https://ogma.newcastle.edu.au/vital/access/ /manager/Index ${session.getAttribute("locale")} 5 Computation and theory of extended Mordell-Tornheim-Witten sums https://ogma.newcastle.edu.au/vital/access/ /manager/Repository/uon:14096 Wed 11 Apr 2018 16:33:53 AEST ]]> Graph labeling techniques https://ogma.newcastle.edu.au/vital/access/ /manager/Repository/uon:31249 Wed 11 Apr 2018 16:19:10 AEST ]]> Random walks, elliptic integrals and related constants https://ogma.newcastle.edu.au/vital/access/ /manager/Repository/uon:13362 Wed 11 Apr 2018 16:10:46 AEST ]]> Midpoint-free subsets of the real numbers https://ogma.newcastle.edu.au/vital/access/ /manager/Repository/uon:19218 Wed 11 Apr 2018 13:54:59 AEST ]]> The connectivity and nature diagnosability of expanded k-ary n-cubes https://ogma.newcastle.edu.au/vital/access/ /manager/Repository/uon:32179 kn has many good properties. In this paper, we prove that (1) the connectivity of XQkn is 4n; (2) the nature connectivity of XQkn is 8n − 4; (3) the nature diagnosability of XQkn under the PMC model and MM∗ model is 8n − 3 for n ≥ 2.]]> Wed 09 May 2018 14:58:09 AEST ]]> On the structure of polytopes related to the Hamilton Cycle Problem https://ogma.newcastle.edu.au/vital/access/ /manager/Repository/uon:40668 Thu 14 Mar 2024 12:24:03 AEDT ]]> On range query usability of statistical databases https://ogma.newcastle.edu.au/vital/access/ /manager/Repository/uon:1518 Sat 24 Mar 2018 08:30:47 AEDT ]]> Bi-banded paths, a bijection and the Narayana numbers https://ogma.newcastle.edu.au/vital/access/ /manager/Repository/uon:11717 Sat 24 Mar 2018 08:07:25 AEDT ]]> The tightly super 3-extra connectivity and diagnosability of locally twisted cubes https://ogma.newcastle.edu.au/vital/access/ /manager/Repository/uon:32178 et al. proposed the g-extra diagnosability of G, which restrains that every component of G - S has at least (g + 1) vertices. The locally twisted cube LTQn is applied widely. In this paper, we show that LTQn is tightly (4n-9) super 3-extra connected for n≥6 and the 3-extra diagnosability of LTQn under the PMC model and MM* model is 4n - 6 for n≥5 and n≥7, respectively.]]> Mon 23 Sep 2019 12:57:15 AEST ]]>