied Mathematics 10 (1985) 47 - 56 [3] A M Frieze and C J H McDiarmid, On random minimum length spanning trees, Combinatorica ... to obtain the result of Theorem Since if r = o(n) then one can tolerate a few small cuts For example, let G be a graph which satisfies the conditions of Theorem and suppose r = o(n) Then taking ... the worst-case, i.e Conjecture Assuming only the conditions of Theorem 1, mst(G) ≤ where = (δ) n ζ(3) + + δ → as δ → ∞ We prove instead Theorem If G is a connected graph then mst(G) ≤ where the...

Ngày tải lên: 07/08/2014, 06:20

... homotopy of the boundary walk: in the first case a backtracking pair of edges is removed, and in the second e is replaced by the complementary portion of the walk around the boundary of f These moves ... diagram in which the degree of each 2-cell is at most λ If T is a spanning tree in the 1-skeleton of ∆ then FL(∆, ) ≤ Diam T + λ Diam T ∗ + (∂∆), (3) where (∂∆) denotes the length of the boundary ... a geodesic spanning tree T in G based at – that is, a spanning tree such that for all vertices v in G, the distance from v to in T is the same as in G Note that Diam T ≤ 2Diam G Let the vertex...

Ngày tải lên: 07/08/2014, 13:21

... • A = ∅; • Với v V do: ∈ Make-Set(v); • Sắp xếp cạnh theo thứ tự không giảm trọng số • Với e = (u; v) xếp: • if Find-Set(u) ̸= Find-Set(v) then • A = A U e; • Union(u; v); • Với v V do: Make-Set...

Ngày tải lên: 12/08/2015, 20:49

... bridge ports have transitioned to either the forwarding or the blocking state • When the network topology changes, switches and bridges must recompute the Spanning- Tree Protocol, which disrupts user ... occurs to the network topology, STP maintains connectivity by transitioning some blocked ports to the forwarding state • RSTP significantly speeds the recalculation of the spanning tree when the network ... v2.0—3-7 Spanning- Tree Port States (Cont.) © 2002, Cisco Systems, Inc All rights reserved ICND v2.0—3-8 Spanning- Tree Path Cost © 2002, Cisco Systems, Inc All rights reserved ICND v2.0—3-9 Spanning- Tree...

Ngày tải lên: 08/07/2013, 01:27

Ngày tải lên: 06/09/2013, 00:10

... sentence (sentence 1) Then it offers support for that topic sentence in the form of details and examples Sentences and give the details of the FINDING THE SUPPORTING IDEAS change in the tuition reimbursement ... additionon the other hand as a result indeed secondly first in fact since first of all in other words specifically for example inparticular then for instance likewise therefore furthermore nevertheless ... more if they don’t have children”? a It’s the main idea of paragraph b It’s a fact that supports the main idea of paragraph What is the other sentence that supports the overall main idea of the passage?...

Ngày tải lên: 25/10/2013, 17:20

... of the following best summarizes the statement’s main idea? a There are too many thefts in the garage b There are not enough security guards c There is something wrong with the security in the ... security in the parking garage has not been working properly Furthermore, the word “yet” indicates that there is a conflict between the events that have taken place and the duties of the security ... when they’re not explicitly stated The correct answer is c, “There is something wrong with the security in the parking garage.” How can you tell that this is the main idea? For one thing, it’s the...

Ngày tải lên: 25/10/2013, 17:20

... is the MAC address of the switch? _ d Which switch should be the root of the spanning tree for VLAN 1? Step Look at the spanning tree table on each switch a At the ... Switch_A#show spanning- tree brief b On Switch_B type show spanning- tree brief at the privileged EXEC mode prompt as follows: Switch_B#show spanning- tree brief Examine the command output and answer the ... Switch_A#show spanning- tree brief b On Switch_B type show spanning- tree brief at the privileged EXEC mode prompt as follows: Switch_B#show spanning- tree brief c What changes have taken place in the command...

Ngày tải lên: 11/12/2013, 14:15

... interface vlan c What is the MAC address of the switch? _ d Which switch should be the root of the spanning tree for VLAN 1? Step Look at the spanning tree table on each ... Switch_A#show spanning- tree brief b On Switch_B type show spanning- tree brief at the privileged exec mode prompt as follows: Switch_B#show spanning- tree brief c What changes have taken place in the command ... to the switch port LEDs? _ Step Look at the spanning tree table on each switch a Type the following on Switch_A at the privileged exec mode prompt Note: Type show spanning- tree...

