Relevant bibliographies by topics / Menger's theorem

Contents

  1. Journal articles
  2. Dissertations / Theses
  3. Books
  4. Book chapters
  5. Conference papers

Academic literature on the topic 'Menger's theorem'

Author: Grafiati
Published: 4 June 2021
Last updated: 16 February 2022

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Journal articles on the topic "Menger's theorem"

1

Böhme, T., F. Göring, and J. Harant. "Menger's Theorem." Journal of Graph Theory 37, no. 1 (2001): 35–36. http://dx.doi.org/10.1002/jgt.1001.

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Göring, F. "Short proof of Menger's Theorem." Discrete Mathematics 219, no. 1-3 (2000): 295–96. http://dx.doi.org/10.1016/s0012-365x(00)00088-1.

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Aharoni, Ron. "Menger's theorem for countable graphs." Journal of Combinatorial Theory, Series B 43, no. 3 (1987): 303–13. http://dx.doi.org/10.1016/0095-8956(87)90006-2.

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Egawa, Yoshimi, Atsushi Kaneko, and Makoto Matsumoto. "A mixed version of Menger's theorem." Combinatorica 11, no. 1 (1991): 71–74. http://dx.doi.org/10.1007/bf01375475.

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Göring, Frank. "A proof of Menger's Theorem by contraction." Discussiones Mathematicae Graph Theory 22, no. 1 (2002): 111. http://dx.doi.org/10.7151/dmgt.1161.

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Aharoni, Ron, and Reinhard Diestel. "Menger's Theorem for a Countable Source Set." Combinatorics, Probability and Computing 3, no. 2 (1994): 145–56. http://dx.doi.org/10.1017/s0963548300001073.

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Paul Erdős has conjectured that Menger's theorem extends to infinite graphs in the following way: whenever A, B are two sets of vertices in an infinite graph, there exist a set of disjoint A−B paths and an A−B separator in this graph such that the separator consists of a choice of precisely one vertex from each of the paths. We prove this conjecture for graphs that contain a set of disjoint paths to B from all but countably many vertices of A. In particular, the conjecture is true when A is countable.
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Bruhn, Henning, Reinhard Diestel, and Maya Stein. "Menger's theorem for infinite graphs with ends." Journal of Graph Theory 50, no. 3 (2005): 199–211. http://dx.doi.org/10.1002/jgt.20108.

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Bagchi, Amitabha, Amitabh Chaudhary, and Petr Kolman. "Short length Menger's theorem and reliable optical routing." Theoretical Computer Science 339, no. 2-3 (2005): 315–32. http://dx.doi.org/10.1016/j.tcs.2005.03.009.

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Su, Xiang-Ying. "Some generalizations of Menger's theorem concerning arc-connected digraphs." Discrete Mathematics 175, no. 1-3 (1997): 293–96. http://dx.doi.org/10.1016/s0012-365x(96)00129-x.

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Sampathkumar, E. "A generalization of Menger's theorem for certain unicyclic graphs." Graphs and Combinatorics 8, no. 4 (1992): 377–80. http://dx.doi.org/10.1007/bf02351593.

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Dissertations / Theses on the topic "Menger's theorem"

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Barros, Marcos Barbosa de. "Fundamentos de conectividade para o ensino médio e aplicações dos teoremas de Menger e Festinger." Universidade Federal de Sergipe, 2015. https://ri.ufs.br/handle/riufs/6489.

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Coordenação de Aperfeiçoamento de Pessoal de Nível Superior - CAPES<br>The present dissertation aims to introduce students to high school useful math concepts connectivity problems using graph theory. After the explanation of basic concepts, we introduce the notion of connectedness, Mengers theorem and we present the theorem of Festinger, which is a useful tool for path counts. We also present an application of these concepts in the analysis of electrical sub-distribution network in the state of Sergipe. Finally we conclude this work by suggesting some didactic sequences for high school
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Lin, Su-chin, and 林素貞. "A FIXED POINT THEOREM IN MENGER SPACES." Thesis, 2003. http://ndltd.ncl.edu.tw/handle/88418895357133060333.

