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Let X~* and Y~* be generated by S\cup {v_0},where G(S)is Hamiltonian connected and|X~*|=x~*,|Y~*|=Y~* and S_1~*,S_2~*,…,S_(x*)~* be the sets of vertices contained in the opensegments of C between vert...
THE CLAR FORMULAS OF REGULAR t-TIER STRIP BENZENOID SYSTEMS
Benzenoid system perfect matching Clar f
2007/8/7
This paper obtains a sufficient condition for a cover of a class of benzenoid systems called the regular t-tier strips to be maximum. As applications, we construct Clar formulas of various benzenoid s...
It is proved that for k≥71, the circumference c(G)of a 3-connected k-regular graphG on n vertices is at least min{|G|,3k+5}. This result is essentially best possible.