avoiding unnecessary traffic with vlans

given a classic vlan setup, like so:
host1--vlan1----\ /--vlan1
- switch1----switch2 -
host2--vlan2----/ \--vlan2---router

in other words two switches which both are configured with vlan1 and vlan2.
if two hosts on the different vlans (host1 and host2) are to communicated
with each other, they have to pass through the router. which in this
picture is on the other end of the network.

which means a lot of unnecessary traffic travelling between switch1 and
switch2, as all packets between the two vlans have to pass through the router.

what alternatives are there to fixing this problem? i can only think of
very kludgey solutions. or a complete network redesign, which isnt an option.


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