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Require a specific (numeric) value for an invariant:
Algebraic Connectivity
Average Degree
Chromatic Index
Chromatic Number
Circumference
Clique Number
Density
Diameter
Edge Connectivity
Genus
Girth
Independence Number
Index
Laplacian Largest Eigenvalue
Longest Induced Cycle
Longest Induced Path
Matching Number
Maximum Degree
Minimum Degree
Minimum Dominating Set
Number of Components
Number of Edges
Number of Triangles
Number of Vertices
Radius
Second Largest Eigenvalue
Smallest Eigenvalue
Vertex Connectivity
equal to
not equal to
less than
less than or equal to
greater than
greater than or equal to
Require a (numeric) value of an invariant to be in a given range:
Algebraic Connectivity
Average Degree
Chromatic Index
Chromatic Number
Circumference
Clique Number
Density
Diameter
Edge Connectivity
Genus
Girth
Independence Number
Index
Laplacian Largest Eigenvalue
Longest Induced Cycle
Longest Induced Path
Matching Number
Maximum Degree
Minimum Degree
Minimum Dominating Set
Number of Components
Number of Edges
Number of Triangles
Number of Vertices
Radius
Second Largest Eigenvalue
Smallest Eigenvalue
Vertex Connectivity
between
and
Require a certain invariant to be 'of interest':
Algebraic Connectivity
Average Degree
Chromatic Index
Chromatic Number
Circumference
Clique Number
Density
Diameter
Edge Connectivity
Genus
Girth
Independence Number
Index
Laplacian Largest Eigenvalue
Longest Induced Cycle
Longest Induced Path
Matching Number
Maximum Degree
Minimum Degree
Minimum Dominating Set
Number of Components
Number of Edges
Number of Triangles
Number of Vertices
Radius
Second Largest Eigenvalue
Smallest Eigenvalue
Vertex Connectivity
Only consider a certain class of graphs:
Acyclic
Bipartite
ClawFree
Connected
Eulerian
Hamiltonian
Planar
Regular
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No
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