Báo cáo toán học: "Constructing 5-configurations with chiral symmetry" pot

Báo cáo toán học: "Constructing Hypohamiltonian Snarks with Cyclic Connectivity 5 and 6" pot

Báo cáo toán học: "Constructing Hypohamiltonian Snarks with Cyclic Connectivity 5 and 6" pot

... the semiedges formerly incident with u into the input connector and those formerly incident with v into the output connector. Let J k be the resulting dipole with In(J k ) and Out(J k ) as indicated ... A) 2 f δ through E which together cover all the vertices of E, the former ending with e α and e β , the latter one ending with f γ and f δ , where α, β, γ, δ ∈ {t, m, b}. • Type B: T...

Ngày tải lên: 07/08/2014, 15:22

21 302 0
Báo cáo toán học: "Nonexistence of graphs with cyclic defect" pot

Báo cáo toán học: "Nonexistence of graphs with cyclic defect" pot

... Delorme and G. Pineda-Villavicencio, On graphs with cyclic defect, Electron. J. Combin. 17 (2010), #R143. [2] S. Fajtlowicz, Graphs of diameter 2 with cyclic defect, Colloquium Mathematicum 51 ... Here we prove that this conjecture holds. Keywords: Graphs with cyclic defect, Moore bound, defect, repeat. 1 Nonexistence of graphs with cyclic defect Let G be a graph of maximum degree ∆,...

Ngày tải lên: 08/08/2014, 14:22

5 298 0
Báo cáo toán học: "Constructing 5-configurations with chiral symmetry" pot

Báo cáo toán học: "Constructing 5-configurations with chiral symmetry" pot

... given in [3], where it was shown that there are no astral 5-configurations with dihedral symmetry. The existence of astral 5-configurations with only cyclic symmetry is still unsettled but is highly ... line passes through five points. We describe how to construct the first known family of 5-configurations with chiral (that is, only rotational) symmetry, and prove that the constructi...

Ngày tải lên: 08/08/2014, 11:20

14 342 0
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