Question 2* Consider th following twelve diagrams A, . I'Izl IiiI I_I_I ISIS: 1x33: ZZZ ZZLI ISI7I 1:41 RSI III IZIZI (a) Each diagram represents a...

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Question 2* Consider th following twelve diagrams A, . . . ,L: I‘Izl Iii—I I_I_I ISIS:1x33: ZZZ ZZLI ISI7I1:41 RSI III IZIZI (a) Each diagram represents a simple graph of order 6 with exactly one circuit, but notall graphs are different. When X, Y represent the same graph we write X E“ Y.For example, A g B. Partition the set {A, B, ..., L} using the equivalence relation g. (b) Any hydrocarbon molecule consists of joined-up carbon and hydrogen atoms, and canbe represented by a connected graph in which each C has degree 4 and each H hasdegree 1. The subgraph of C atoms and edges between them is sometimes called the‘skeleton’ of the molecule. When this skeleton is a tree, the molecule is ‘saturated’ (aswe have seen). When it is simple but not a tree it is ‘cyclic saturated’. All the diagrams in (a) correspond to skeletons of monocyclic saturated isomers of thehydrocarbon Csng. For diagrams D, and H draw a full molecule structure diagramby ‘hanging off’ H’s from C’s at all appropriate places Any valid layout is acceptable. (c) The standard naming convention of hydrocarbon isomers is entirely based on thegraph theoretic properties of the skeleton. For example the isomer corresponding todiagram A is called propylcyclopropane, which means a 3 (‘prop’) carbon-chain (‘yl’)attached to a circuit (‘cyclo’) of 3 (‘prop’ again) minimally-linked carbons (‘ane’).With the help of http: l/ww.chemspider. com/Search.aspx?q=66h12, give a fullchemical name for the two isomers whose structure diagram you drew for (b).(Prefixes ‘meth’, ‘eth’, ‘prop’, ‘but’ mean 1,2,3,4. When used, digits show positions.Special skeleton shapes convey geometric information not relevant to this question.)