{
  "nbformat": 4,
  "nbformat_minor": 0,
  "metadata": {
    "colab": {
      "provenance": []
    },
    "kernelspec": {
      "name": "python3",
      "display_name": "Python 3"
    },
    "language_info": {
      "name": "python"
    }
  },
  "cells": [
    {
      "cell_type": "markdown",
      "source": [
        "# Lecture 21 - Dijkstra's algorithm for Shortest paths\n",
        "\n",
        "In this lecture, we will discuss -\n",
        "\n",
        "1. Review of shortest paths in a weighted graph\n",
        "2. How BFS falls short of finding shortest paths in weighted graphs\n",
        "3. A greedy idea to find shortest paths for weighted graphs\n",
        "4. Dijkstra's algorithm - idea, implementation, analysis\n",
        "5. Priority Queues - an abstract data type supporting prioritization\n",
        "\n",
        "**Learning Objectives**\n",
        "\n",
        "1. Identifying shortest paths in a graph\n",
        "2. Computing cost of paths in weighted graphs\n",
        "3. Greedy approach to solve problems\n",
        "4. Dijkstra's algorithm\n",
        "5. Priority queues - idea and implementation\n",
        "\n",
        "\n",
        "Announcements -\n",
        "\n",
        "1. Homework 4 due TONIGHT\n",
        "2. Lab 8 due this Thursday on BFS and BFS vs DFS\n",
        "3. Exam 2 grades - to be released by Sunday\n",
        "4. Exam 2 grades - will ensure no points lost to formatting issues"
      ],
      "metadata": {
        "id": "dPeKpOcDx2Qq"
      }
    },
    {
      "cell_type": "markdown",
      "source": [
        "# Discovery clicker\n",
        "\n",
        "Scan and use join code 277\n",
        "\n",
        "OR Visit clicker.cs.illinois.edu and use join code 277\n",
        "\n",
        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)"
      ],
      "metadata": {
        "id": "QJu-_4Oryjj2"
      }
    },
    {
      "cell_type": "markdown",
      "source": [
        "# Cheapest flight route\n",
        "\n",
        "Consider the flight route network problem. Suppose you are trying to find the cheapest option to go from Chicago to San Francisco.\n",
        "\n",
        "The following diagram has the costs of direct flights across cities -\n",
        "Chicago, New York City, San Diego, Dallas, San Francisco\n",
        "\n",
        "![Screenshot 2026-03-25 at 2.30.41 PM.png](data:image/png;base64,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)\n",
        "\n",
        "> What is the shortest path from Chicago to San Francisco?\n",
        "\n",
        "> What is the cheapest cost to travel from Chicago to San Francisco on May 1?\n",
        "\n",
        "> What is the flight route that corresponds to the cheapest cost?\n"
      ],
      "metadata": {
        "id": "n8xmsTPLy6xh"
      }
    },
    {
      "cell_type": "markdown",
      "source": [
        "# Shortest Path for weighted graphs\n",
        "\n",
        "\n",
        "\n",
        "\n",
        "*   We can model the cheapest flight cost problem as a shortest path problem.\n",
        "*   The abstract problem of interest here is to find the shortest \"weighted\" path from a vertex s to all other vertices.\n",
        "*   In this particular case, the cost of a path is the sum of costs of all edges along the path.\n",
        "\n",
        "\n",
        "\n",
        "\n",
        "![Screenshot 2026-03-30 at 12.09.30 AM.png](data:image/png;base64,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)\n",
        "\n",
        "> Representation of weighted graphs in Adjacency list format -\n",
        "\n",
        "We have seen that edge (i,j) in the adjacency list representation manifests as $j$ being present in $G[i]$.\n",
        "\n",
        "How do we include the weight of the edge $(i,j)$?\n",
        "\n",
        "One approach is to include this next to vertex $j$ in $G[i]$. Let $w(i,j)$ be the weight of edge $(i,j)$. We can include this information as follows -\n",
        "$(j, w(i,j))$ in $G[i]$.\n",
        "\n",
        "The above weighted graph then has the following adjacency lists representing it-\n",
        "\n",
        "* G[0] = [(1,50),(2,90),(3,150),(4,161)]\n",
        "* G[1] = [(4,55)]\n",
        "* G[2] = [(1,375),(3,140),(4,140)]\n",
        "* G[3] = [(4,60)]\n",
        "* G[4] = []"
      ],
      "metadata": {
        "id": "mOrQ0VO7Jd6V"
      }
    },
    {
      "cell_type": "markdown",
      "source": [
        "# Flight routes from Chicago to San Francisco\n",
        "\n",
        "1. Chi -> Sfo                   ( 161 )\n",
        "2. Chi -> Dal -> Sfo            ( 50 + 55 = 105 )\n",
        "3. Chi -> Nyc -> Sfo             ( 90 + 140 = 230 )\n",
        "4. Chi -> SanD -> Sfo            ( 150 + 60 = 210 )\n",
        "5. Chi -> Nyc -> SanD -> Sfo     ( 90 + 140 + 60 = 290 )\n",
        "6. Chi -> Nyc -> Dal -> Sfo      ( 90 + 375 + 55 = 520 )"
      ],
      "metadata": {
        "id": "wog2_TjVzADy"
      }
    },
    {
      "cell_type": "markdown",
      "source": [
        "# Does BFS find the cheapest flight route from Chicago to San Francisco?\n",
        "\n",
        "\n",
