[PDF] Top 20 FINDING THE MOST VITAL EDGES WITH RESPECT TO THE NUMBER OF SPANNING-TREES
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FINDING THE MOST VITAL EDGES WITH RESPECT TO THE NUMBER OF SPANNING-TREES
... Furthermore, from the one-to-one correspondence stated in lemma 1, it follows that the number of spanning trees of an undirected graph G containing a particular edge (u,v) equals [r] ... See full document
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THE MOST VITAL EDGES WITH RESPECT TO THE NUMBER OF SPANNING-TREES IN 2-TERMINAL SERIES-PARALLEL GRAPHS
... In this paper, both the 1-MVE problem and k-MVE problem are considered for a special class of graphs called two-terminal series-parallel graphs [5], The formal description of t[r] ... See full document
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FINDING THE MOST VITAL EDGE WITH RESPECT TO MINIMUM SPANNING TREE IN WEIGHTED GRAPHS
... Department of Information and Computer Science, National Chiao Tung University, Hsinchu 30050, Taiwan, ROC.. Maw-Sheng Chern.[r] ... See full document
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An Efficient Parallel Strategy for ComputingK-Terminal Reliability and Finding Most Vital Edges in 2-Trees and Partial 2-Trees
... tree of a 2-tree G. T is a canonical tree if and only if each P node of T has two children: one is an S node, and the other is a P node or a leaf ...prove the if part. If each P node satisfies ... See full document
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A response to Volgenant's addendum on the most vital edges
... Our mo- tivation was to study the effect on the cost of any com- binatonal optimization problem subject to the deletion of an edge in turn. * To whom correspondence should be[r] ... See full document
1
A formula for the number of spanning trees of a multi-star related graph
... Our new labeling method transforms the complement spanning tree matrix G into matrix whose left-upper submatrix is an identity matrix and whose right-lower submatr[r] ... See full document
4
On the number of spanning trees of a multi-complete/star related graph
... On the number of spanning trees of a multi-complete/star related graph Kuo-Liang Chung a,∗ , Wen-Ming Yan b,1 a Department of Information Management, Institute of ... See full document
7
Reducing the height of independent spanning trees in chordal rings
... concerned with a particular family of regular 4-connected graphs, called chordal ...variation of ring ...network, the reliability and fault-tolerance of the network are ...Two ... See full document
6
On the Extremal Number of Edges in Hamiltonian Graphs
... b) to denote the number of combinations of “a” numbers taking “b” numbers at a time, where a, b are positive integers and a ≥ ...For the graph definitions and notations, we ... See full document
7
Orderly Spanning Trees with Applications
... According to their lower bounds, the 2-visibility drawing produced by our algorithm is worst-case ...order to take advantage of the wonderful properties of canonical orderings, ... See full document
22
On the extremal number of edges in hamiltonian connected graphs
... On the extremal number of edges in hamiltonian connected graphs I Tung-Yang Ho a, ∗ , Cheng-Kuan Lin b , Jimmy ...Department of Information Management, Ta Hwa Institute of ... See full document
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The minimum number of e-vertex-covers among hypergraphs with e edges of given ranks
... study the problem that among all hypergraphs with e edges of ranks l 1 , ...has the least number of vertex-covers of size e. The problem is very difficult ... See full document
6
On the Independent Spanning Trees Problem in a Hypercube
... algorithm, the source node sends the message to all its neighbors at ...Then, the neighbors in turn send the message to adjacent nodes based on a bit direction ...rule. ... See full document
4
The symmetry number problem for trees
... For trees, we define the notion of the so-called symmetry number to measure the size of the maximum subtree that exhibits an axial symmetry in graph ... See full document
7
An optimal algorithm for finding locally connected spanning trees on circular-arc graphs
... a spanning tree of a graph ...connected spanning tree of G if for every vertex of T , the set of all its neighbors in T induces a connected subgraph of ...model ... See full document
9
Edge-disjoint Undirected Spanning Trees on the Wrapped Butterfly Networks
... problem of finding the maximum number of edge- disjoint spanning trees arises from the need for developing efficient collective communication algorithms in ... See full document
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Embedding Edge-Disjoint Spanning Trees on the Alternating Group Graphs
... Department of Information Management, Kun-Shan University of Technology Abstract In this paper we construct a graph that consists of the maximum number of directed edge-disjoint ... See full document
21
On the height of independent spanning trees of a k-connected k-regular graph
... SDWK LQ HDFK WUHH DUH LQWHUQDOO\ GLVMRLQW $ VHW RI VSDQQLQJ WUHHV RI * LV VDLG WR EH LQGHSHQGHQW LI WKH\ DUH SDLUZLVH LQGHSHQGHQW =HKDYL DQG ,WDL FRQMHFWXUHG WKDW DQ\ NFRQQHFWHG JUDSK KD[r] ... See full document
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Multicolored parallelisms of isomorphic spanning trees
... its edges receive distinct ...edge-colored with 2m − 1 colors in such a way that the edges of K 2m can be partitioned into m multicolored isomorphic spanning ... See full document
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Multicolored Parallelisms of Isomorphic Spanning Trees
... its edges receive distinct ...edge-colored with 2m − 1 colors in such a way that the edges of K 2m can be partitioned into m multicolored isomorphic spanning ... See full document
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