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        "# Lecture 28 - Hard problems\n",
        "\n",
        "In this lecture, we will discuss -\n",
        "\n",
        "1. The Hamiltonian Path problem\n",
        "2. Hamiltonian Path on DAGs vs general directed graphs\n",
        "3. Notion of computational hardness\n",
        "4. Hamiltonian path with specified start vertex\n",
        "5. Reduction from Ham-Path with start to Ham-path\n",
        "6. Reduction from Ham-path with Ham-path with start\n",
        "7. NP-hardness and the world of Complexity Theory\n",
        "\n",
        "---\n",
        "\n",
        "Announcements\n",
        "\n",
        "1. CBTF sign up for Final + Retake exam\n",
        "2. Final exams start May 7\n",
        "3. Flex feedback and Practice exam study tool feedback\n",
        "4. Office hours this week\n",
        "\n"
      ],
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    {
      "cell_type": "markdown",
      "source": [
        "# Hamiltonian Path problem (also called Rudrata Path problem)\n",
        "\n",
        "Given a directed graph $G = (V,E)$, determine whether there is a path in $G$ that visits every vertex exactly once.\n",
        "\n",
        "![Screenshot 2026-05-04 at 1.58.33 PM.png](data:image/png;base64,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)\n",
        "\n",
        "Graph with NO hamiltonian path\n",
        "\n",
        "\n",
        "![Screenshot 2026-05-04 at 1.38.02 PM.png](data:image/png;base64,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)\n",
        "\n",
        "Graph with a Hamiltonian Path\n",
        "\n",
        ">The Hampath problem could also be asked for undirected graphs."
      ],
      "metadata": {
        "id": "SxszslYBJJe_"
      }
    },
    {
      "cell_type": "markdown",
      "source": [
        "# Solving the hamiltonian path problem\n",
        "\n",
        "**Brute Force**\n",
        "\n",
        "Check all possible seqeunces of visiting vertices to establish whether there is a hamitonian path in the graph.\n",
        "\n",
        "In oder to implement this, generate all possbile vertex sequences (of size $n$) and check whether any seqeuence has a valid hamiltonian path.\n",
        "\n",
        "If there is one, return True. If none of the sequences have a hamiltonian path, return False.\n",
        "\n"
      ],
      "metadata": {
        "id": "jB8SPPTTSkI3"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "import itertools\n",
        "\n",
        "def Hampath_bruteforce(G):\n",
        "  n = len(G)\n",
        "  lis = [0]*n\n",
        "  for i in range(n):\n",
        "    lis[i] = i\n",
        "\n",
        "  #generating all possible vertex sequences\n",
        "  perm = itertools.permutations(lis)\n",
        "\n",
        "  for p in perm:\n",
        "    ham = True\n",
        "    order = list(p)\n",
        "    for i in range(n-1):\n",
        "      if(order[i+1] not in G[order[i]]):\n",
        "        ham = False\n",
        "    if(ham == True):\n",
        "      print(\"Ham path order :\" + str(order))\n",
        "      return True\n",
        "  print(\"No Ham path found\")\n",
        "  return False\n",
        "\n",
        "Hampath_bruteforce([[],[0],[0,1,3],[1],[0,3]])\n",
        "\n",
        "Hampath_bruteforce([[2],[0],[3],[1],[0,2,3]])"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "4aHu1vHMSJ7Q",
        "outputId": "0f5bf1fd-e45d-4ddc-a927-b8ebc6f5da3f"
      },
      "execution_count": 14,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "No Ham path found\n",
            "Ham path order :[4, 0, 2, 3, 1]\n"
          ]
        },
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "True"
            ]
          },
          "metadata": {},
          "execution_count": 14
        }
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        "# Analysis\n",
        "\n",
        "For an $n$ vertex graph, there are a total of $n!$ different permutations of its vertices.\n",
        "\n",
        "For each permutation, the time spent is $O(n)$.\n",
        "\n",
        "Total time taken by the brute force algorithm is $O(n \\times n!)$ - which is much larger than $2^{n}$.\n",
        "\n",
        ">The brute force algorithm for Ham Path runs in exponential time.\n",
        "\n",
        "# Can't do much better than brute force\n",
        "\n",
        "So far, there is no algorithm that runs in time $O(n)$ or $O(n^2)$ or $O(n^3)$ or $O(n^{2026})$ to solve the Hamiltonian path problem on directed graphs!"
