مشخصات پژوهش

خانه /Refining Directed Graphs for ...
عنوان
Refining Directed Graphs for Spectral Analysis through Strategic Topological Modifications
نوع پژوهش مقالات در همایش ها
کلیدواژه‌ها
Graph Fourier transform, Directed graph, Eigendecomposition, Jordan form
چکیده
—In graph signal processing, the absence of a welldefined graph Fourier transform complicates spectral analysis on directed graphs. To address this, we propose a technique that subtly modifies the graph’s topology, making minimal changes to facilitate spectral analysis. Our approach starts by adding edges to eliminate sources and sinks, followed by identifying connections that impede the non-singularity and diagonalizability of the adjacency matrix. We then make minor edge weight adjustments to achieve diagonalizability, ensuring efficient spectral analysis of graph signals defined on directed graph.
پژوهشگران لیدیجا وکسانوویچ (نفر اول)، علی باقری بردی (نفر دوم)، میلوش داکوویچ (نفر سوم)، طاهر یزدان پناه (نفر چهارم)، لوبیشا استانکوویچ (نفر پنجم)