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We discuss various bifurcation problems in which two isolated periodic orbits exchange periodic ``bridge'' orbit(s) between two successive bifurcations. We propose normal forms which locally describe the corresponding fixed point scenarios…

混沌动力学 · 物理学 2008-09-04 Ken-ichiro Arita , Matthias Brack

We demonstrate how analysis of co-clustering in bipartite networks may be used as a bridge to connect, compare and complement clustering results about community structure in two different spaces: single-mode bipartite network projections.…

数字图书馆 · 计算机科学 2020-03-24 Vasyl Palchykov , Yurij Holovatch

The lack of data on critical infrastructure systems has hindered the research progress in modeling and optimizing the system performance. This work develops a method for generating Synthetic Interdependent Critical Infrastructure Networks…

物理与社会 · 物理学 2022-06-29 Yu Wang , Jin-Zhu Yu , Hiba Baroud

In this paper, we demonstrate that the complete hyperbolic structure of various two-bridge knots and links cannot be deformed to an inequivalent strictly convex projective structure. We also prove a complementary result showing that under…

几何拓扑 · 数学 2014-11-26 Samuel A. Ballas

We introduce several algebraic structures related to handlebody-knots, including $G$-families of biquandles, partially multiplicative biquandles and group decomposable biquandles. These structures can be used to color the semiarcs in…

几何拓扑 · 数学 2016-04-27 Atsushi Ishii , Sam Nelson

We give a complete characterization of the possible response matrices at a fixed frequency of n-terminal electrical networks of inductors, capacitors, resistors and grounds, and of n-terminal discrete linear elastodynamic networks of…

材料科学 · 物理学 2009-11-13 Graeme W. Milton , Pierre Seppecher

One of the most important challenges in network science is to quantify the information encoded in complex network structures. Disentangling randomness from organizational principles is even more demanding when networks have a multiplex…

In this paper we present the first algorithm in the streaming model to characterize completely the biconnectivity properties of undirected networks: articulation points, bridges, and connected and biconnected components. The motivation of…

数据结构与算法 · 计算机科学 2020-06-16 Giorgio Ausiello , Donatella Firmani , Luigi Laura

In this paper, we consider generalizations of the Alexander polynomial and signature of 2-bridge knots by considering the Gordon-Litherland bilinear forms associated to essential state surfaces of the 2-bridge knots. We show that the…

几何拓扑 · 数学 2017-10-30 Cynthia L. Curtis , Vincent Longo

We present a formulation of the determination of the impedance between any two nodes in an impedance network. An impedance network is described by its Laplacian matrix L which has generally complex matrix elements. We show that by solving…

数学物理 · 物理学 2009-11-11 W. J. Tzeng , F. Y. Wu

This research work introduces the structure of invariant and screen semi-invariant lightlike submanifolds of a metallic semi-Riemannian manifold with a quarter symmetric non-metric connection, elaborated with examples. It delves into the…

微分几何 · 数学 2023-10-19 Jasleen Kaur , Rajinder Kaur

Understanding ideal points in the character varieties of knot complements has led to a number of important invariants for 3-manifolds. Ohtsuki (1994) counted the ideal points for character varieties of 2-bridge knot complements, and he made…

几何拓扑 · 数学 2026-05-22 Cynthia L. Curtis , Kendra Ebke , Kate O'Connor

Existing network embedding approaches tackle the problem of learning low-dimensional node representations. However, networks can also be seen in the light of edges interlinking pairs of nodes. The broad goal of this paper is to introduce…

社会与信息网络 · 计算机科学 2020-11-12 Giuseppe Pirrò

Many network analysis and graph learning techniques are based on models of random walks which require to infer transition matrices that formalize the underlying stochastic process in an observed graph. For weighted graphs, it is common to…

统计方法学 · 统计学 2022-10-28 Vincenzo Perri , Luka V. Petrović , Ingo Scholtes

This is a supplement to the article "Markov Chain Monte Carlo Based on Deterministic Transformations" available at http://arxiv.org/abs/1106.5850

统计计算 · 统计学 2013-07-01 Somak Dutta , Sourabh Bhattacharya

We compute the bridge spectra of cables of 2-bridge knots. We also give some results about bridge spectra and distance of Montesinos knots.

几何拓扑 · 数学 2017-06-13 Nicholas Owad

Testing a graph on 2-vertex- and 2-edge-connectivity are two fundamental algorithmic graph problems. For both problems, different linear-time algorithms with simple implementations are known. Here, an even simpler linear-time algorithm is…

数据结构与算法 · 计算机科学 2012-09-05 Jens M. Schmidt

This paper presents an optimization approach for a system consisting of multiple bidirectional links over a two-way amplify-and-forward relay. It is desired to improve the fairness of the system. All user pairs exchange information over one…

信息论 · 计算机科学 2016-11-18 Guido Dartmann , Ehsan Zandi , Gerd Ascheid

This work is devoted to the study of integration with respect to binomial measures. We develop interpolatory quadrature rules and study their properties. Local error estimates for these rules are derived in a general framework.

数值分析 · 数学 2008-03-19 Francesco Calabró , Antonio Corbo Esposito

In the breakthrough paper [V. Mu\~noz, A Smale-Barden manifold admitting K-contact but not Sasakian structure, 2024, 10.4171/JEMS/1496], it is constructed the first example of a simply connected compact 5-manifold (aka.\ Smale-Barden…

辛几何 · 数学 2025-03-18 Vicente Muñoz , Juan Rojo