#ifndef INCLUDED_C_BIPARTITEBFS_H #define INCLUDED_C_BIPARTITEBFS_H #ifndef INCLUDED_C_GRAPH_H #include #endif /*INCLUDED_C_GRAPH_H*/ #ifndef INCLUDED_C_VERTEXIDLIST_H #include #endif /*INCLUDED_C_VERTEXIDLIST_H*/ /* ------------------------------------------------------------------------------------------------------------------ */ /* */ typedef struct { c_bool_t* marked; // marked[v] = has vertex v been discovered? c_bool_t* color; // color[v] = color assigned to vertex v (true/false) c_size_t* edge_to; // edge_to[v] = last vertex on shortest path to v c_VertexIdList_t cycle; // Stores the shortest odd-length cycle if found c_bool_t is_bipartite; // Global bipartite validation status flag c_size_t V; // Cached vertex count boundary c_Allocator_t allocator; // Memory allocator copy } c_BipartiteBFS_t; /* ------------------------------------------------------------------------------------------------------------------ */ /* */ /** * @brief Determines whether an undirected graph is bipartite using Breadth-First Search. * @param self Pointer to the uninitialized bipartite tracking structure. * @param G Pointer to the constant target graph object to verify. * @param allocator Memory allocator instance pointer to deploy. * @return C_SUCCESS on success, or an error status code on allocation failure. */ c_err_t c_BipartiteBFS_Init(c_BipartiteBFS_t* self, const c_Graph_t* G, c_Allocator_t* allocator); /** * @brief Drops all internal allocation states within the bipartite instance safely. */ void c_BipartiteBFS_Destroy(c_BipartiteBFS_t* self); /** * @brief Returns true if the graph is bipartite. */ c_bool_t c_BipartiteBFS_IsBipartite(const c_BipartiteBFS_t* self); /** * @brief Returns the color assignment of vertex v. */ c_bool_t c_BipartiteBFS_Color(const c_BipartiteBFS_t* self, c_VertexId_t v); /** * @brief Returns the shortest odd-length cycle if the graph is not bipartite, or empty if it is. */ const c_VertexIdList_t* c_BipartiteBFS_Cycle(const c_BipartiteBFS_t* self); #endif /*INCLUDED_C_BIPARTITEBFS_H*/