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碩士<br>國立新竹教育大學<br>進修部數理教育碩士班(數學組)<br>92<br>In this paper, we prove a fixed point theorem for set-valued mapping from a Menger space (X, □, t) into K(X) with a contractive condition. This fixed point theorem is a new result about Hausdorff measure on Menger space.
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Chang, Li-Chien, and 張豊傑. "A common fixed point theorem in compact menger spaces." Thesis, 2003. http://ndltd.ncl.edu.tw/handle/06189470866136944608.

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碩士<br>國立新竹教育大學<br>進修部數理教育碩士班(數學組)<br>92<br>In the paper we prove a contractive type common fixed point theorem for four self-mappings in a Menger space （X,F,t ） . This theorem in fact extends some results of common fixed point theorems for the case that X is a metric space.
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LI-CHIEH, CHANG, and 張豊傑. "A COMMON FIXED POINT THEOREM IN COMPACT MENGER SPACES." Thesis, 2003. http://ndltd.ncl.edu.tw/handle/75478440562978738857.

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碩士<br>國立新竹師範學院<br>數理教育碩士班數學組<br>92<br>In the paper we prove a contractive type common fixed point theorem for four self-mappings in a Menger space（ F, ）. This theorem in fact extends some results of common fixed point theorems for the case that X is a metric space.
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Hong, Chung-chien, and 洪宗乾. "Some Common Fixed Ponint Theorems in Menger Spaces." Thesis, 1996. http://ndltd.ncl.edu.tw/handle/84752953517087618381.

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碩士<br>國立成功大學<br>應用數學系<br>84<br>Menger 空間為 probabilistic metric space 的子集(PM空間). PM空間 是將原本一定的距離便成機率性的關係.既是任意兩點x與y用一分配函數 F_{x,y}(ε)來代表x與y的距離小於ε的機率是多少(在Appendix的 Introduction中對Menger空間有更詳細的敘述).而有關PM空間中討論定點 問題,其共有二個主要的結果.在第一章是將黃永裕老師在Menger空間中的 定理cf[4]改成再度量空間上.第二章亦是黃永裕老師的一個定理cf[5],做 一些條件上的放鬆而得到的結果. This paper Consists of two main results. In chapter 1, we obtain a reduce form in metric spaces for Huang's result which is described in complete Menger spaces.In chapter
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Hong, Zong Gan, and 洪宗乾. "Some common fixed point theorems in menger spaces." Thesis, 1996. http://ndltd.ncl.edu.tw/handle/68672967172743646591.

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陳榴明. "COMMON FIXED POINT THEOREM FOR SET-VALUED MAPPINGS IN MENGER SPACES." Thesis, 2003. http://ndltd.ncl.edu.tw/handle/04898075478171543425.

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碩士<br>國立新竹教育大學<br>進修部數理教育碩士班(數學組)<br>92<br>In this paper, we shall prove a common fixed point theorem in probabilistic metric space of set-valued functions with　-contractive condition, which generalize some results of V.M. Sehgal & A.T. Bharucha-Reid [12].
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Kuo, Tian-Yuan, and 郭添源. "Some Fixed Point Theorems in Metric Linear Spaces and Menger Spaces." Thesis, 1993. http://ndltd.ncl.edu.tw/handle/08988699053162712207.

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Books on the topic "Menger's theorem"

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Analytic capacity, rectifiability, Menger curvature and the Cauchy integral. Springer, 2002.

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Coyne, Christopher J., and Peter Boettke, eds. The Oxford Handbook of Austrian Economics. Oxford University Press, 2015. http://dx.doi.org/10.1093/oxfordhb/9780199811762.001.0001.

