Companies in the field of "Sorting Technologies" are typically involved in the design, development, and implementation of systems, machines, and techniques used for sorting various items. These items can range from postal mail and packages, to industrial materials like waste or recycled items, to data in computer systems. The aim of these technologies is to improve the speed, efficiency, and accuracy of sorting processes in various industries.

1. Bubble Sort: This is a simple sorting algorithm that repeatedly steps through the list, compares adjacent elements and swaps them if they are in the wrong order. This continues until the list is sorted.  

2. Selection Sort: This is a simple in-place comparison sort. It works by dividing the input into a sorted and an unsorted region, and iteratively shrinking the unsorted region by extracting the largest element and moving that to the sorted region.  

3. Insertion Sort: This sorting method works by building your sorted array one item at a time. It is much less efficient on large lists than more advanced algorithms such as quicksort, heapsort, or merge sort.  

4. Merge Sort: This is an efficient, stable, comparison-based sorting algorithm. Most implementations produce a stable sort, which means that the implementation preserves the input order of equal elements in the sorted output.  

5. Quick Sort: This is an efficient sorting algorithm, serving as a systematic method for placing the elements of an array in order. It is a comparison sort, efficient for large datasets, and is not a stable sort.  

6. Heap Sort: This is a comparison-based sorting algorithm. Heapsort can be thought of as an improved selection sort as it divides its input into a sorted and an unsorted region. Heapsort maintains the unsorted region in a heap data structure to more quickly find the largest element in each step.  

7. Radix Sort: This is a sorting algorithm that sorts integers by processing individual digits. The radix is usually the number of unique digits or the combination of digits and letters.  

8. Shell Sort: This is a generalization of insertion sort which allows the exchange of items that are far apart. Shell sort is a sequence of interleaved insertion sorts based on an increment sequence.  9. Bucket Sort: This is a comparison sort algorithm that operates on elements by dividing them into different buckets and then sorting these buckets individually.  

10. Counting Sort: This algorithm is not a comparison sort and uses the actual values of the keys to index into an array. It is efficient when the range of possible items is small compared to the number of items.  11. Tim Sort: A hybrid sorting algorithm derived from merge sort and insertion sort for better performance. It was invented by Tim Peters in 22 for use in Python.

Sorting technologies can contribute to decarbonization in several ways:

1. Recycling and Waste Management: Modern sorting technologies enable industries to better sort and categorize waste, which can then be reused or recycled. This reduces the demand for new resources, leading to lower CO2 emissions from extraction and manufacturing processes.

2. Energy Efficiency: Certain sorting technologies can also improve energy efficiency. For instance, in industries like mining, more efficient sorting of ore can reduce energy consumption in the processing of the minerals.

3. Reducing Landfill Space: By sorting and recycling waste properly, the amount of waste that ends up in landfill is reduced. This in turn reduces the production of methane, a potent greenhouse gas that is released during the decomposition of waste in landfills.

4. Circular Economy: By using sorting technologies to separate various types of materials, companies can move closer to a circular economy where waste is minimized and resources are continually reused, thus reducing carbon dioxide emissions.

5. Carbon Capture and Storage (CCS): Some advanced sorting technologies are being developed to separate CO2 from other gases emitted by industrial processes, enabling it to be captured and stored to prevent it from being released into the atmosphere.

6. Waste-to-Energy: Sorting technologies can be used to separate waste that can be used for the production of bioenergy, providing a renewable energy source and helping to reduce greenhouse gas emissions.

Thus, sorting technologies play a vital role in managing resources efficiently, reducing greenhouse gas emissions, and contributing towards decarbonization.

Decarbonizing your company by finding a vendor in Sorting Technologies requires a careful evaluation of options. Here are steps to help you make a right selection:  

1. **Define Your Needs**: Understand exactly what your specific needs are for decarbonizing your business. This could be related to the type and volume of waste your company generates.  

2. **Research Potential Vendors**: Look for vendors in the Sorting Technologies sector who specialize in providing solutions to companies in your industry.  

3. **Examine Vendor Credentials**: Check their experience, reputation, and dependability. Vendor's past performance with similar projects can be a good indicator of its capability.  

4. **Technological Innovations and Efficiency**: Ask about the technology used by potential vendors. Opt for a vendor who uses the latest technology and can assure high efficiency and accuracy in sorting.  

5. **Evaluate Carbon Reduction Potential**: Understand how the vendor’s technology will aid in decarbonization. This can be through energy-efficient operations, reduction in waste, recycling or reusing of resources, etc.  

6. **Check Sustainability Commitments**: Make sure your prospective vendor shares your company's commitment to sustainability and has policies in place to support this.  

7. **Request Proposals**: Once you have identified potential vendors, send a request for proposal (RFP).  

8. **Compare Costs**: Decarbonizing your business should not lead to financial instability. Always compare costs among different vendors.  

9. **Request for Pilot Project**: If possible, ask for a trial or pilot project before making a commitment. This will give you a clearer view of what you can expect.  

10. **Review Service Support**: An essential component of successful partnerships is ongoing service and support. Be sure your vendor has a reliable customer support system in place.  By following these steps, you will be able to find a vendor in Sorting Technologies that can help you decarbonize your company successfully.