Algorithm: Algebraic JP Algorithm1: Input : G(V, E), directed or undirected graph2: Output :3: s=0;4: wt ← 0;5: s(1)=∞;6: π ← Ø;7: d = D(1, :);8: while s = ∞9: i=argmin{s + d};10: s(i) = ∞;11: < w, p >=d(i)12: wt = wt + d(u);13: π(i) = p14: d = d.min A(i, :);15: Make Python implementation of the algebraic algorithm is shown  above

5. Vertices: (a, b, c, d, e, f, g) Edges: {(a, b), (a, f), (b, e), (b, g). (c. f). (c. g). (c. d), (d. e), (d. g} } Draw a Graph for the given vertices and edges. Find the adjacent vertices of a vertex c. Find the shortest path between source vertex f and destination vertex e.

bool DelOddCopEven(Node* headPtr) {    if (headPtr == nullptr) {        return false;    }     Node* prev = nullptr;    Node* current = headPtr;     while (current != nullptr) {        if (current->data % 2 != 0) {            // Odd-valued node, delete it            if (prev != nullptr) {                prev->link = current->link;            } else {                headPtr = current->link;            }            Node* temp = current;            current = current->link;            delete temp;        } else {            // Even-valued node, create a copy and insert it after the original node            Node* newNode = new Node;            newNode->data = current->data;            newNode->link = current->link;            current->link = newNode;             // Update the previous and current pointers            prev = newNode;            current = newNode->link;        }    }     return true;} int FindListLength(Node* headPtr){   int length = 0;…

When a vertex Q is connected by an edge to a vertex K, what is the term for the relationship between Q and K? *a) Q and K are "insecure."b) Q and K are "incident."c) Q and K are "adjacent."d) Q and K are "isolated."

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In graph theory, graph coloring is a special case of graph labeling; it is an assignment of labels traditionally called "colors" to elements of a graph subject to certain constraints. In its simplest form, it is a way of coloring the vertices of a graph such that no two adjacent vertices share the same color; this is called a vertex coloring. The chromatic number of a graph is the least mumber of colors required to do a coloring of a graph. Example Here in this graph the chromatic number is 3 since we used 3 colors The degree of a vertex v in a graph (without loops) is the number of edges at v. If there are loops at v each loop contributes 2 to the valence of v. A graph is connected if for any pair of vertices u and v one can get from u to v by moving along the edges of the graph. Such routes that move along edges are known by different names: edge progressions, paths, simple paths, walks, trails, circuits, cycles, etc. a. Write down the degree of the 16 vertices in the graph below: 14…

Graph Transversal Simulation: For this graph write down the order of vertices encountered in a breadth-first search starting from vertex A. Break ties by picking the vertices in alphabetical order (for example, A before Z)

Q9-A student has to plot a graph of f(x)=z and g(y)=z in the same graph, with t as a parameter. The function he uses is O plot3(x,y,z) plot(x,y,z) disp O stem(x,y)

vector<VertexT>  Vertices;  map<VertexT, vector<list>> adjList;   What is the worst case time complexity for this version of _LookupVertex?     bool _LookupVertex(VertexT v) const {      if (adjList.count(v) != 0) {          return true;      }      return false;  }   V is the number of total vertices in the graph, E is the average number of edges per vertex. O(v) O(VlogE) O(logV) O(V^2) O(E+V)