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4    	/*         SCIP --- Solving Constraint Integer Programs                      */
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24   	
25   	/**@file   branch_gomory.h
26   	 * @ingroup BRANCHINGRULES
27   	 * @brief  Gomory cut branching rule
28   	 * @author Mark Turner
29   	 *
30   	 * The approach is based on the following papers.
31   	 *
32   	 * M. Turner, T. Berthold, M. Besancon, T. Koch@n
33   	 * Branching via Cutting Plane Selection: Improving Hybrid Branching,@n
34   	 * arXiv preprint arXiv:2306.06050
35   	 *
36   	 * The Gomory cut branching rule selects a candidate integer variable $j$ with a fractional solution value.
37   	 * Each candidate variable must be a basic variable in the LP Tableau (if not then it would have to be at its bound
38   	 * that is integer-valued)
39   	 * This branching rule calculates the GMI cut for the aggregated row of the LP tableau associated with the
40   	 * candidate variable.
41   	 * The generated cut is then scored using a weighted sum rule.
42   	 * The branching candidate whose cut is highest scoring is then selected.
43   	 * For more details on the method, see:
44   	 *
45   	 * @par
46   	 * Mark Turner, Timo Berthold, Mathieu Besançon, Thorsten Koch@n
47   	 * Branching via Cutting Plane Selection: Improving Hybrid Branching@n
48   	 * 2023@n
49   	 *
50   	 */
51   	
52   	/*---+----1----+----2----+----3----+----4----+----5----+----6----+----7----+----8----+----9----+----0----+----1----+----2*/
53   	
54   	#ifndef __SCIP_BRANCH_GOMORY_H__
55   	#define __SCIP_BRANCH_GOMORY_H__
56   	
57   	
58   	#include "scip/def.h"
59   	#include "scip/type_retcode.h"
60   	#include "scip/type_scip.h"
61   	
62   	#ifdef __cplusplus
63   	extern "C" {
64   	#endif
65   	
66   	/** creates the Gomory cut branching rule and includes it in SCIP
67   	 *
68   	 *  @ingroup BranchingRuleIncludes
69   	 */
70   	SCIP_EXPORT
71   	SCIP_RETCODE SCIPincludeBranchruleGomory(
72   	   SCIP*                 scip                /**< SCIP data structure */
73   	);
74   	
75   	#ifdef __cplusplus
76   	}
77   	#endif
78   	
79   	#endif
80