HypercubeGraph implements a special graph type. The nodes of the graph are indexed with integers having at most dim binary digits. Two nodes are connected in the graph if and only if their indices differ only on one position in the binary form. This class is completely static and it needs constant memory space. Thus you can neither add nor delete nodes or edges, however, the structure can be resized using resize().
This type fully conforms to the Graph concept. Most of its member functions and nested classes are documented only in the concept class.
This class provides constant time counting for nodes, edges and arcs.
int for efficiency reasons. Thus the maximum dimension of this implementation is 26 (assuming that the size of int is 32 bit). #include <lemon/hypercube_graph.h>
Inherits lemon::GraphExtender< HypercubeGraphBase >.
Classes | |
| class | HyperMap |
| Linear combination map. More... | |
Public Member Functions | |
| HypercubeGraph (int dim) | |
| void | resize (int dim) |
| Resizes the graph. | |
| int | dimension () const |
| The number of dimensions. | |
| bool | projection (Node node, int n) const |
| int | dimension (Edge edge) const |
| The dimension id of an edge. | |
| int | dimension (Arc arc) const |
| The dimension id of an arc. | |
| Node | operator() (int ix) const |
| int | nodeNum () const |
| Number of nodes. | |
| int | edgeNum () const |
| Number of edges. | |
| int | arcNum () const |
| Number of arcs. | |
Static Public Member Functions | |
| static int | index (Node node) |
| The index of a node. | |
| HypercubeGraph | ( | int | dim | ) | [inline] |
Constructs a hypercube graph with dim dimensions.
| void resize | ( | int | dim | ) | [inline] |
This function resizes the graph. It fully destroys and rebuilds the structure, therefore the maps of the graph will be reallocated automatically and the previous values will be lost.
| int dimension | ( | ) | const [inline] |
Gives back the number of dimensions.
| bool projection | ( | Node | node, |
| int | n | ||
| ) | const [inline] |
Returns true if the n'th bit of the node is one.
| int dimension | ( | Edge | edge | ) | const [inline] |
Gives back the dimension id of the given edge. It is in the range [0..dim-1].
| int dimension | ( | Arc | arc | ) | const [inline] |
Gives back the dimension id of the given arc. It is in the range [0..dim-1].
| static int index | ( | Node | node | ) | [inline, static] |
Gives back the index of the given node. The lower bits of the integer describes the node.
| Node operator() | ( | int | ix | ) | const [inline] |
Gives back a node by its index.
1.7.3