English

Fractional Pebbling Game Lower Bounds

Computational Complexity 2013-05-29 v1 Data Structures and Algorithms

Abstract

Fractional pebbling is a generalization of black-white pebbling introduced recently. In this reasearch paper we solve an open problem by proving a tight lower bound on the pebble weight required to fractionally pebble a balanced d-ary tree of height h. This bound has close ties with branching programs and the separation of P from NL.

Cite

@article{arxiv.1305.6376,
  title  = {Fractional Pebbling Game Lower Bounds},
  author = {Frank Vanderzwet},
  journal= {arXiv preprint arXiv:1305.6376},
  year   = {2013}
}

Comments

Graduate Research Paper for University of Toronto. Completion of paper assisted by Professor Stephen Cook and Professor Toniann Pitassi

R2 v1 2026-06-22T00:23:33.235Z