        "\n",
        "*   Let us use BFS on the flight route network graph starting at Chicago to check whether it gives us the cheapest flight route through San Francisco.\n",
        "\n",
        "**Why does BFS fail?**\n",
        "\n",
        "1. BFS is does NOT take weights into account - so, it had no hope of finding shortest paths.\n",
        "\n",
        "2. Can we adapt BFS to take weights into account?\n"
      ],
      "metadata": {
        "id": "3Xu7T62yXKwx"
      }
    },
    {
      "cell_type": "markdown",
      "source": [
        "# BFS fails to identify the cheapest flight route!\n",
        "\n",
        "The discovery path starting from Chicago to San Francisco in this case is Chicago -> San Francisco. This path has cost 161$ - which is NOT the cheapest flight route cost!"
      ],
      "metadata": {
        "id": "DFjunS4sG-Q6"
      }
    },
    {
      "cell_type": "markdown",
      "source": [
        "# Adapting BFS to take weights into consideration\n",
        "\n",
        "1. We can update the cost of reaching each neighbor of BFS using the weights on outgoing edges of s.\n",
        "\n",
        "2. The main question is which vertex should we pick next to explore?\n",
        "\n",
        "3. Since the cheapest vertex to reach from vertex 0 is vertex 1, we could explore that next.\n",
        "\n",
        "(This is important as it keeps alive the possibility of potentially reaching other vertices with lower costs than what they already have.)\n",
        "\n",
        "4. What next? We need to check if there are cheaper paths through vertex 1 compared to those that already existed before. If they do, we must update this information.\n",
        "\n",
        "For example, in the flight route example, vertex 1 has cost 50 and the edge from 1 to 4 has cost 55. This suggests that going to vertex 4 through vertex 1 will cost 50 + 55 = 105. Since 105 is less than the previous cost of vertex 4 which was 161, we must update the cost of vertex 4 with the better cost.\n"
      ],
      "metadata": {
        "id": "8y7plPzFiVWi"
      }
    },
    {
      "cell_type": "markdown",
      "source": [
        "# Dijkstra's Algorithm (Greedy Approach )\n",
        "\n",
        "**Main Idea**\n",
        "\n",
        "To find shortest paths in weighted graphs, where all the weights are positive, graphs can be explored in a lowest cost vertex first manner.\n",
        "\n",
        "This is a **Greedy** approach for this reason.\n",
        "\n",
        "Visualization - https://visualgo.net/en/sssp"
      ],
      "metadata": {
        "id": "8JAGT8cxEFha"
      }
    },
    {
      "cell_type": "markdown",
      "source": [
        "# Dijkstra's algorithm - requirements\n",
        "\n",
        "1. In order to store the final distance of each vertex from $s$, we need a distance list.\n",
        "\n",
        "2. In order to be able to trace paths, we need to maintain a parent list.\n",
        "\n",
        "3. When a vertex has to be picked to be explored, we need to have the distance values of all vertices to pick the cheapest one. (We can use the distance list for this but that is not the most efficient way)\n"
      ],
      "metadata": {
        "id": "Tx0lUrNp5vpC"
      }
    },
    {
      "cell_type": "markdown",
      "source": [
        "# Dijkstra's - Implementation details\n",
        "\n",
        "\n",
        "\n",
        "**Initialization**\n",
        "\n",
        " All vertices have distances set to infinity and parent set to None since we haven't explored the graph yet.\n",
        "\n",
        " The start vertex must be the one from which we want to establish shortest paths. Set its distance to 0 and update the **priority queue**.\n",
        "\n",
        " ---\n",
        "\n",
        "**Exploring edges**\n",
        "\n",
        "Consider a vertex u that is currently being explored and an edge (u,v) of weight w.\n",
        "\n",
        "Processing this edge should check if the current path to go from s -----> u -> v is shorter than the previous shortest path to go from s to v.\n",
        "\n",
        "If the new path is shorter, we must update the shortest path to be\n",
        "s -----> u -> v. This means we must - 1) set parent[v] to u, 2) update dist[v] to be dist[u] + w since the cost of the new path s -----> u -> v is dist[u] + w.\n",
        "\n",
        "If the old path was shorter, we should not change the shortest path from s to v.\n",
        "\n",
        "We must do this for all outgoing edges of u.\n",
        "\n",
        "---\n",
        "\n",
        "**Picking Next vertex**\n",
        "\n",
        "Since we want to pick the cheapest vertex among all remaining, our queue must support this functionality. We use **Priority Queues** for this.\n",
        "\n",
        "What must the priority queue do? Since we want to explore vertices in increasing order of their costs, the priority queue must support returning the cheapest vertex.\n",
        "\n",
        "In order to do this, we must update the queue every time a vertex undergoes a change in dist value. The function `update_vertex` does just this - it updates the position of vertex `v` when its `dist` value is updated.\n"
