From b27f286fc93e7320f5655c0cecacbab4d5a1981a Mon Sep 17 00:00:00 2001 From: Andrew Date: Fri, 28 Mar 2025 11:25:41 +0000 Subject: [PATCH] [CS4423]: Assignment 2 Part 2 Weighted Edges --- .../CS4423-Assignment-2-Part-2.ipynb | 60 ++++++++---------- .../submission/CS4423-Assignment-2-Part-2.pdf | Bin 157696 -> 153568 bytes 2 files changed, 27 insertions(+), 33 deletions(-) diff --git a/year4/semester2/CS4423/assignments/assignment2/submission/CS4423-Assignment-2-Part-2.ipynb b/year4/semester2/CS4423/assignments/assignment2/submission/CS4423-Assignment-2-Part-2.ipynb index 0f879043..6a6d7c6b 100644 --- a/year4/semester2/CS4423/assignments/assignment2/submission/CS4423-Assignment-2-Part-2.ipynb +++ b/year4/semester2/CS4423/assignments/assignment2/submission/CS4423-Assignment-2-Part-2.ipynb @@ -72,7 +72,7 @@ }, { "cell_type": "code", - "execution_count": 12, + "execution_count": 1, "id": "b96b6a50", "metadata": {}, "outputs": [], @@ -92,7 +92,7 @@ }, { "cell_type": "code", - "execution_count": 3, + "execution_count": 2, "id": "d548d182", "metadata": {}, "outputs": [], @@ -152,13 +152,13 @@ }, { "cell_type": "code", - "execution_count": 13, + "execution_count": 3, "id": "0cddf432", "metadata": {}, "outputs": [ { "data": { - "image/png": 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", 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", 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" ] @@ -196,7 +196,7 @@ }, { "cell_type": "code", - "execution_count": 14, + "execution_count": 4, "id": "a6d6c25a", "metadata": {}, "outputs": [], @@ -218,7 +218,7 @@ }, { "cell_type": "code", - "execution_count": 15, + "execution_count": 5, "id": "652dfa5d", "metadata": {}, "outputs": [ @@ -338,7 +338,7 @@ "10 0.111111 0.052423 0.346154 0.000000" ] }, - "execution_count": 15, + "execution_count": 5, "metadata": {}, "output_type": "execute_result" } @@ -357,13 +357,13 @@ }, { "cell_type": "code", - "execution_count": 18, + "execution_count": 6, "id": "51619b7d", "metadata": {}, "outputs": [ { "data": { - "image/png": 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", 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", 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" ] @@ -391,7 +391,7 @@ }, { "cell_type": "code", - "execution_count": 32, + "execution_count": 7, "id": "e09a9ffe", "metadata": {}, "outputs": [], @@ -420,7 +420,7 @@ }, { "cell_type": "code", - "execution_count": 33, + "execution_count": 8, "id": "a76e5712", "metadata": {}, "outputs": [ @@ -433,7 +433,7 @@ }, { "data": { - "image/png": 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", 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", 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" ] @@ -496,14 +496,16 @@ }, { "cell_type": "code", - "execution_count": 51, + "execution_count": 25, "id": "971ba5cf", "metadata": {}, "outputs": [], "source": [ "def num_triangles(G):\n", " A = nx.adjacency_matrix(G).todense()\n", - " B = np.linalg.matrix_power(A, 3)\n", + " A_bin = (A != 0).astype(int) # handle weighted edges\n", + "\n", + " B = np.linalg.matrix_power(A_bin, 3)\n", " trace = np.trace(B)\n", " return int(trace / 6)" ] @@ -518,7 +520,7 @@ }, { "cell_type": "code", - "execution_count": 45, + "execution_count": 26, "id": "582a7740", "metadata": {}, "outputs": [ @@ -528,7 +530,7 @@ "4" ] }, - "execution_count": 45, + "execution_count": 26, "metadata": {}, "output_type": "execute_result" } @@ -562,7 +564,7 @@ }, { "cell_type": "code", - "execution_count": 64, + "execution_count": 27, "id": "459dae88", "metadata": {}, "outputs": [ @@ -573,7 +575,7 @@ "Florentine order: 15\n", "Florentine size: 20\n", "Florentine number of triangles: 3\n", - "GER number of triangles: 2\n" + "GER number of triangles: 4\n" ] } ], @@ -593,7 +595,7 @@ }, { "cell_type": "code", - "execution_count": 79, + "execution_count": 28, "id": "c84c4df4", "metadata": {}, "outputs": [ @@ -603,8 +605,8 @@ "text": [ "Karate Club order: 34\n", "Karate Club size: 78\n", - "Karate Club number of triangles: 1821\n", - "GER number of triangles: 13\n" + "Karate Club number of triangles: 45\n", + "GER number of triangles: 21\n" ] } ], @@ -624,7 +626,7 @@ }, { "cell_type": "code", - "execution_count": 83, + "execution_count": 30, "id": "6fcedf05", "metadata": {}, "outputs": [ @@ -634,8 +636,8 @@ "text": [ "Les Miserables order: 77\n", "Les Miserables size: 254\n", - "Les Miserables number of triangles: 55513\n", - "GER number of triangles: 60\n" + "Les Miserables number of triangles: 467\n", + "GER number of triangles: 45\n" ] } ], @@ -650,7 +652,7 @@ "print(\"Les Miserables number of triangles: \" + str(triangles))\n", "\n", "ger = nx.gnm_random_graph(order, size)\n", - "print(\"GER number of triangles: \" + str(num_triangles(ger)))\n" + "print(\"GER number of triangles: \" + str(num_triangles(ger)))" ] }, { @@ -665,14 +667,6 @@ "2. For $n=100$ make a $G_{ER}(n,p)$ graph with the values of $p$ drawn from above, and count the number of triangles. Call this $T(G)$.\n", "3. I conjecture that $T(G)/m(G) \\approx C p^2$, for some constant $C$ that depends on $n$. Try to produce a plot that supports (or refutes) this conjecture, and try to estimate $C$" ] - }, - { - "cell_type": "code", - "execution_count": null, - "id": "ce7cad10", - "metadata": {}, - "outputs": [], - "source": [] } ], "metadata": { diff --git a/year4/semester2/CS4423/assignments/assignment2/submission/CS4423-Assignment-2-Part-2.pdf b/year4/semester2/CS4423/assignments/assignment2/submission/CS4423-Assignment-2-Part-2.pdf index 25f3bab7a89c3ec17640cc906068304a167a0004..790786822960cf4b5641a085336a805e22a44712 100644 GIT binary patch delta 104154 zcmZtsby!ww_XUiCD5#W5h_rO4bT@*ebW4Xc(y&0JyQM)=Qo2Dvq`SMjTl(CO?)Ur7 z?_B4PeLee<75A($#~gEc4L(^cc@n`1aq{y&wRf;H`e6Cgc{)X-E9|7^dD8~<>4R|_ zYAdfHe>hfzRqS+YAvDM9i)6dbYhB?o>^QRg88qXYnQy=J_s*2R$KNwJGM@?5ld0Zw z^h`k8V`*n66Fm#iy_V;78v}b$KcX6cTJYHq#GN?l3ff;~?)-P3*nZE21dikAnjT^t zoV}m;iDNKh?N5|Pq+7D2AaFKQUD@G}94k)u$9-m|$>-jtw0NeZ&iM2;9D?o)E^klR z_HXs~G=yzZt{+%DRAU&gsZ=9AUt$lly+DuOPJ}$Qcv;4A&d&NXi$pcvlI0Afq(l?K 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