Discrete Mathematics · Graph Theory
Virginia SOL DM.GT.4
Virginia SOL DM.GT.4 is part of the Graph Theory strand in Discrete Mathematics (Math). Under this Standards of Learning objective, students recognize and apply algorithms to solve configuration, conflict-resolution, and sorting problems. Below is what DM.GT.4 covers in plain language, the specific skills it is assessed on, the key concepts to review, and how to practice DM.GT.4 for the Virginia SOL test.
What SOL DM.GT.4 means
Recognize and apply algorithms to solve configuration, conflict-resolution, and sorting problems.
Skills you’ll practice for DM.GT.4
- Recognize algorithms such as nearest neighbor, brute force, and cheapest link as they apply to graphs.
- Use Kruskal's algorithm to determine the shortest spanning tree of a connected graph.
- Use Prim's algorithm to determine the shortest spanning tree of a connected graph.
- Use Dijkstra's algorithm to determine the shortest spanning tree of a connected graph.
Key concepts covered by DM.GT.4
- nearest neighbor algorithm
- brute force algorithm
- cheapest link algorithm
- graph algorithms
- Kruskal's algorithm
- shortest spanning tree
- Prim's algorithm
- Dijkstra's algorithm
- shortest path
How to study and practice SOL DM.GT.4
Start with a quick diagnostic to see whether DM.GT.4 is already solid, then work each skill above with guided notes, flashcards, and SOL-style practice questions. For official released items, see our Virginia SOL practice tests guide and how to study for the SOL test.
Related Discrete Mathematics standards in Graph Theory
- DM.GT.1 — Represent problems using vertex-edge graphs and analyze graph properties.
- DM.GT.2 — Solve problems using circuits, cycles, Euler paths, Euler circuits, Hamilton paths, and Hamilton circuits.
- DM.GT.3 — Apply graphs to conflict-resolution problems such as graph coloring, scheduling, matching, and optimization.
- DM.GT.5 — Use algorithms to schedule tasks and determine minimum project time.
Frequently asked questions about SOL DM.GT.4
What is Virginia SOL DM.GT.4?
SOL DM.GT.4 is a Discrete Mathematics Standard of Learning in the Graph Theory strand. It expects students to recognize and apply algorithms to solve configuration, conflict-resolution, and sorting problems.
What skills does SOL DM.GT.4 cover?
SOL DM.GT.4 is assessed on 4 skills: recognize algorithms such as nearest neighbor, brute force, and cheapest link as they apply to graphs; use Kruskal's algorithm to determine the shortest spanning tree of a connected graph; use Prim's algorithm to determine the shortest spanning tree of a connected graph; use Dijkstra's algorithm to determine the shortest spanning tree of a connected graph.
What strand of Discrete Mathematics is SOL DM.GT.4 in?
SOL DM.GT.4 belongs to the Graph Theory reporting strand of the Discrete Mathematics Virginia Standards of Learning.
How do I study and practice for SOL DM.GT.4?
Start with a diagnostic to see whether DM.GT.4 is already solid, then work the 4 skills above with guided notes, flashcards, and SOL-style practice questions. For official released items, see the Virginia SOL practice tests guide.