In short: FLN Tutors gives graph theory assignment help and tutoring for mathematics, computer science and operations research students. Tutors explain graph terminology, degrees and the handshake lemma, paths, cycles and connectivity, trees and spanning trees, Euler and Hamiltonian graphs, planar graphs and Euler's formula, graph colouring, matchings, shortest paths and network flows step by step, with worked proofs and algorithms. Matched to a verified specialist who knows your course, your university's marking criteria, and your deadline.
Topics we cover
FLN offers one-to-one online Graph Theory tutoring with verified subject specialists. Sessions focus on calculations, design problems and the theory behind them, including Graph Representation, Breadth-First Search (BFS), Depth-First Search (DFS) and Dijkstra's Algorithm, using your own course material, so you understand the subject and can apply it yourself.
Last updated
Graph theory help is one-to-one support from a maths or computer science tutor who explains graphs and their properties, and helps you write proofs and apply graph algorithms. For data structures that store graphs, see data structures and algorithms help.
| What you need | Best option | What you get |
|---|---|---|
| Regular lessons on graph theory | Live one-to-one tutoring | Concepts and proofs explained |
| Problems you are stuck on | Homework help | Step-by-step worked solutions |
| A graded problem set | Assignment help | Guidance within your university's rules |
This map lists the core graph theory topics, the point where students most often get stuck, and how a tutor helps you past it.
| Topic | Where students get stuck | How a tutor helps |
|---|---|---|
| Basics | Vertices, edges, degree and types of graphs | Terminology tables |
| Degrees | The handshake lemma | Worked counting examples |
| Connectivity | Paths, cycles and components | Proof practice |
| Trees | Properties and spanning trees | Worked MST examples |
| Euler and Hamilton | Circuits and paths | Condition comparison tables |
| Planarity | Euler's formula and Kuratowski's theorem | Worked planarity checks |
| Colouring | Chromatic number | Worked colouring examples |
| Algorithms | Dijkstra, BFS, DFS and network flow | Step-by-step algorithm traces |
Tutors cover discrete maths and graph theory courses.
| Area | Topics |
|---|---|
| Foundations | Graphs, digraphs, multigraphs, subgraphs, isomorphism |
| Structure | Degree sequences, connectivity, cut vertices, bridges |
| Trees | Properties, rooted trees, spanning trees, Kruskal and Prim |
| Traversals | Euler and Hamiltonian paths and circuits |
| Planarity and colouring | Euler's formula, Kuratowski, four colour theorem, chromatic polynomials |
| Matchings | Bipartite graphs, Hall's theorem |
| Algorithms | BFS, DFS, Dijkstra, Bellman–Ford, max-flow min-cut |
Three counting results.
| Question | Working | Answer |
|---|---|---|
| A graph has 10 vertices, each of degree 3. Number of edges? | Handshake lemma: sum of degrees = 2E, so E = 30 ÷ 2 | 15 |
| Edges in the complete graph K₆ | 6 × 5 ÷ 2 | 15 |
| A connected planar graph has 8 vertices and 12 edges. Faces? | V − E + F = 2, so F = 2 − 8 + 12 | 6 (like a cube) |
| Does a connected graph with all even degrees have an Euler circuit? | Euler's theorem | Yes |
Edges with weights: A–B 4, A–C 2, B–C 1, B–D 5, C–D 8.
| Task | Working | Answer |
|---|---|---|
| Shortest path from A to D (Dijkstra) | A–C (2), then C–B (1), then B–D (5); compare A–B–D = 9 and A–C–D = 10 | A–C–B–D, length 8 |
| Minimum spanning tree (Kruskal) | Take B–C (1), A–C (2); skip A–B (cycle); take B–D (5) | Total weight 8 |
Kruskal adds the cheapest edge that does not form a cycle until the tree spans all vertices.
Tutors match your level, syllabus and exam board, from school to PhD.
| Level | What you study | Matching help |
|---|---|---|
| A-Level Further Maths | Decision maths and networks | A-Level Mathematics and live tutoring |
| Undergraduate computer science | Discrete structures and algorithms | Discrete Structures, Data Structures |
| Undergraduate mathematics | Graph theory and combinatorics | Design and Analysis of Algorithms and homework help |
| Master's and research | Advanced graph theory and network science | Assignment help and dissertation help |
Related: Data Structures and Algorithms, Linear Algebra, Cryptography and Numerical Methods.