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The Oxford Handbook of Austrian Economics provides an overview of the main methodological, analytical, and practical implications of the Austrian school of economics. This intellectual tradition in economics and political economy has a long history that dates back to Carl Menger in the late nineteenth century. The various contributions discussed in this book all reflect this "tension" of an orthodox argumentative structure (rational choice and invisible hand) to address heterodox problem situations (uncertainty, differential knowledge, ceaseless change).The Austrian economists, from the founde
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1950-, Priddat Birger P., ed. Wert, Meinung, Bedeutung: Die Tradition der subjektiven Wertlehre in der deutschen Nationalökonomie vor Menger. Metropolis, 1997.

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Book chapters on the topic "Menger's theorem"

1

Downey, Rodney G., and Michael R. Fellows. "Appendix 2: Menger’s Theorems." In Texts in Computer Science. Springer London, 2013. http://dx.doi.org/10.1007/978-1-4471-5559-1_35.

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Recski, András. "The theorems of König and Menger." In Algorithms and Combinatorics. Springer Berlin Heidelberg, 1989. http://dx.doi.org/10.1007/978-3-662-22143-3_5.

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Pajot, Hervé. "2. P. Jones’ traveling salesman theorem." In Analytic Capacity, Rectifiability, Menger Curvature and the Cauchy Integral. Springer Berlin Heidelberg, 2002. http://dx.doi.org/10.1007/978-3-540-36074-2_2.

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Mbarki, Abderrahim, and Rachid Oubrahim. "Common Fixed Point Theorems in b-Menger Spaces." In Recent Advances in Intuitionistic Fuzzy Logic Systems. Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-030-02155-9_22.

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Aharoni, Ron. "A Few Remarks on a Conjecture of Erdős on the Infinite Version of Menger’s Theorem." In Algorithms and Combinatorics. Springer Berlin Heidelberg, 1997. http://dx.doi.org/10.1007/978-3-642-60406-5_34.

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Aharoni, Ron. "A Few Remarks on a Conjecture of Erdős on the Infinite Version of Menger’s Theorem." In The Mathematics of Paul Erdős II. Springer New York, 2013. http://dx.doi.org/10.1007/978-1-4614-7254-4_21.

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Tolsa, Xavier. "The Cauchy transform and Menger curvature." In Analytic Capacity, the Cauchy Transform, and Non-homogeneous Calderón–Zygmund Theory. Springer International Publishing, 2013. http://dx.doi.org/10.1007/978-3-319-00596-6_5.

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Streissler, E. W. "Menger, Böhm-Bawerk, and Wieser: The Origins of the Austrian School." In Neoclassical Economic Theory, 1870 to 1930. Springer Netherlands, 1990. http://dx.doi.org/10.1007/978-94-009-2181-8_5.

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Brochet, J. M., and M. Pouzet. "Two Extremal Problems in Infinite Ordered Sets and Graphs: Infinite Versions of Menger and Gallai-Milgram Theorems for Ordered Sets and Graphs." In Cycles and Rays. Springer Netherlands, 1990. http://dx.doi.org/10.1007/978-94-009-0517-7_6.

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Aharoni, R., and R. Diestel. "Menger's Theorem for a Countable Source Set." In Combinatorics, Geometry and Probability. Cambridge University Press, 1997. http://dx.doi.org/10.1017/cbo9780511662034.005.

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Conference papers on the topic "Menger's theorem"

1

Galil, Zvi, and Xiangdong Yu. "Short length versions of Menger's theorem." In the twenty-seventh annual ACM symposium. ACM Press, 1995. http://dx.doi.org/10.1145/225058.225267.

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Bagchi, Amitabha, Amitabh Chaudhary, and Petr Kolman. "Short length menger's theorem and reliable optical routing." In the fifteenth annual ACM symposium. ACM Press, 2003. http://dx.doi.org/10.1145/777412.777453.

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Giesen, Joachim. "Curve reconstruction, the traveling salesman problem and Menger's theorem on length." In the fifteenth annual symposium. ACM Press, 1999. http://dx.doi.org/10.1145/304893.304973.

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Han, Guangyue. "Menger's paths with minimum mergings." In 2009 IEEE Information Theory Workshop on Networking and Information Theory (ITW). IEEE, 2009. http://dx.doi.org/10.1109/itwnit.2009.5158585.

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