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  2. Mich. 2007 GRAPH THEORY – EXAMPLES 1 IBL 1. ...

    https://www.dpmms.cam.ac.uk/study/II/Graphs/2007-2008/graph1.pdf
    11 Oct 2007: Show that G is a tree if and only if theaddition of any edge to G produces exactly 1 new cycle.

  3. MATHEMATICAL TRIPOS PART II (2006–07) Graph Theory - Example ...

    https://www.dpmms.cam.ac.uk/study/II/Graphs/2006-2007/ex3.pdf
    23 Feb 2007: un} with χ(Gk) = k.Construct a graph Gk1 from Gk by adding new vertices {w,v1,. ... 6) Let G be the graph of order 2n1 obtained by subdividing a single edge of Kn,n bya new vertex.

  4. CODES AND CRYPTOGRAPHY – Example Sheet 3 TKC Michaelmas ...

    https://www.dpmms.cam.ac.uk/study/II/Coding/2007-2008/Exercise_3.pdf
    15 Nov 2007: A new code is formed by adding a single parity check bit to the end of the Hamming code, showthat this is linear and repeat the exercise above for this code.

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