Some low carb diets depend on glycemic index or glycemic load while other low carb diets depend more upon total carbs. Some low carb diets restrict healthy foods such as fruits all together. Your safest bet is to check carb counts which are arranged by sugar content while taking volume and weight into account.
The great news is that the fruits that are the lowest in sugar are the ones with the most nutritional value including powerful antioxidants and other phytonutrients. The fruits that are low in sugar include papayas, apples, cherries, pears, guava, plums, peaches, melons, apricots, grapefruit, blueberries, blackberries, raspberries, strawberries, and cranberries. Consume as many of these fruits in as big of a variety as your diet will allow you to eat each day.
The fruits that are high in sugar and carbs and should be avoided are bananas, mangos, dried fruits, kiwi, pineapple, oranges, tangerines, and grapes.
When it comes to low carb diets most vegetables are encouraged though they still may be limited. The vegetables that are all non starchy and are usually low in carbs includes cabbage, cauliflower, broccoli, radishes, celery, lettuce, spinach, mushrooms, artichoke hearts, eggplant, tomatoes, green beans, Brussels sprouts, asparagus, peppers, cucumber, pickles without added sugar, avocado, onions, okra, pumpkin, turnip, carrots, squash, and sprouts.
There are some vegetables that should be avoided because they are starchy and high in carbs such as all types of potatoes, plantains, peas, corn, carrots, and beets.
Check your specific diet to see how many calories and carbs you are allowed to consume every day. Make sure you count all carbs such as organ meats, limited consumption to 4 oz. per day. Also limit your consumption of hot dogs, bacon, and processed meats. All diets can benefit from limited the foods that have high saturated fats.