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- Factorization of a graph
- Father of a vertex
- Feedback arc set
- Feedback vertex set
- Fibonacci heap
- Fibre
- Filter
- Final substring
- Finish vertex
- Finishing node of fragment
- Finite automaton
- Finite graph
- Finite tree
- Finiteness problem
- First Order formula
- Five-color theorem
- Fixed vertex
- Flag
- Flat forest
- Flow
- Flow-diagram
- Flow-equivalent graphs
- Flow augmenting path
- Flow control
- Flow dependence
- Flower
- Forbidden subgraph
- Forcing number
- Forcing set
- Ford-Fulkerson's theorem
- Forest-perfect graph
- Forest graph
- Formal language
- Formal language theory
- Forward arc
- Foundtion of G-trade
- Fractional-chromatic number
- Fractional-coloring
- Fractional clique number
- Fractional k-factor
- Fractional matching
- Fractional matching number
- Fragment
- Frame
- Framing number
- Fraternal orientation
- Fraternally orientable digraph
- Fraternally oriented digraph
- Free-choice Petri net
- Free Petri net
- Free language
- Free tree
- Frequency-ordered binary search tree
- Fully disconnected graph
- Functional directed graph
- Functional vertex
- Functionally equivalent program schemata
- Functionally equivalent programs
- Fundamental circuit
- Fundamental cutset matrix
- Fundamental cycle matrix
- Fundamental set of circuits
- Fundamental set of cutsets
- G-Matching function
- G-Trade
- G-Vertex regular graph
- G-Отображающая функция
- Game-chromatic number
- Game domination number
- Gamma-Finite graph
- Gamma-Restricted graph
- Gamma^-1-Finite graph
- Gamma t(G)-Excellent graph
- Gem
- General graph
- General phrase-structure grammar
- Generalized Kautz digraph
- Generalized Petersen graph
- Generalized binary split tree
- Generalized competition graph
- Generalized de Bruijn graph
- Generalized interval order
- Generalized semiorder
- Generating function
- Genus of a graph
- Geodesically convex set of vertices
- Geodetic chain
- Geodetic graph
- Geometric dual graph
- Geometric realization of graph
- Girth
- Global density
- Global forcing number
- Global forcing set
- Global irregularity of a digraph
- Global strong alliance number
- Global w-density
- Gossip graph
- Gossiping problem
- Graceful graph