憎恶
发表于 2025-3-23 09:46:16
Planar GraphsAlthough the diagrams of those graphs we have drawn have always been in a plane, sometimes the edges cross each other. If the graph is isomorphic to one where this doesn’t occur, it is said to be .. Thus, the graphs in Figure 6.1 are planar, but the one in Figure 6.2 is not, but this is not so easy to see yet.
小淡水鱼
发表于 2025-3-23 14:15:20
Graphs and MatricesIn order to store a graph or digraph in a computer, we need something other than the diagram or the formal definition. This something is the adjacency matrix, a matrix of O’s and l’s. The l’s correspond to the arcs of the digraph. Certain matrix operations will be seen to correspond to digraph concepts.
冰雹
发表于 2025-3-23 21:19:18
Introduction to Markov ChainsIn Chapter 7, we saw how weighted digraphs and adjacency matrices are related. In this chapter, we consider particular types of weights and matrices that are used with Markov chains, and their associated special terms, which differ from those used previously.
doxazosin
发表于 2025-3-23 22:24:56
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言外之意
发表于 2025-3-24 04:40:40
Absorbing Markov ChainsThe prototypes of the absorbing chains are the Russian roulette and random walk chains:
低三下四之人
发表于 2025-3-24 10:19:51
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BOOM
发表于 2025-3-24 10:52:36
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GLOSS
发表于 2025-3-24 14:52:41
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确认
发表于 2025-3-24 21:08:26
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权宜之计
发表于 2025-3-25 01:52:17
Minyu Tao,Zhiming Ding,Yang Caoving paired comparisons, in round robin tournaments in which each player plays every other one, in studying pecking order in a barnyard or in an organization. Some natural questions that arise with these digraphs are: (i) Is there always a winner? (ii) Is there an ordering of the players determined by the tournament? (iii) If so, is it unique?