From a1c3fecaf8e6679039b8649dc379cde4e7d7e381 Mon Sep 17 00:00:00 2001 From: =?UTF-8?q?=C3=84min=20on=20ThinkPad?= Date: Thu, 11 May 2023 14:34:12 +0200 Subject: [PATCH] Extended README.md and added example.png to introduce the graphviz tool --- README.md | 39 ++++++++++++++++++++++++++++++++------- example.png | Bin 0 -> 163267 bytes 2 files changed, 32 insertions(+), 7 deletions(-) create mode 100644 example.png diff --git a/README.md b/README.md index 6c898d2..7f160a6 100644 --- a/README.md +++ b/README.md @@ -7,12 +7,13 @@ SPDX-License-Identifier: GPL-3.0-or-later # SOC Observation Code ## Description -SOC stands for **S**OC **O**bservation **C**ode, and is composed of two C programs: +SOC stands for **S**OC **O**bservation **C**ode, and is composed of three C programs: - One, `SOCgen`, to generate SOC graphs (here, SOC stands for Siblings-on-Cycles), -- and another, `SOCadmissible`, to verify the admissibility of these graphs as quantum causal structures. +- and another, `SOCadmissible`, to verify the admissibility of these graphs as quantum causal structures, +- and the last, `SOCgraphviz`, to translate adjancency matrices into the [Graphviz language](https://graphviz.org/). -These programs are used in support of Conjecture 1 in the article [Admissible Causal Structures and Correlations, arXiv:2210.12796 \[quant-ph\]](https://arxiv.org/abs/2210.12796). +The first two programs are used in support of Conjecture 1 in the article [Admissible Causal Structures and Correlations, arXiv:2210.12796 \[quant-ph\]](https://arxiv.org/abs/2210.12796). ## Installation First, clone this repository, and then simply run @@ -22,7 +23,7 @@ $ cd soc-observation-code/ $ make ``` -This compiles the two programs as `SOCgen` and `SOCadmissible`. +This compiles the programs `SOCgen`, `SOCadmissible`, and `SOCgraphviz`. ## Usage To display help and exit, run the respective program without command-line arguments. @@ -60,7 +61,21 @@ Usage: ./SOCadmissible [ [ | +]] This program verifies the admissibility of simple directed graphs. ``` -### Example +### SOCgraphviz +``` +$ ./SOCgraphviz +Usage: ./SOCgraphviz + File name with adjacency matrices of simple directed graphs + +[FILE FORMAT] + Each line in `filename' must contain the adjacency matrix of a simple directed graph in the format + {{a00,a01,...},{a10,a11,...},...} where aij=1 if and only if the graph has the edge i -> j + The file `filename' may contain graphs with different order (number of vertices) + +This program translates to adjacency matrices into the Graphviz format, and prints them to stdout. +``` + +### Examples To generate all SOCs with three nodes, and save them in the file `3.soc`, run: ``` $ ./SOCgen -n 3 > 3.soc @@ -76,13 +91,23 @@ Verifying the admissibility of 6 graphs in the file `3.soc' (line 1 to line 6) These graphs are admissible ``` -The SOCs generated can easily be displayed with Mathematica using the following: +The SOCs generated can easily be displayed with the [Graphviz](https://graphviz.org/) tools: ``` -SOCs = DirectedGraph[AdjacencyGraph[#]] & /@ ToExpression[Import["./3.soc", "List"]]; +./SOCgraphviz 3.soc | dot | gvpack | circo -Nshape=point -Tx11 +``` +or in [Wolfram Mathematica](https://www.wolfram.com/mathematica/) using: +``` +SOCs = AdjacencyGraph[#] & /@ ToExpression[Import["./3.soc", "List"]]; SOCs = DeleteDuplicatesBy[SOCs, CanonicalGraph]; SOCs ``` +To generate all SOCs with four nodes, and to display them using Graphviz, you may run: +``` +./SOCgen -n 4 | ./SOCgraphviz /dev/stdin | dot | gvpack | circo -Nshape=point -Tx11 +``` +![All SOCs with four nodes](./example.png "SOCs with four nodes") + ## Limitations In `SOCgen`, each simple directed graph is represented by a 64bit unsigned integer: This integer is interpreted as a vector of bits, where each bit specifies the absence or presence of a directed edge from one node to another. diff --git a/example.png b/example.png new file mode 100644 index 0000000000000000000000000000000000000000..d7ffd5859ebbd19d12a269b4012b8cc3218d37f9 GIT binary patch literal 163267 zcmX_HcOYEP_Ft>_&gz}jSzVOXtzN^5ZnY56B6^Ry>T0X^7SRdeD>|#UNQgvlAyFbh z2tV)r-h1btyLaxLoinH0ne#bk5{(SBNQoGU0000fOk3Rq0Kj?piM>VeuZym-EBV6( z$5lmN1psJCBffROeYj_L(l*ft0D^e|fXG+?;Lk%-8u{ ztCHDEU%uFs3LBMWsXh@fvRI>Y&3NT}mi7fV=UvaD3GO%BZ$I=EpD}*KOkLmQVIAN%%ER1+D+A*Ca6ee_|Ed`lT}q)%X`xf!W0}RPd}g2~;XB{H@Cc z00RFeR>vLYC!a913-cz?nhNUpI{593rN%b@d0On92ou_bR4a@Px?ymNIaLoaa-6p2 zfdBvhHO*%9>x3j7!xnop-2WeLBy9PNik{`pd}#6Zk(ha8;F|>rBjbM& ze*^QbFy9s%&g3=Hzp4h#UJooS{}*l1xra^@(mUb!!K*IRiPir%isPf#JV+fUsxuwK z4#58gAVmss!57A{j~@rO;+Fn*I$qw%VN_bxEvAPUy2yG!?Z2sOK)6wxHKb6ls>UP! 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