Ngày tải lên: 11/12/2013, 14:15

... Check again with the show spanning- tree command to make sure the priority has changed: ALSwitch#sh spanning- tree Spanning tree is executing the IEEE compatible Spanning Tree protocol Bridge Identifier ... DLSwitch1 is now the root of our spanning- tree The backup link is blocked at the other (non-root) end On ALSwitch: ALSwitch#sh spanning- tree int fa0/1 Interface Fa0/1 (port 13) in Spanning tree is FORWARDING ... issuing the above command, check to see who is the root of the spanningtree now: DLSwitch1> (enable) sh spantree VLAN Spanning tree enabled Spanning tree type ieee Designated Root 00-02-4b-59-40-00...

Ngày tải lên: 24/01/2014, 19:20

... further condition on the occurrence of S, then we should also contract the edges in K1 and delete the edges in K2 Therefore, conditionally on ΥR and the occurrence of S, the path γR has the ... apply the Cauchy-Schwarz inequality in the form E[Suz ]2 P[Suz > 0] ≥ E[Suz ] The estimates (2.6) and (2.7) then yield the assertion of the lemma uz Corollary 2.9 Under the assumptions of Theorem ... , 2−d GEOMETRY OF THE UNIFORM SPANNING FOREST 481 where the last inequality follows from the fact that for every v ∈ V , the union of a tree on {v, x, y} and a tree on V is a tree on W = V ∪ {x,...

Ngày tải lên: 14/02/2014, 17:20

... bridge ports have transitioned to either the forwarding or the blocking state • When the network topology changes, switches and bridges must recompute the Spanning- Tree Protocol, which disrupts user ... occurs to the network topology, STP maintains connectivity by transitioning some blocked ports to the forwarding state • RSTP significantly speeds the recalculation of the spanning tree when the network ... v2.0—3-7 Spanning- Tree Port States (Cont.) © 2002, Cisco Systems, Inc All rights reserved ICND v2.0—3-8 Spanning- Tree Path Cost © 2002, Cisco Systems, Inc All rights reserved ICND v2.0—3-9 Spanning- Tree...

Ngày tải lên: 17/02/2014, 08:20

... parent/child features Their algorithm finds the best solution according to the Eisner algorithm and then searches for the single valid edge change that increases the tree score The algorithm iterates ... c–pos/p–pos/ggp–pos (where gp is the grandparent and ggp is the great grand-parent) Edge POS-tag to the left and right of the subtree, both inside and outside the subtree For example, say a subtree with parent ... the graph A constrained spanning tree for GY,Z (a tree covering all nodes in the graph) must satisfy: Y ⊆ A ⊆ E − Z Let A be the (constrained) solution to a (constrained) graph and let e be the...

Ngày tải lên: 20/02/2014, 12:20

... CATiB uses the TrEd tool as a visual interface for annotation.7 The parsed trees are converted to TrEd format and delivered to the annotators The annotators are asked to only correct the POS, syntactic ... Parsing the Arabic Treebank: Analysis and Improvements In Treebanks and Linguistic Theories Conference, Prague, Czech Republic M Maamouri, A Bies, and T Buckwalter 2004 The Penn Arabic Treebank: ... accuracies, respectively These numbers are 95%, 98% and 94% (respectively) of the IAA scores on that set.5 At the production midpoint another parsing model was trained by adding all the CATiB annotations...

Ngày tải lên: 17/03/2014, 02:20

... over the left (the prefix) and the right (suffix) context of the head for each syntactic category occurring as the mother node of such heads To give a simple example, the rightmost NP to the left ... name”) The value of the :cs feature is the constituent structure of the subcategorisation frame, which lists the syntactic CF-PSG constituents in sequence The value of the :gs feature is the grammatical ... grammars (CFGs extracted from treebanks) are very large and grow with the size of the treebank We were interested in discovering whether the acquisition of lexical material on the same data displays...

Ngày tải lên: 17/03/2014, 06:20

... and right of the frontier of the excised subtree As shown in the figure below, the foot node can be thought of as a position in the frontier of a tree, determining how the string in the frontier ... elementary trees rather than the labels of the nodes For each node ~/in an elementary tree, we have two nonterminal X and I".: X derives the strings appearing on the frontier of trees derived from the ... appear in the same elementary tree Bill must either appear in an another elementary tree or must be above the phrase persuade to leave if it appears in the same elementary tree (so t h a t the phrase...

Ngày tải lên: 17/03/2014, 20:20