      ],
      "metadata": {
        "id": "r8MsF_qFEdpH"
      }
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "outputId": "17455938-1e55-4a17-fb39-b3170531ce6c",
        "id": "Ha-oYxbD5ZaQ"
      },
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "[0, 50, 90, 150, 105]\n"
          ]
        }
      ],
      "source": [
        "# Implementation of Dijkstra's greedy algorithm for shortest paths\n",
        "\n",
        "def Dijkstras(G, s):\n",
        "    n = len(G)\n",
        "\n",
        "    # initializing dist values to infinity and parent values to none\n",
        "    dist = [float('inf')] * len(G)\n",
        "    parent = [None] * len(G)\n",
        "\n",
        "    # priority queue that maintains vertices with priority for lower distance\n",
        "    priority_queue = []\n",
        "    for i in range(len(G)):       #initially all have dist inf - order immaterial\n",
        "        priority_queue.append(i)\n",
        "\n",
        "    # setting s as the start vertex and updating priority queue\n",
        "    dist[s] = 0\n",
        "    priority_queue = update_vertex(priority_queue, s, dist)\n",
        "\n",
        "    while priority_queue != []:\n",
        "      #pick the cheapest vertex\n",
        "        u = priority_queue.pop(0)\n",
        "\n",
        "        for (v, weight) in G[u]:             #processing edge (u,v)\n",
        "            if dist[v] > dist[u] + weight:   #if new s-v path is cheaper, update\n",
        "                parent[v] = u\n",
        "                dist[v] = dist[u] + weight\n",
        "                priority_queue = update_vertex(priority_queue, v, dist) #update priority queue with updated value for v\n",
        "\n",
        "    return dist\n",
        "\n",
        "\n",
        "# updating the position of v in the priority queue based on new distance value\n",
        "def update_vertex(pq, v, dist):\n",
        "    for i in range(len(pq)):\n",
        "        if pq[i] == v:        #identify position of v\n",
        "            while i > 0 and dist[pq[i - 1]] > dist[v]:  #insert v into right position after update\n",
        "                pq[i] = pq[i - 1]\n",
        "                pq[i - 1] = v\n",
        "                i -= 1\n",
        "            return pq\n",
        "\n",
        "\n",
        "print(Dijkstras([[(1, 50), (2, 90), (3, 150), (4, 161)],[(4, 55)],[(1, 375), (3, 140), (4, 140)],[(4, 60)],[]],0))"
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        "# Observations\n",
        "\n",
        "1. The priority queue always maintains the vertices in increasing order of distance values.\n",
        "\n",
        "2. So, the cheapest vertex is the one at position 0.\n",
        "\n",
        "\n",
        "3. Every edge $(u,v)$ that causes an update to $dist[v]$ calls update_vertex to update the priority of vertex $v$. So, update_vertex can be called by edges up to $m$ times.\n",
        "\n"
      ],
      "metadata": {
        "id": "J5CUjcjlCaTP"
      }
    },
    {
      "cell_type": "markdown",
      "source": [
        "#Runtime Analysis\n",
        "\n",
        "1. It is easy to see that the initialization phase takes $O(n)$ time.\n",
        "\n",
        "2. The update_vertex function call takes $O(n)$ time - since it amounts to moving a particular element to its correct position in an *already sorted queue*.\n",
        "\n",
        "3. Popping the first element takes $O(n)$ time. Since this is done $n$ times in total, this step costs $O(n^{2})$ time during the algorithm.\n",
        "\n",
        "4. Time spent on each edge - $O(1)$ time each for the if condition, setting the parent, updating dist value. The update_vertex function call takes $O(n)$ time since in the worst case vertex $v$ should be moved from last position to first in the priority queue.\n",
        "\n",
        "Time spent (per edge) - $O(1) + O(1) + O(1) + O(n) = O(n)$, so total time spent on all edges $O(mn)$.\n",
        "\n",
        "> Overall running time - $O(n^{2} + mn)$.\n"
      ],
      "metadata": {
        "id": "U7C6B8hRH9d2"
      }
    },
    {
      "cell_type": "markdown",
      "source": [
        "# Choice of Data Structure impacts running time of Dijkstra's algorithm\n",
        "\n",
        "In the analysis section above, we have seen that the time taken by the Dijkstra's algorithm depends heavily on the update_vertex operation.\n",
        "\n",
        "In particular, note that the running time of Dijkstra's depends on -\n",
        "\n",
        "1. $n$ calls to find cheapest vertex to explore\n",
        "2. $m$ calls to update priority of vertices $v$\n",
        "\n",
        "Since our implementation requires $O(n)$ time for both, the total run time was $n * O(n) + m * O(n) = O(n^2 + mn)$\n",
        "\n",
        "> There are other data structures which perform better. Heaps are one such data structure which require $O(\\log n)$ time for finding cheapest and updating priority - leading to an improved run time of $O(n \\log n + m \\log n)$."