Most lost marks come from incomplete proofs and confusing similar definitions.
| Mark-loser | What to do instead |
|---|---|
| Confusing paths, trails and walks | Use precise definitions |
| Mixing up Euler and Hamiltonian circuits | Euler uses every edge once; Hamilton visits every vertex once |
| Using Euler's formula on non-planar graphs | Check planarity and connectivity first |
| Proofs by example | Prove the general case |
| Dijkstra with negative weights | Use Bellman–Ford instead |
| Algorithm traces without tables | Show each step in a table |
Graph theory is assessed in several formats, and each one is marked on different things. Tutors help you understand the brief and the marking criteria before you start.
| Assessment | What markers look for |
|---|---|
| Problem sets | Correct proofs and calculations |
| Exams | Definitions, theorems and algorithms |
| Algorithm traces | Step-by-step working |
| Programming tasks | Graph algorithms implemented and tested |
| Projects | Applications such as networks or scheduling |
Graph theory students use these tools.
| Tool | What it is used for |
|---|---|
| NetworkX (Python) | Building and analysing graphs |
| Graph drawing tools such as Graphviz | Visualising graphs |
| SageMath | Graph computations |
| Algorithm visualisers | Seeing Dijkstra and DFS in action |
| LaTeX with TikZ | Drawing graphs in reports |
Graph theory is taught to similar core ideas worldwide, but grading, referencing and course structure differ. FLN tutors work from your own syllabus and handbook and schedule lessons in your time zone. Always follow your module handbook for referencing.
| Country | Where graph theory is studied | Grading | Referencing usually used |
|---|---|---|---|
| United Kingdom | A-Level Further Maths decision modules and university discrete maths | GCSE 9–1, A-level A*–E; degrees First, 2:1, 2:2, Third | Few citations; Harvard or numbered if required |
| United States | Discrete mathematics and graph theory courses | Letter grades A–F and a 4.0 GPA scale | Few citations; APA or numbered if required |
| Australia | University mathematics units | HD, D, C, P at university; ATAR for school leavers | Harvard if required |
| Canada | Combinatorics and graph theory courses | Letter grades or percentages; GPA scales vary by province and university | APA or numbered if required |
| India | B.Tech/BE CSE discrete mathematics, BSc and MSc Mathematics graph theory papers | Board exam percentages; university CGPA, often on a 10-point scale | Few citations; as your university specifies |
Students in Ireland, the Gulf, Europe, Africa and Asia can book the same help, with lessons in their own time zone.
The price of graph theory help depends on the number of problems and your deadline. A short problem set costs less than a full assignment. You always see the price first: a fixed quote for homework and assignment guidance, or the tutor's hourly rate for live lessons, with no contract and no minimum number of sessions. Refunds follow our refund policy.
Stuck on a Graph Theory question?
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What you get
Simple process
Tell us your assignment brief, word count, deadline, and academic level. The more detail, the better the match.
We pair you with a Graph Theory expert whose background aligns with your specific topic and university requirements.
Your work arrives before the deadline, plagiarism-checked. Free revisions until it meets your exact requirements.
Takes about two minutes. The quote is free.
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Student reviews
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Yes. Tutors explain concepts, proofs and algorithms and work through problems with you.
The study of graphs: sets of vertices connected by edges.
The sum of all vertex degrees equals twice the number of edges.
A connected graph with no cycles; a tree with n vertices has n − 1 edges.
A closed trail that uses every edge exactly once.
When it is connected and every vertex has even degree.
A cycle that visits every vertex exactly once.
For a connected planar graph, V − E + F = 2.
A graph is planar if and only if it contains no subdivision of K₅ or K₃,₃.
The smallest number of colours needed to colour vertices so adjacent ones differ.
A graph whose vertices split into two sets with edges only between the sets.
It finds shortest paths from a source in graphs with non-negative edge weights.
A spanning tree with the smallest total edge weight.
The maximum flow in a network equals the capacity of its minimum cut.
It is visual and logical; drawing graphs helps with proofs.
Tutors work from your course text, such as West's Introduction to Graph Theory or Narsingh Deo.
Often, yes, for short problems, depending on tutor availability.
Yes. Tutors help implement and test graph algorithms.
Yes. Tutoring, worked examples and feedback are a normal part of learning. You should use the explanations to understand the method and submit your own work in line with your school's or university's academic integrity rules. See our academic integrity policy.
Yes. Your files and details are used only to help you and are not shared with your school or university. See our privacy policy.
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