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Graph Theory and Algorithms for Network Analysis [PDF]
E3S Web of Conferences, 2023 In network analysis, the study and comprehension of complex systems in numerous fields, such as social networks, transportation networks, and biological networks, are made possible by the crucial role played by graph theory and algorithms.
Arul Sharmila Mary +5 more
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Graph theory methods for analyzing functional connectivity in multiple spike trains: application to data recorded from the visual cortex of a cat. [PDF]
Cogn NeurodynMasud MS +3 more
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On minimal blocking sets of the generalized quadrangle $Q(4, q)$ [PDF]
Discrete Mathematics & Theoretical Computer Science, 2005 The generalized quadrangle $Q(4,q)$ arising from the parabolic quadric in $PG(4,q)$ always has an ovoid. It is not known whether a minimal blocking set of size smaller than $q^2 + q$ (which is not an ovoid) exists in $Q(4,q)$, $q$ odd. We present results
Miroslava Cimráková, Veerle Fack
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Hadamard matrices of order 36 and double-even self-dual [72,36,12] codes [PDF]
Discrete Mathematics & Theoretical Computer Science, 2005 Before this work, at least 762 inequivalent Hadamard matrices of order 36 were known. We found 7238 Hadamard matrices of order 36 and 522 inequivalent [72,36,12] double-even self-dual codes which are obtained from all 2-(35,17,8) designs with an ...
Iliya Bouyukliev +2 more
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On the enumeration of uniquely reducible double designs [PDF]
Discrete Mathematics & Theoretical Computer Science, 2005 A double $2$-$(v,k,2 \lambda)$ design is a design which is reducible into two $2$-$(v,k,\lambda)$ designs. It is called uniquely reducible if it has, up to equivalence, only one reduction.
Veerle Fack +2 more
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On (a,d)-antimagic labelings of Hn, FLn and mCn
Indonesian Journal of Combinatorics, 2020 In this paper, we derive the necessary condition for an (a,d )- antimagic labeling of some new classes of graphs such as Hn, F Ln and mCn. We prove that Hn is (7n +2, 1)-antimagic and mCn is ((mn+3)/2,1)- antimagic.
Ramalakshmi Rajendran, K. M. Kathiresan
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A Graph Rewriting Approach for Transformational Design of Digital Systems [PDF]
, 1996 Transformational design integrates design and verification. It combines “correctness by construction” and design creativity by the use of pre-proven behaviour preserving transformations as design steps.
Huijs, Corrie
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Confluence theory for graphs [PDF]
Algebraic & Geometric Topology, 2007 We develop a theory of confluence of graphs. We describe an algorithm for proving that a given system of reduction rules for abstract graphs and graphs in surfaces is locally confluent. We apply this algorithm to show that each simple Lie algebra of rank at most 2, gives rise to a confluent system of reduction rules of graphs (via Kuperberg's spiders ...
Sikora, Adam, Westbury, Bruce
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Problem-based scaffolding for prospective mathematics teachers in graph theory course
International Journal of Trends in Mathematics Education Research, 2023 This study aimed to give a scaffolding process to improve the preservice teachers' ability in graph theory class. The present study implemented scaffolding techniques by administering graph theory questions.
Yunita Oktavia Wulandari +2 more
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Application of practice-based learning in graph theory
International Journal of Trends in Mathematics Education Research, 2023 Learning graph theory is an important topic in the world of mathematics and computer science. However, students often face difficulties in understanding the concepts and practical application of graph theory. Therefore, this study aims to apply practicum-
Marhadi Saputro, Iwit Prihatin
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