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

... 3.3 (a) There exists a hypohamiltonian snark with cyclic connectivity 5 and order n for each even n ≥ 140. (b) There exists a hypohamiltonian snark with cyclic connectivity 6 and order n for each even ... large even integer there exist hypohamiltonian snarks with cyclic connectivity 5 and 6. A slight modification of the method can also provide snarks with...

Ngày tải lên: 07/08/2014, 15:22

... 44 − 48F 48 − 53 F 53 − 56 F 57 A 62 − 64F r = 6 a 35 − 37D 38 − 40G 43 − 47F 48A 54 − 57 F 60 − 66F 65 − 73F 71 − 78F r = 7 36 − 41F 42 − 46G a49 − 56 E 54 − 56 G 60 − 65F 66A 73 − 75F 79 − 86F r = ... 8 a41E a48 − 50 F a53 − 61F 58 − 64D 65 − 76E 72 − 76G 79 − 85F 86A r = 9 41F a50E 55 − 61E a63 − 72F a71 − 81D 78 − 86G 85 − 96E 93 − 96G r = 10 45 − 49F 50 F a61E a70 − 72E...

Ngày tải lên: 07/08/2014, 15:22

... 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 (1987), ... x m x 1 x 2 x 3 x 4 x 5 x m−1 y 1 y 2 y 3 y 4 y 5 y m−1 y 0 = y m (b) . . . . . . . . . x 0 = y m x 1 x 2 x 3 x 4 x 5 y 1 y 2 y 3 y 4 y 5 y m−1 y 0 = x m (c) C 1 C 2 C 3 C...

Ngày tải lên: 08/08/2014, 14:22

Ngày tải lên: 05/08/2014, 10:20

... by       L 1,7 L 1,8 L 1,9 L 1,10 L 1,11 L 2,7 L 2,8 L 2,9 L 2,10 L 2,11 L 3,7 L 3,8 L 3,9 L 3,10 L 3,11 L 4,7 L 4,8 L 4,9 L 4,10 L 4,11 L 5, 7 L 5, 8 L 5, 9 L 5, 10 L 5, 11       =       31 9 456 25 2364 23 157 6 25 2364 31 9 456 37 2364 4 45 9 456 23 394 355 9 456 25 2364 87 157 6 53 394 97 788 23 394 23 157 6 52 9 2364 3043 9 456 53 394 4 45 9 4...

Ngày tải lên: 08/08/2014, 01:20

... to Φ.  With Theorem 5. 1 and the above definitions, the proofs of Proposition 4.1, Lemmas 4.2 and 4 .4 , and Theorem 4 .5 carry over almost verbatim to the context of simplicial posets and can ... the f-numbers and h-numbers of ∆ to the dimensions of the singular homology groups of ∆ with coefficients in a certain field; see, for example, the work of Bj¨orner and Kalai in [2]...

Ngày tải lên: 08/08/2014, 01:20

... 7), 17, 0), with λ 0 ≈ 0. 151 564 and C(18, (8, 6; 1, 7), 17, 1), with λ 1 ≈ 0 .59 066 25. the electronic journal of combinatorics 17 (2010), #R2 12 References [1] Berman, Leah Wrenn and Branko Gr¨unbaum. ... (48 5 ) configurations C(12, (4, 1; 4, 5) , 1, 1), which is shown in Figure 5, and C(12, (4, 1; 4, 5) , 3, 1), form the smallest known examples of 5- configurations. The c...

Ngày tải lên: 08/08/2014, 11:20

Ngày tải lên: 05/08/2014, 09:46

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Ngày tải lên: 05/08/2014, 15:20

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Ngày tải lên: 05/08/2014, 15:20