Vizing's celebrated theorem states that every simple graph with maximum degree Δ admits a
(Δ+ 1) edge coloring which can be found in O (m· n) time on n-vertex m-edge graphs. This is …

We present a new dynamic matching sparsification scheme. From this scheme we derive a
framework for dynamically rounding fractional matchings against adaptive adversaries …

Recent papers have addressed different variants of the (Δ+ 1)-edge-colouring problem by
concatenating or gluing together many Vizing chains to form what Bernshteyn coined multi …

Graph databases (GDBs) are crucial in academic and industry applications. The key
challenges in develo** GDBs are achieving high performance, scalability …

Vizing's theorem states that any graph of maximum degree Δ can be properly edge colored
with at most Δ+ 1 colors. In the online setting, it has been a matter of interest to find an …

We present a framework for deterministically rounding a dynamic fractional matching.
Applying our framework in a black-box manner on top of existing fractional matching …

Graph processing has become an important part of various areas of computing, including
machine learning, medical applications, social network analysis, computational sciences …

Graph processing has become an important part of various areas of computing, including
machine learning, medical applications, social network analysis, computational sciences …

Nearly thirty years ago, Bar-Noy, Motwani and Naor [IPL'92] conjectured that an online (1+ o
(1)) Δ-edge-coloring algorithm exists for n-node graphs of maximum degree Δ= ω (log n) …

Nearly three decades ago, Bar-Noy, Motwani and Naor showed that no online edge-coloring
algorithm can edge color a graph optimally. Indeed, their work, titled" the greedy algorithm is …