Documents

Beyond Topology: Deterministic and Order-Preserving Graph Visualization with the Keçeci Layout

Mehmet Keçeci1 1ORCID : https://orcid.org/0000-0001-9937-9839, İstanbul, Türkiye

Received: 03.07.2025

Özet/Abstract:

The visualization of scientific data is a fundamental step in uncovering hidden patterns and relationships within complex systems. While conventional force-directed graph layout algorithms (e.g., spring layout) are effective at displaying the general topology and clustering tendencies of ...

Keçeci Deterministic Zigzag Layout (Keçeci Zigzag Layout Algorithm, Keçeci Layout) is a deterministic node layout algorithm designed for graph visualization in Python. Its primary purpose is to position the nodes of a graph in a predefined, sequential, and repeatable manner. The algorithm processes nodes sequentially, placing them along a user-defined primary axis (e.g., top-down or left-to-right) while applying an offset on the secondary axis in a zigzag pattern. This zigzag pattern helps prevent ...

Many systems encountered in nature and engineering exhibit complex and hierarchical geometric structures. Fractal geometry provides a powerful tool for understanding and modeling these structures. However, existing deterministic circle packing fractals, such as the Apollonian gasket, often adhere to fixed geometric rules and may fall short in accurately reflecting the diversity of observed structures. Addressing the need for greater flexibility in modeling physical and mathematical systems, this ...

This study comprehensively examines the profound technological and methodological synergies existing between observations made via interferometric detectors such as LIGO and Virgo, which have revolutionized the field of gravitational wave (GW) astrophysics, and the rapidly advancing quantum computing (QC) technologies. As both disciplines aim to perform measurements pushing the limits of precision, the effective control and mitigation of environmental and quantum-originated noise pose a critical ...

Nodal-line semimetals constitute a fascinating subclass within the family of topological materials in condensed matter physics. These unique materials are characterized by the intersection of their electronic energy bands along one or more closed or open lines within the Brillouin Zone, rather than at isolated points. These lines of intersection are termed "nodal lines," and along these lines, electrons can behave as if they were massless, leading to extraordinary electronic properties. The ...

Weyl semimetals (WSMs) have emerged as one of the most groundbreaking discoveries in condensed matter physics in recent years, deepening our fundamental scientific understanding and opening new horizons for future technologies. These materials are named after Hermann Weyl, who in 1929 predicted Weyl fermions – massless, chiral relativistic particles. WSMs, as low-energy excitations of these fermions in solid-state systems, possess special points in their electronic band structure where bands cross ...