      ],
      "metadata": {
        "id": "JgR1FFplDjYT"
      }
    },
    {
      "cell_type": "markdown",
      "source": [
        "# Edsger Dijkstra\n",
        "\n",
        "* Article about Edsger Dijkstra - https://www.cwi.nl/en/about/history/e-w-dijkstra-brilliant-colourful-and-opinionated/\n",
        "\n",
        "*   Words of wisdom - https://www.youtube.com/shorts/yTI_OvT8MGw\n",
        "\n",
        "\n",
        "\n",
        "*   Interview - https://cacm.acm.org/news/an-interview-with-edsger-w-dijkstra/\n",
        "\n"
      ],
      "metadata": {
        "id": "_CkOXS2pL1Yr"
      }
    },
    {
      "cell_type": "markdown",
      "source": [
        "# Dijkstra's algorithm - correctness\n",
        "\n",
        "\n",
        "*   Dijkstra's algorithm correctly returns the shortest paths for weighted graphs with positive edge weights.\n",
        "\n",
        "*   This approach does not always work when edge weights can be negative. We will see this in the lab this week.\n",
        "\n",
        "* Priority Queues - Different data structures can be used to implement priority queues. A typical choice is a [**Heap**](https://courses.grainger.illinois.edu/cs225/sp2019/notes/heaps/) which maintains data in a reasonably efficient manner - updates require $O(\\log n)$ time and deleting the minimum also requires $O(\\log n)$ time. The running time of Dijkstra's with heaps is $O(n \\log n + m \\log n)$.\n",
        "\n",
        "* The best data structure for Dijkstra's is the Fibonacci heap - which leads to an $O(1)$ time for updating priority and $O(\\log n)$ time for finding cheapest vertex - leading to a run time of $O(n \\log n + m)$."
      ],
      "metadata": {
        "id": "bbPP9oojKEPD"
      }
    },
    {
      "cell_type": "markdown",
      "source": [
        "# Dijkstra's algorithm vs Graphs with negative weghts\n",
        "\n",
        "![Screenshot 2026-11-02 at 3.15.30 PM.png](data:image/png;base64,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)\n",
        "\n",
        ">Does Dijkstra's algorithm work correctly on this graph?\n"
      ],
      "metadata": {
        "id": "6pZk_VKwHLVO"
      }
    },
    {
      "cell_type": "markdown",
      "source": [
        "# Dijkstra's algorithm does not always work when graph has negative weights\n",
        "\n",
        "![Screenshot 2026-11-02 at 3.18.31 PM.png](data:image/png;base64,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)\n",
        "\n",
        "> Consider the running of Dijkstra's on this graph - what is the shortest path from 0 to 3?"
      ],
      "metadata": {
        "id": "6zAfNqMmIO1Q"
      }
    },
    {
      "cell_type": "markdown",
      "source": [
        "# Applications for shortest paths\n",
        "\n",
        "1. Google Maps navigation\n",
        "\n",
        "2. IP routing protocols\n",
        "\n",
        "3. Flight route optimisation (cost/time)\n",
        "\n",
        "4. Transportation planning - logistics\n",
        "\n",
        "5. Robotics - path planning\n",
        "\n"
      ],
      "metadata": {
        "id": "T0TqR32nQqk1"
      }
    }
  ]
}