arXiv Open Access 2014

On computational complexity of length embeddability of graphs

Mikhail Tikhomirov
Lihat Sumber

Abstrak

A graph $G$ is embeddable in $\mathbb{R}^d$ if vertices of $G$ can be assigned with points of $\mathbb{R}^d$ in such a way that all pairs of adjacent vertices are at the distance 1. We show that verifying embeddability of a given graph in $\mathbb{R}^d$ is NP-hard in the case $d > 2$ for all reasonable notions of embeddability.

Topik & Kata Kunci

Penulis (1)

M

Mikhail Tikhomirov

Format Sitasi

Tikhomirov, M. (2014). On computational complexity of length embeddability of graphs. https://arxiv.org/abs/1410.5555

Akses Cepat

Lihat di Sumber
Informasi Jurnal
Tahun Terbit
2014
Bahasa
en
Sumber Database
arXiv
Akses
Open Access ✓