Network, Metallic, and Monatomic Structures
Covalent network structures are completely different beasts - they're giant lattices where atoms are connected by strong covalent bonds throughout the entire structure. Boron, carbon, and silicon form these networks, resulting in incredibly high melting points because you'd need to break loads of strong bonds to melt them.
Metallic structures consist of positive metal ions surrounded by a "sea" of delocalised electrons. The metals lithium, beryllium, sodium, magnesium, aluminium, and calcium all have this structure. These free-moving electrons make metals excellent electrical conductors - it's like having a motorway for electric current.
Monatomic structures are the loners of chemistry - individual atoms held together only by weak intermolecular forces. The noble gases (helium, neon, argon) exist this way because they already have full outer electron shells, so they don't bother forming bonds with other atoms.
Remember: The stronger the bonds holding a structure together, the higher its melting point will be. Network > metallic > molecular > monatomic.