(An update is below the pictures.)

We just moved to our house in November and had to buy a new dishwasher. We had installers install it for us. A couple of months ago, we started noticing a bad odor around the kitchen sink area, and we couldn't pinpoint what was causing it. A couple of weeks ago we noticed the smell was triggered when we started running the dishwasher but not all the time.

The other day, I placed a cup of vinegar in the dishwasher and ran it, and there was no smell during that cycle. It returned when we filled it with dishes and ran it later that day.

I have noticed the smell at times when I walk into the house after going out. I have also noticed it at our laundry closet, which on the other side of the room of the kitchen. We did have a plumber come out once before we figured out a trigger for it, but he didn't find anything. Of course, the smell wasn't triggered, either.

We're on the city water lines and sewer. I'm attaching pictures of our kitchen sink drainage system. I really want to know how to get rid of this odor once and for all. Apparently, the house has a very potent smell at this moment but I'm not there right now, and the dishwasher is not running.

Update

One of the answers below suggested that the action of the dishwasher draining would siphon the water from the other P-traps. After conducting a test, I concluded that this was not happening. After running the dishwasher, I double-checked the two other P-traps. They were full of water, so I accepted that even though the configuration is not standard, it still does work.

I found out that if I run the furnace fan, it triggers the odor, and there is a vent opening directly under the kitchen sink, which you cannot see in the pictures above because it under the cabinetry. It is a concrete slab foundation.

I contacted a plumber for assistance. He suspected a busted sewer line, so we contacted a sewage cleaning company. They came and discovered a lot of roots in the sewer drain, so they cleaned it out. There was immediate relief from the odor. The roots were causing a blockage, but nothing was actually coming out of the drains. You'll find out why in a minute. After a week, we could still trigger the odor, so we knew something else was going on. We contacted the sewer guys again to stick a camera in the duct work under the sink. They found sitting water. Egads! They ran the water on the kitchen sink and discovered flowing water (not even a drip, but a major flow) into the duct work sourced somewhere close to the kitchen sink. Conclusion: there is a leaky drain pipe in the concrete slab that is just above the duct work to cause it to fill with water.

Because it was drain pipe leak, I contacted my warranty company. We bought the house in October, and it came with a 1-yr warranty. They gave the name of their technician indicating there was a $75 deductible. Fine. He got there, and I explained the situation to him. Apparently, plumbers don't have cameras to use. We spent an hour just explaining and describing the situation. He told me to call back in a week if I hadn't heard from him. I called him today; he said he'd call me back after lunch; that he had just left a message to the warranty company. The warranty company called me back this morning: "We don't cover leaky pipes in the concrete slab." Boom!