      ],
      "metadata": {
        "id": "HgY_BPVbXUX2"
      }
    },
    {
      "cell_type": "markdown",
      "source": [
        "**SEARCH problems**\n",
        "\n",
        "We are given an instance I (that is, some input data\n",
        "specifying the problem at hand, in this case a Graph $G$),\n",
        "and we are asked to find a solution S (an object that meets a particular specification, in this\n",
        "case an $n$-vertex sequence that has a path).\n",
        "\n",
        "If no such solution exists, we must say so.\n",
        "\n",
        ">More specifically, a search problem must have the property that any proposed solution S\n",
        "to an instance I can be quickly checked for correctness.\n",
        "\n",
        "In this case, given some candidate vertex seqeunce S, we can check quickly (in $O(n)$ time) for correctness - that is, whether S is a hamiltonian path for $G$.\n",
        "\n",
        "> The Ham Path problem is among a bunch of SEARCH problems that are believed to have no polynomial time algorithms.\n",
        "\n",
        "We do not know **for sure** that Ham path does not have a polynomial time algorithm. But, most researchers strongly believe that Ham path does not have a polynomial time algorithm.\n",
        "\n",
        ">The CLAY institute of Mathematics has listed the **P vs NP** problem as one of seven [Millineum Prize](https://www.claymath.org/millennium-problems/) problems. Solve it and you will get USD 1 Million prize for a correct solution. Almost surely, the prize money will be dwarfed by the accolades that follow!\n"
      ],
      "metadata": {
        "id": "uwSiDAMoXuW4"
      }
    },
    {
      "cell_type": "markdown",
      "source": [
        "# Ham paths for DAGs\n",
        "\n",
        "Consider the following variant of the general Ham path problem - what if we are guaranteed that the input graph $G$ is a DAG.\n",
        "\n",
        ">How can we solve Ham path for DAGs?\n",
        "\n",
        "Notice that for a DAG $G$, there are not too many vertex sequences that can correspond to any hamiltonian path. Why? Well, let's say there is an edge from 3 to 4 in a DAG. Then, any sequence with 4 appearing before 3 CANNOT have a ham path. Do you see why?\n",
        "\n",
        "In fact, the Ham path problem on DAGs can be solved **efficiently**  $\\sim$ *Polynomial time*. How?\n",
        "\n",
        "\n",
        "**Topological Sort**\n",
        "\n",
        "Once a graph is topologically sorted, then there is only one possible vertex sequence that can correspond to a Hamiltonian Path. This is because edges in a DAG only go in one direction - and so any hamiltonian path that exists must also go in the same direction.\n",
        "\n",
        "Can you write an algorithm that solves Hamiltonian path problem for DAGs based on this idea?\n"
      ],
      "metadata": {
        "id": "vN4PipEnZXty"
      }
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "id": "DxescWGfA3bW"
      },
      "outputs": [],
      "source": [
        "def Hampath-DAG_efficient(G):\n",
        "\n",
        "  #write an algorithm that uses topological sort and efficiently determines whether or not G has a hamiltonian path\n",
        ""
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        "# Ham Path with a start vertex\n",
        "\n",
        "Consider the following variant of the Ham Path problem -\n",
        "\n",
        "Given as input a graph $G$ and a vertex $s$, determine whether there is a Hamiltonian path in $G$ starting from vertex $s$.\n",
        "\n",
        "> What does this mean for the search space of sequences?\n",
        "\n",
        "While the problem provides some information on where to look for the start of any potential hamiltonian path, it turns out that this is **as hard as** the general Hamiltonian path problem.\n",
        "\n",
        "We will prove this statement by providing a reduction from general Ham path to Ham path with start vertex."
      ],
      "metadata": {
        "id": "MlSnCoxmeUa9"
      }
    },
    {
      "cell_type": "markdown",
      "source": [
        "# Reduction from general Ham path to Ham path with start vertex\n",
        "\n",
        "Let us review the framework of reduction through the following diagram -\n",
        "\n",
        "![Screenshot 2026-04-29 at 1.02.22 PM.png](data:image/png;base64,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)\n",
        "\n",
        "So, how can we transform a general HAM path instance to a HAM path instance with a specific start vertex?\n",
        "\n",
        "\n",
        "**Attempt 1**\n",
        "\n",
        "Since we are looking for a Ham path for the same graph $G$, why don't we just keep it intact and add a potential start vertex - say 0 - to generate the Ham path with specified start vertex instance?\n",
        "\n",
        "![Screenshot 2026-05-04 at 2.55.50 PM.png](data:image/png;base64,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)\n",
        "\n",
        "\n",
        "> Does this reduction always work? Why/why not?"
