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Consider a graph G = (V , E ), where V = {v2, v2, ..., v100}, E = {(vi , vj)⏐1 ≤ i < j ≤ 100} and weight of the edge (vi, vj) is ⏐i – j⏐. The weight of minimum spanning tree of G is ________.
    Correct answer is '99'. Can you explain this answer?
    Verified Answer
    Consider a graph G = (V , E ), where V = {v2, v2, ..., v100}, E = {(vi...
    Consider small instance of 4-vertices

    Clearly,  would be a MST with cost 3.
    Hence for 100 vertices, 99 will the weight of minimum spanning tree.
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    Most Upvoted Answer
    Consider a graph G = (V , E ), where V = {v2, v2, ..., v100}, E = {(vi...
    , v3), (v1, v4), (v2, v4), (v2, v5), (v3, v5), (v3, v6), (v4, v7), (v5, v8), (v6, v9), (v7, v10), (v8, v10), (v8, v11), (v9, v12), (v10, v13), (v11, v14), (v12, v15), (v13, v16), (v14, v17), (v15, v18), (v16, v19), (v17, v20), (v18, v21), (v19, v22), (v20, v23), (v21, v24), (v22, v25), (v23, v26), (v24, v27), (v25, v28), (v26, v29), (v27, v30), (v28, v31), (v29, v32), (v30, v33), (v31, v34), (v32, v35), (v33, v36), (v34, v37), (v35, v38), (v36, v39), (v37, v40), (v38, v41), (v39, v42), (v40, v43), (v41, v44), (v42, v45), (v43, v46), (v44, v47), (v45, v48), (v46, v49), (v47, v50), (v48, v51), (v49, v52), (v50, v53), (v51, v54), (v52, v55), (v53, v56), (v54, v57), (v55, v58), (v56, v59), (v57, v60), (v58, v61), (v59, v62), (v60, v63), (v61, v64), (v62, v65), (v63, v66), (v64, v67), (v65, v68), (v66, v69), (v67, v70), (v68, v71), (v69, v72), (v70, v73), (v71, v74), (v72, v75), (v73, v76), (v74, v77), (v75, v78), (v76, v79), (v77, v80), (v78, v81), (v79, v82), (v80, v83), (v81, v84), (v82, v85), (v83, v86), (v84, v87), (v85, v88), (v86, v89), (v87, v90), (v88, v91), (v89, v92), (v90, v93), (v91, v94), (v92, v95), (v93, v96), (v94, v97), (v95, v98), (v96, v99), (v97
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    Consider a graph G = (V , E ), where V = {v2, v2, ..., v100}, E = {(vi , vj)1 ≤ i < j ≤ 100} and weight of the edge (vi, vj) is i – j. The weight of minimum spanning tree of G is ________.Correct answer is '99'. Can you explain this answer?
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