techniques that enable computing devices to process graph data with
little resources (time, space, communication overhead, etc.). This led
to extensive studies of graph algorithms in various models of
computation (sequential algorithms, distributed algorithms, streaming
algorithms, etc.) by many sub-communities. "Cross-paradigm graph
algorithms" is an effort to attack the same problem in many models of
computation simultaneously, intending to generate new insights that may
not emerge from the isolated viewpoint of a single model and to
ultimately develop techniques that can be used to solve graph problems
near-optimally across many models of computation.
In this talk, I will discuss some recent advances in graph algorithmic
techniques for basic graph problems (e.g. minimum cut, shortest path,
and maximum flow) in connection to this research program, especially
some insights that led to cross-paradigm algorithms and to answering
notorious open questions.