Is it possible to skip the use of a router to get wireless from imac to macbook? (both osx10.5.8)

Current setup is my imac (osk 10.5.8) is plugged into my dlink router. Wife gets her connection for her macbook (aslo osx 10.5.8) wirelessly from the router.
Is it possible to skip the use of a router? That is, plug the ISP's inbound cable to my mac and somehow my wife's macbook be able to wireless connect to my iMac?
Just looking to get around the router that is a possible cause for slowness.

Some sort of router is needed for both of you to share the cable service. Is the router yours or part of the cable modem provided by the cable company? If the latter ask the cable company to service the device to be sure everything is working properly. If you have a separate modem and the router is yours, then replace it.
Why do you believe your wireless is slow?
I would also consider upgrading your computers' OS X.
Upgrading to Snow Leopard
You can purchase Snow Leopard through the Apple Store: Mac OS X 10.6 Snow Leopard - Apple Store (U.S.). The price is $19.99 plus tax. You will be sent physical media by mail after placing your order.
After you install Snow Leopard you will have to download and install the Mac OS X 10.6.8 Update Combo v1.1 to update Snow Leopard to 10.6.8 and give you access to the App Store. Access to the App Store enables you to download Mountain Lion if your computer meets the requirements.
     Snow Leopard General Requirements
       1. Mac computer with an Intel processor
       2. 1GB of memory
       3. 5GB of available disk space
       4. DVD drive for installation
       5. Some features require a compatible Internet service provider;
           fees may apply.
       6. Some features require Apple’s MobileMe service; fees and
           terms apply.

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