By Cook R. J., Kalbfleisch J. D.

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N 0 is also a path in the graph. Similarly, a path (of length m) in a directed graph 〈 V, E〉 is a finite sequence of directed edges of the form N 0 → N1 → N 2 → ... → N m −1 → N m where each ordered pair N i N i +1 ∈ E in the sequence is understood to be a directed edge of the digraph. Two nodes are connected if there is a path between them. A cycle (of length m + 1) in a simple graph 〈 V , E〉 is a finite sequence of edges of the form N 0 − N1 − N 2 − ... − N m − N 0 , where m ≥ 1 . A cycle (of length m + 1) in a directed is a finite sequence of edges of the form graph 〈 V, E〉 N 0 → N1 → N 2 → ...

3 SENSORS AND INTELLIGENCE Intelligence messages generated from battlefield areas of operation drive fusion processes. Broadly, there are six basic intelligence categories (USAF, 1998; ODNI, 2008): • Signals Intelligence (SIGINT) • Imagery Intelligence (IMINT) • Measurement and Signature Intelligence (MASINT) • Human Intelligence (HUMINT) • Open-Source Intelligence (OSINT) • Geospatial Intelligence (GEOINT) In addition, there is also Scientific and Technical (S&T) Intelligence resulting from the analysis of foreign scientific and technical information.

The topics discussed in this chapter include graphs and trees, basic probability theory and statistics, mathematical logic, and a concise introduction to the theory of algorithmic complexity (we will use this theory to analyze expected runtime performance of evidence propagation algorithms). But first, we explain our conventions for symbol usage. , x1 , y1 , z1 ,... , 19 X 1 , Y1 , Z1 , N1 , U1 , V1 , W1 ,... , P1 , Q1 , R1 ,... , a1 , b1 , c1 ,... , f1 , g1 , h1 ,... , A1 , B1 , L1 , M 1 ,... Italicized, uppercase letters F , G , H , F1 , G1 , H1 ,...