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Relevant bibliographies by topics / Bouquet of circles

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Academic literature on the topic 'Bouquet of circles'

Author: Grafiati

Published: 4 June 2021

Last updated: 3 February 2022

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Journal articles on the topic "Bouquet of circles"

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Kim, Jin Hwan, and Young Kou Park. "Incongruent embeddings of a bouquet into surfaces." Bulletin of the Australian Mathematical Society 61, no. 1 (2000): 89–96. http://dx.doi.org/10.1017/s0004972700022048.

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Two 2-cell embeddings i, j of a graph G into surfaces  and ′ are said to be congruent with respect to a subgroup Γ of Aut(G) if there are a homeomorphism h:  → ′ and an automorphism γ ∈ Γ such that h ∘ i = j ∘ γ. In this paper, we compute the total number of congruence classes of 2-cell embeddings of any bouquet of circles into surfaces with respect to a group consisting of graph automorphisms of a bouquet.

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Kimura, Takashi. "Dimensions of topological groups containing the bouquet of two circles." Proceedings of the American Mathematical Society 114, no. 4 (1992): 1109. http://dx.doi.org/10.1090/s0002-9939-1992-1079892-7.

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Kwak, Jin Ho, Jaeun Lee, and Alexander Mednykh. "Enumerating Branched Surface Coverings from Unbranched Ones." LMS Journal of Computation and Mathematics 6 (2003): 89–104. http://dx.doi.org/10.1112/s1461157000000395.

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AbstractThe number of non-isomorphic n-fold branched coverings of a given closed surface can be determined by the number of nonisomorphic n-fold unbranched coverings of the surface and the number of nonisomorphic connected n-fold graph coverings of a suitable bouquet of circles. A similar enumeration can also be done for regular branched coverings. Some explicit enumerations are also possible.

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Llibre, Jaume, and Michael Todd. "Periods, Lefschetz numbers and entropy for a class of maps on a bouquet of circles." Journal of Difference Equations and Applications 11, no. 12 (2005): 1049–69. http://dx.doi.org/10.1080/10236190500331230.

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MARKUS-EPSTEIN, L. "STALLINGS FOLDINGS AND SUBGROUPS OF AMALGAMS OF FINITE GROUPS." International Journal of Algebra and Computation 17, no. 08 (2007): 1493–535. http://dx.doi.org/10.1142/s0218196707003846.

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Stallings showed that every finitely generated subgroup of a free group is canonically represented by a finite minimal immersion of a bouquet of circles. In terms of the theory of automata, this is a minimal finite inverse automaton. This allows for the deep algorithmic theory of finite automata and finite inverse monoids to be used to answer questions about finitely generated subgroups of free groups. In this paper, we attempt to apply the same methods to other classes of groups. A fundamental new problem is that the Stallings folding algorithm must be modified to allow for "sewing" on relati

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MARGOLIS, STUART W., and JOHN C. MEAKIN. "FREE INVERSE MONOIDS AND GRAPH IMMERSIONS." International Journal of Algebra and Computation 03, no. 01 (1993): 79–99. http://dx.doi.org/10.1142/s021819679300007x.

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The relationship between covering spaces of graphs and subgroups of the free group leads to a rapid proof of the Nielsen-Schreier subgroup theorem. We show here that a similar relationship holds between immersions of graphs and closed inverse submonoids of free inverse monoids. We prove using these methods, that a closed inverse submonoid of a free inverse monoid is finitely generated if and only if it has finite index if and only if it is a rational subset of the free inverse monoid in the sense of formal language theory. We solve the word problem for the free inverse category over a graph Γ.

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Gross, Jonathan L., David P. Robbins, and Thomas W. Tucker. "Genus distributions for bouquets of circles." Journal of Combinatorial Theory, Series B 47, no. 3 (1989): 292–306. http://dx.doi.org/10.1016/0095-8956(89)90030-0.

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Kwak, Jin Ho, and Sang Ho Shim. "Total embedding distributions for bouquets of circles." Discrete Mathematics 248, no. 1-3 (2002): 93–108. http://dx.doi.org/10.1016/s0012-365x(01)00187-x.

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9

Narbel, Philippe. "Bouquets of circles for lamination languages and complexities." RAIRO - Theoretical Informatics and Applications 48, no. 4 (2014): 391–418. http://dx.doi.org/10.1051/ita/2014016.

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Ong, Boon W. "The Homotopy Type of the Symmetric Products of Bouquets of Circles." International Journal of Mathematics 14, no. 05 (2003): 489–97. http://dx.doi.org/10.1142/s0129167x03001892.

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A wedge of k circles is homotopy equivalent to the plane with k points removed. By looking at [Formula: see text]∖{w1, …, wk} instead of ⋁k S1, we could view the symmetric product of a wedge of k circles as [Formula: see text], the complement space [3] of a hyperplane arrangement, [Formula: see text]. Applying a theorem of Hattori [2], we see that if k > n, the symmetric product of ⋁k S1 is, up to homotopy, the union of n-dimensional subtorii in a k-torus.

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Dissertations / Theses on the topic "Bouquet of circles"

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Callor, Nickolas Brenten. "Pro-Covering Fibrations of the Hawaiian Earring." BYU ScholarsArchive, 2014. https://scholarsarchive.byu.edu/etd/4324.

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Let H be the Hawaiian Earring, and let H denote its fundamental group. Assume (Bi) is an inverse system of bouquets of circles whose inverse limit is H. We give an explicit bijection between finite normal covering spaces of H and finite normal covering spaces of Bi. This bijection induces a correspondence between a certain family of inverse sequences of these covering spaces. The correspondence preserves the inverse limit of these sequences, thus offering two methods of constructing the same limit. Finally, we characterize all spaces that can be obtained in this fashion as a particular type of

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Books on the topic "Bouquet of circles"

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Circle Bouquet Wedding Bulletin: Package of 100. Standard 11 X 8 1/2 Unfolded. Concordia Publishing House, 2000.

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