Báo cáo toán học: "Circular degree choosability" pptx

... K 4 -minor-free block with maximum degree at most 3. Suppose H contains a vertex z 0 of degree 2, with neighbours x, y, and H  is formed from H by replacing z 0 by two vertices u, v of degree 1 with neighbours ... z 0 . In either case, z 0 has degree 2 in B. Let its neighbours in B be x and y, and let G be the graph obtained from B by replacing z 0 by two vertices u, v of degree 1...

Ngày tải lên: 07/08/2014, 13:21

... Math. (1972) 40, 617-622. [419] A. B. Kempe: On a general method of describing plane curves of the n-th degree by linkwork, Proc. London Math. Soc. 7 (1875), 213-216. [420] W. Kern: Adjoints und Polare ... complementary problem, Ph.D. Thesis, Cornell University 1986, 111 pages. [508] W. D. Morris jr.: LCP degree theory and oriented matroids, SIAM J. Matrix Anal. Appl. 15 (1994), 995-1006....

Ngày tải lên: 07/08/2014, 05:23

... bounds for the maximum degree ∆ k and minimum degree δ k of the iterated line graph L k (G): 2 k (δ 0 − 2) + 2 ≤ δ k ≤ ∆ k ≤ 2 k (∆ 0 − 2) + 2. Thus, the maximum and minimum degree both have order ... classes. 2 The Maximum Degree Induced Subgraph We begin with some basic definitions. Definition 1. Let ∆(G) be the maximum degree among the vertices of G,andδ(G) be the minimum degree....

Ngày tải lên: 07/08/2014, 06:20

... 2 from each vertex x of degree at least 3 to each vertex y of degree 2 that is loosely adjacent to x. If y has degree 2, then y is loosely adjacent to two vertices of degree at least 3. Thus the ... Suppose x has degree at least 4 or x has degree 3 and d l (x) ≤ 4k − 3.Ifx is loosely adjacent to a critical vertex y, then transfer a charge of amount 1 from x to y.Supposex has degr...

Ngày tải lên: 07/08/2014, 06:22

... Bounded -degree graphs can have arbitrarily large slope numbers J´anos Pach ∗ and D¨om¨ot¨or P´alv¨olgyi R´enyi ... 2006 Mathematics Subject Classification: 05C62 Abstract We construct graphs with n vertices of maximum degree 5 whose every straight-line drawing in the plane uses edges of at least n 1/6−o(1) distinct ... straight-line drawing of G.Dujmovi´c et al. [DSW04] asked whether the s...

Ngày tải lên: 07/08/2014, 13:21

... thickness parameters and maximum degree. A graph with maximum degree at most ∆ is called degree- ∆. Wessel [35] and Halton [14] independently proved that the thickness of a degree- ∆ graph is at most ... parameter of degree- ∆ graphs is unbounded for ∆ ≥ 5, thus answering the second question of Ambrus et al. [3] in the negative. It remains open whether sl(G) is bounded for degree- 3 or...

Ngày tải lên: 07/08/2014, 13:21

Ngày tải lên: 07/08/2014, 06:23

... program Strategic Scholarships for Frontier Research Network for the Ph.D. Program Thai Doctoral degree, Faculty of Science and Graduate School, Chiang Mai University for this research. References

Ngày tải lên: 20/06/2014, 20:20

Ngày tải lên: 20/06/2014, 20:20

Ngày tải lên: 20/06/2014, 20:20