ชื่อเรื่อง | : | On the Lovász ϑ-number of almost regular graphs with application to Erdős–Rényi graphs. |
นักวิจัย | : | Klerk, Etienne de. , Newman, M. W. , Pasechnik, Dmitrii V. , Sotirov, R. |
คำค้น | : | DRNTU::Science::Mathematics. |
หน่วยงาน | : | Nanyang Technological University, Singapore |
ผู้ร่วมงาน | : | - |
ปีพิมพ์ | : | 2551 |
อ้างอิง | : | Klerk, E. D., Newman, M. W., Pasechnik, D. V. & Sotirov R. (2009). On the Lovász ϑ-number of almost regular graphs with application to Erdős–Rényi graphs. European Journal of Combinatorics, 30(4), 879–888 , http://hdl.handle.net/10220/7516 , http://dx.doi.org/10.1016/j.ejc.2008.07.022 |
ที่มา | : | - |
ความเชี่ยวชาญ | : | - |
ความสัมพันธ์ | : | European journal of combinatorics |
ขอบเขตของเนื้อหา | : | - |
บทคัดย่อ/คำอธิบาย | : | We consider k-regular graphs with loops, and study the Lovász ϑ-numbers and Schrijver ϑ′-numbers of the graphs that result when the loop edges are removed. We show that the ϑ-number dominates a recent eigenvalue upper bound on the stability number due to Godsil and Newman [C.D. Godsil and M.W. Newman. Eigenvalue bounds for independent sets, J. Combin. Theory B 98 (4) (2008) 721–734]. As an application we compute the ϑ and ϑ′ numbers of certain instances of Erdős–Rényi graphs. This computation exploits the graph symmetry using the methodology introduced in [E. de Klerk, D.V. Pasechnik and A. Schrijver, Reduction of symmetric semidefinite programs using the regular *-representation, Math. Program. B 109 (2–3) (2007) 613–624]. The computed values are strictly better than the Godsil–Newman eigenvalue bounds. |
บรรณานุกรม | : |
Klerk, Etienne de. , Newman, M. W. , Pasechnik, Dmitrii V. , Sotirov, R. . (2551). On the Lovász ϑ-number of almost regular graphs with application to Erdős–Rényi graphs..
กรุงเทพมหานคร : Nanyang Technological University, Singapore. Klerk, Etienne de. , Newman, M. W. , Pasechnik, Dmitrii V. , Sotirov, R. . 2551. "On the Lovász ϑ-number of almost regular graphs with application to Erdős–Rényi graphs.".
กรุงเทพมหานคร : Nanyang Technological University, Singapore. Klerk, Etienne de. , Newman, M. W. , Pasechnik, Dmitrii V. , Sotirov, R. . "On the Lovász ϑ-number of almost regular graphs with application to Erdős–Rényi graphs.."
กรุงเทพมหานคร : Nanyang Technological University, Singapore, 2551. Print. Klerk, Etienne de. , Newman, M. W. , Pasechnik, Dmitrii V. , Sotirov, R. . On the Lovász ϑ-number of almost regular graphs with application to Erdős–Rényi graphs.. กรุงเทพมหานคร : Nanyang Technological University, Singapore; 2551.
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