Báo cáo toán học: "Loose Hamilton Cycles in Random Uniform Hypergraphs" pps

... by the ETSI TC ITS, and first assess the feasibility of IPv6 multi-hop communications, by means of analysis and simulation. Then, we focus on the IPv6 address auto-configuration, explaining how IPv6 ... between the RSU and the CCUs within the RSU’s area of in uence (i.e., associated GVL area), and therefore extends the effective coverage area of the RSU...

Ngày tải lên: 20/06/2014, 20:20

... future of marine environmental assessment of contaminants will be closely linked to integrated monitoring - the combination of chemical monitoring and biological eects monitoring. Biological ... Abstract The biological eects monitoring plays an important role in marine monitoring. Contaminants and their eects on sh as well as on other marine organisms belong to the...

Ngày tải lên: 20/06/2014, 20:20

... incident with a common vertex. 3.2 Proof of Theorem 4 Let H be a Hamilton cycle chosen uniformly at random from the set of (n − 1)!/2 Hamilton cycles of K n .Let{(e i ,f i ): 1≤ i ≤ N} be an enumeration of ... Mathematics 62 (1986) 29-33. [8] L.P´osa ,Hamilton circuits in random graphs,Discrete Mathematics 14 (1976) 359-64. [9] P.Winkler, Private Communication. MULTICOLOURED HAMILTON...

Ngày tải lên: 07/08/2014, 06:20

... matchings and Hamiltonian cycles in random graphs. Annals of Discrete Mathematics 28 (1985) 23-46. [6] B. Bollob´as, T.I. Fenner and A.M. Frieze. An algorithm for finding Hamilton cycles in random graphs. ... Cooper. 1-pancyclic Hamilton cycles in random graphs. Random Structures and Algorithms 3.3 (1992) 277-287 [9] C. Cooper and A. Frieze. Pancyclic random graphs....

Ngày tải lên: 07/08/2014, 06:20

... order on the set of Young diagrams as follows: à if and only if there exists a sequence ν 1 ,ν 2 , ,ν k of Young diagrams such that LONGEST INCREASING SUBSEQUENCES OF RANDOM COLORED PERMUTATIONS Alexei ... the (centered and scaled) length of the longest increasing subsequence of random colored permutations. The limit distribution function is a power of that for...

Ngày tải lên: 07/08/2014, 06:20

... the dimension of joining. Then P must contain w disjoint bent cycles that partition the vertices of P . Each of these w cycles must contain a wrapped edge in P along the joining dimension. Further, ... we join the endpoints with red arrows pointing away from each other to create the new wrapped edges in G + P . We thus obtain a bent Hamilton cycle in Q  (5, 3, 3), and by repeated...

Ngày tải lên: 07/08/2014, 07:21

... then switching of edges in a strongly regular graph may produce another strongly regular graph. If switching of edges in a regular graph produces a regular graph then the corresponding partition ... merging of classes in the scheme of 2-orbits of this action of H. It was clear from the beginning that one of the resulting schemes will give the graph Θ, howev...

Ngày tải lên: 07/08/2014, 07:21

... maximum lengh of a cycle in unit circulant graphs on a Dedekind domain quotiented by an ideal with r distinct maximal factors. Dedekind domains are exactly those integral domains in which every ideal ... have a new induced k-cycle in X n , since we have not changed the coincidences between any of the rows in C. We now use the Observation 2.5 to define isomorphisms between induced...

Ngày tải lên: 07/08/2014, 13:21

... the following theorem. Theorem 2 Let 2n + 1 be a prime and F be the family of all minimum dominating sets of Γ(Z n 2n+1 , U). Every S ∈ F has a defining set of size at most n!2 n . The proof of ... 5 this case there are perfect dominating sets with defining number 2 (See Remark 3). So far there is no nontrivial bound known for the defining numbers of minimum dominat...

Ngày tải lên: 07/08/2014, 13:21

... in the d-dimensional torus of side length 2n+ 1 corresponds to an independent set in C d 2n+1 . (This correspondence between packings of cubes in the torus and independent sets in powers of odd ... classification of all maximum independent sets in powers of odd cycles of the form C d k2 d +1 . 1 Introduction Consider the following nat ura l packing probl...

Ngày tải lên: 07/08/2014, 21:21

... cycle space of locally finite in nite graphs. The topological cycle space C(G) of a locally finite gra ph G was introduced by Diestel and Kăuhn [10, 11]. It is built not just from finite cycles, but ... 1.2 in Section 4, after giving the required definitions and basic facts in Section 2 and showing that Proposition 1.1 holds for finite gra phs but not for in nite ones...

Ngày tải lên: 08/08/2014, 01:20

... contiguity, Combi- natorics Probability and Computing 4 (19 95) 369-405. [5] S. Janson and N. Wormald, Rainbow Hamilton cycles in random regular graphs, Random Structures Algorithms 30 (2007) 35-49. [6] ... If G ∗ contains a rainbow Hamilton cycle, then H contains a loose Hamilton cycle. We will use Theorem 2 to show that whp G ∗ contains an edge coloured graph that is close to...

Ngày tải lên: 08/08/2014, 11:20

... produces a non-trivially intersecting hypergraph while the second one is the same as the original process of Bohman et al. as long as it is possible that the process results a non-trivially intersecting ... hypergraph. Proposition 2.2 If an intersecting hypergraph H contains an r-tria ng le, then there is only one maximal intersecting hypergraph H ∗ containing H and H ∗ is a 2-3-h...

Ngày tải lên: 08/08/2014, 12:22

... T. Szab´o, Fast winning strategies in Avoider-Enforcer games, Graphs Combin., 25 (2009), 533–544. [7] D. Hefetz, M. Krivelevich, M. Stojakovi´c and T. Szab´o, Fast winning strategies in Maker-Breaker ... later Hefetz et al. [7] studied the fast winning in Maker-Breaker Hamiltonicity game. We would like to emphasize that, generally speaking, results on fast winning in...

Ngày tải lên: 08/08/2014, 12:22

... terminology. Let H be a random variable which counts the number of loose Hamilton cycles in Λ d such that the edges only intersect in X. Note that every such loose Hamilton cycle induces an ordinary ... Hamilton cycles in random 3 -uniform hypergraphs, Electronic Jour- nal of Combinatorics 17 (2010), N28. [5] A.M. Frieze, M. Jerrum, M. Molloy, R. Robinson and N. Wormald,...

Ngày tải lên: 08/08/2014, 12:23