共查询到20条相似文献,搜索用时 31 毫秒
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J. B. Collins Ruth Haas Aloysius G. Helminck Kristine Engel Pelatt Silvia Saccon 《代数通讯》2020,48(6):2293-2306
AbstractFor a Weyl group G and an automorphism θ of order 2, the set of involutions and θ-twisted involutions can be generated by considering actions by basis elements, creating a poset structure on the elements. Haas and Helminck showed that there is a relationship between these sets and their Bruhat posets. We extend that result by considering other bases and automorphisms. We show for G = Sn, θ an involution, and any basis consisting of transpositions, the extended symmetric space is generated by a similar algorithm. Moreover, there is an isomorphism of the poset graphs for certain bases and θ. 相似文献
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Andreas M. Hinz Sandi Klavžar Sara Sabrina Zemljič 《Central European Journal of Mathematics》2013,11(6):1153-1157
Hanoi graphs H p n model the Tower of Hanoi game with p pegs and n discs. Sierpinski graphs S p n arose in investigations of universal topological spaces and have meanwhile been studied extensively. It is proved that S p n embeds as a spanning subgraph into H p n if and only if p is odd or, trivially, if n = 1. 相似文献
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Consider a graph consisting of a vertex set and an edge set . Let and denote the maximum degree and the chromatic number of , respectively. We say that is equitably -colorable if there exists a proper -coloring of such that the sizes of any two color classes differ by at most one. Obviously, if is equitably -colorable, then . Conversely, even if satisfies , we cannot guarantee that must be equitably -colorable. In 1994, the Equitable -Coloring Conjecture asserts that a connected graph with is equitably -colorable if is different from for all . In this paper, we give necessary conditions for a graph (not necessarily connected) with to be equitably -colorable and prove that those necessary conditions are also sufficient conditions when is a bipartite graph, or satisfies , or satisfies . 相似文献
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Jessica De Silva Kristin Heysse Adam Kapilow Anna Schenfisch Michael Young 《Discrete Mathematics》2018,341(2):492-496
For two graphs and , the Turán number is the maximum number of edges in a subgraph of that contains no copy of . Chen, Li, and Tu determined the Turán numbers for all Chen et al. (2009). In this paper we will determine the Turán numbers for all and . 相似文献
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Michael Iltis 《Journal of Theoretical Probability》1995,8(3):501-522
Given a sequence {X1}i=1,2,3,... of i.i.d. random variables taking values in ? d ,d≥2, letS n =Σ i=1 n X t=1. For Λ a Borel set in ? d having smooth boundary, witha=infx∈ΛI(x) the minimal value of the large deviation rate functionI(x) over Λ, we find, under suitable hypotheses, asymptotic results asn→∞, of the form $$P(S_n \in n\Gamma ) = n^\gamma e^{ - na} (d_0 + o(1))$$ where the constant γ depends sensitively on the geometry of Λ and the dimensiond, and takes values ?∞<γ≤(d?2/2). For fixeda=infx∈ΛI(x), we construct examples having any specific γ in this range. 相似文献
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《General Topology and its Applications》1979,10(3):233-238
In this paper, some partial solutions are given to the problem concerning θ-refinability of strict p-spaces. It is shown that every locally compact strict p-space is θ-refinable and every locally hereditarily separable strict p-space is subparacompact. 相似文献
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N. V. Lazakovich S. P. Stashulenok O. L. Yablonskii 《Lithuanian Mathematical Journal》1999,39(2):196-202
In this paper, we consider problems of approximation of stochastic θ-integrals (θ)∫
0
t
f(B(s))dB(s) with respect to a Brownian motion by sums of the form ∑
k=1
p
fn(B
n
θ
(tk-1))[B
n
θ
(tk)-B
n
θ
(tk-1], where the sequences {fn,n∈∕#x007D; and {[B
n
θ
,n∈∕} are convolution-type approximations of the functionf and Brownian motionB.
Belorussian State University, F. Skoryna ave. 4, 220050 Minsk, Belorus. Translated from Lietuvos Matematikos Rinkinys, Vol.
39, No. 2, pp. 248–256, April–June, 1999.
Translated by V. Mackevičius 相似文献
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Guang-hua DONG~ Yan-pei LIU Department of Mathematics School of Science Beijing Jiaotong University Beijing China 《中国科学A辑(英文版)》2007,50(11):1563-1570
In this paper,we provide a new class of up-embeddable graphs,and obtain a tight lower bound on the maximum genus of a class of 2-connected pseudographs of diameter 2 and of a class of diameter 4 multi-graphs.This extends a result of Skoviera. 相似文献
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In case ofGL
n
overp-adic fields, it is known that Shintani base change is well behaved. However, things are not so simple for general reductive
groups. In the first part of this paper, we present a counterexample to the existence of quadratic base change descent for
some Galois invariant representations. These are representations of type θ10. In the second part, we compute the localL-factor of θ10. Unlike many other supercuspidal representations, we find that theL-factor of θ10 has two poles. Finally, we discuss these two results in relation to the local Langlands correspondence.
The authors are supported in part by NSF grants. 相似文献
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Zeev Nutov 《Discrete Applied Mathematics》2013,161(13-14):2101-2106
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The I–graphs generalize the family of generalized Petersen graphs. We show that a connected I–graph which is not a generalized Petersen graph is Hamiltonian. 相似文献
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《European Journal of Operational Research》1998,106(1):160-164
The k L-list λ colouring of a graph G is an L-list colouring (with positive integers) where any two colours assigned to adjacent vertices do not belong to a set λ, where the avoided assignments are listed. Moreover, the length of the list L(x), for every vertex x of G, must be less than or equal to a positive integer k, where k is the number of colours. This problem is NP-complete and we present an efficient heuristic algorithm to solve it. A fundamental aspect of the algorithm we developed is a particular technique of backtracking that permits the direct reassignment of the vertices causing the conflict if, at the moment of assigning a colour to a vertex, no colour on the list associated to it is available. An application of this algorithm to the problem of assigning arriving or leaving trains to the available tracks at a railway station is also discussed. 相似文献