      ],
      "metadata": {
        "id": "ZVhMp8dqfA04"
      }
    },
    {
      "cell_type": "markdown",
      "source": [
        "# Successful reduction\n",
        "\n",
        "Since it is not always the case that vertex 0 will be the start vertex for the Ham path instance, our previous reduction attempt failed.\n",
        "\n",
        "But, we do not know which of the $n$ vertices of $G$ is going to be the start vertex. How do we then find a specific starting vertex?\n",
        "\n",
        "**Idea**\n",
        "\n",
        "Since any of the $n$ vertices can be the start point, ideally we should be able to ask the Ham path with start vertex question for each possible start vertex.\n",
        "\n",
        "If any of these $n$ instances work out, we know that the original graph has a Ham path.\n",
        "\n",
        "If none of them work out, then the original graph did not have a Ham path.\n",
        "\n",
        "In order to create just one new instance, we can add a new vertex $s_{new}$ which is a **universal source** - that is, $s_{new}$ has edges to all vertices $v \\in V(G)$.\n",
        "\n",
        "Now, if the original graph $G$ has a Ham path, then the new graph $G'$ has a Ham path starting from $s_{new}$.\n",
        "\n",
        "In the other direction, if the new graph $G'$ has a Ham path starting from $s_{new}$, then the original graph $G$ must have a Ham path (simply consider the vertex sequence that follows $s_{new}$ in the Ham path of $G'$).\n",
        "\n",
        "![Screenshot 2026-05-04 at 2.56.02 PM.png](data:image/png;base64,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)\n",
        "\n"
      ],
      "metadata": {
        "id": "gRSbZEmqkVI7"
      }
    },
    {
      "cell_type": "markdown",
      "source": [
        "# Observations\n",
        "\n",
        "Since there is a reduction from General Ham path to Ham path with start vertex, we can conclude that if we know how to solve Ham Path with start vertex, we can solve the General Ham Path problem.\n",
        "\n",
        "So, it is the case that Ham path with start vertex is the more difficult version of the two?\n",
        "\n"
      ],
      "metadata": {
        "id": "7l91gCbsm24e"
      }
    },
    {
      "cell_type": "markdown",
      "source": [
        "# Reduction from Ham path with start vertex to General Ham path\n",
        "\n",
        "In this case, the new graph should have a Ham path if and only if the original graph has a Ham path starting from vertex $s$.\n",
        "\n",
        "**Idea**\n",
        "\n",
        "Add a new vertex $s_{0}$ with an edge only to $s$. This will ensure that the new Graph $G'$ has a Ham path if and only if the original graph has a Ham path starting from vertex $s$.\n",
        "\n",
        "![Screenshot 2026-05-04 at 3.12.36 PM.png](data:image/png;base64,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)\n",
        "\n",
        ">General Ham path and Ham Path with start vertex are both equally hard problems!"
      ],
      "metadata": {
        "id": "y5wGMFa-nJOL"
      }
    },
    {
      "cell_type": "markdown",
      "source": [
        "**NP-hardness**\n",
        "\n",
        "Seach problems such as Ham Path and Ham path with start vertex are known to belong to a class of problems called $\\mathrm{NP}$.\n",
        "\n",
        "$\\mathrm{NP}$ refers to problems that can be verified within polynomial time. These problems need not be able to be solved in polynomial time, however.\n",
        "\n",
        "For example, the solution to a crossword puzzle can be verified easily but coming up with the solution to a crossword puzzle isn't necessarily as easy.\n",
        "\n",
        "Problems that are most difficult to solve within $\\mathrm{NP}$ are called $\\mathrm{NP}$-hard problems. Examples include General Ham Path, Ham path with start vertex, Subset Sum, Satisfiability etc.\n",
        "\n"
      ],
      "metadata": {
        "id": "6jWYsyJ8oVDS"
      }
    },
    {
      "cell_type": "code",
      "source": [],
      "metadata": {
        "id": "Doy__7aSm0FR"
      },
      "execution_count": null,
      "outputs": []
    }
  ]
}