Graph theory Memes

Posts tagged with Graph theory

Kruskal's Mathematical Mind Trick

Kruskal's Mathematical Mind Trick
The answer is 5, but not because of simple counting! This meme references Kruskal's algorithm, which finds minimum spanning trees in graph theory. The sequence 1, 3, 5... isn't arithmetic—it's the first few numbers in the Kruskal count, a mathematical sequence where each number appears exactly once as a digit in the sequence itself! Most people try to find patterns like 1+2=3, 3+2=5, but the true math nerds know this self-referential sequence that makes computer scientists giggle with delight. No wonder 99% fail—they're looking for the wrong pattern entirely!

Actual Counter Example Of The Four Color Theorem

Actual Counter Example Of The Four Color Theorem
Hold up, mathematicians! Someone's trying to break the universe with a pie chart using FIVE colors! The Four Color Theorem states that any map can be colored using just four colors without adjacent regions sharing the same color. But this rebel pie chart is flaunting FIVE distinct colors (pink, purple, orange, green, and blue) while having no adjacent regions sharing colors! It's mathematical anarchy! Of course, the joke is that a pie chart isn't a map in the theorem's sense - the theorem applies to planar maps where regions share borders. In a pie chart, every slice touches every other slice at the center point, so technically you'd need as many colors as slices! Mathematical mic drop! 🎤

The Original Unwinnable Game

The Original Unwinnable Game
Imagine spending your Sunday trying to cross every bridge in your city exactly once and getting MATHEMATICALLY PROVEN it's impossible! Poor Königsberg residents were basically playing an unsolvable game on hard mode without knowing it. Then Euler shows up like "Sorry folks, your bridge problem isn't just difficult—it's literally impossible because you have too many odd-degree vertices!" And boom—graph theory was born! That's right, an entire field of mathematics exists because some stubborn 18th-century Germans wouldn't give up on their weekend walking routes. 😂

When Casual Puzzles Reveal Their Mathematical Horror

When Casual Puzzles Reveal Their Mathematical Horror
Started with Sudoku, thought it was just a fun puzzle. Peeked under the hood and discovered it's actually Graph Theory in disguise. That moment when recreational mathematics reveals itself to be hardcore computational complexity. The cat's expression perfectly captures that "I've made a terrible mistake" realization every math enthusiast experiences when they accidentally wander into NP-complete territory.

Throw Your Textbooks In The Fire People

Throw Your Textbooks In The Fire People
Computer science students everywhere just collectively gasped! Dijkstra's algorithm—the holy grail of finding shortest paths in graphs since 1956—supposedly dethroned?! That's like finding out gravity was just Newton's practical joke. For decades, CS students have been implementing this algorithm in their sleep, only to discover their entire academic foundation might be built on computational quicksand. Next thing you'll tell me is that P equals NP and we can all go home early! For the uninitiated: Dijkstra's algorithm efficiently finds the shortest path between nodes in a graph (think finding the fastest route on Google Maps). It's been the backbone of pathfinding for over 60 years. Having it proven non-optimal would send shockwaves through theoretical computer science—hence the perfect shocked face reaction!

The Greatest Graph Theorist Of Our Time

The Greatest Graph Theorist Of Our Time
Behold! The most scientifically accurate representation of human relationships I've ever witnessed! This magnificent directed graph transforms the chaotic mess of teenage romance into a beautiful mathematical structure that would make even Euler weep tears of joy! What we're witnessing here is essentially a complex network theory problem with edges labeled "likes," "dating," "dumped," "can't stand," and my personal favorite, the elusive "currently available" node sitting awkwardly in the middle. The topology of this love graph is more tangled than my headphone cables after 5 minutes in my pocket! If you tried to solve this using traditional graph theory algorithms, your computer would probably catch fire and then ask for relationship advice. Trust me, I've tried. The NP-hard problem of figuring out who's going to prom with whom remains unsolved!

Four Colors Are Indeed Enough

Four Colors Are Indeed Enough
Someone's trying to disprove the 4-Color Theorem with this diagram, but they've played themselves! The theorem states that any map can be colored using just 4 colors without adjacent regions sharing colors. This diagram uses 4 colors (red, yellow, green, burgundy) but creates a false "gotcha" by making regions touch at the inner circle. Classic mathematical trolling! The theorem actually accounts for this - regions that only meet at a point (not along a border) can share colors. It's like watching someone try to checkmate mathematics with a pawn.

The Team In 'Smart Cities' Strategies

The Team In 'Smart Cities' Strategies
Welcome to the corporate dystopia of "smart cities" planning! Two team members immediately jump to surveillance-based solutions—one suggesting "Minority Report" pre-crime AI (because nothing says urban planning like arresting people before they drive badly), and another brilliantly proposing "1984" surveillance (because traffic congestion is definitely solved by Big Brother watching you). Meanwhile, the quiet engineer in the corner suggests actual math and science: graph theory to optimize the street grid into a more efficient tree structure while adapting speed limits. Naturally, this person gets thrown out the window. Can't have actual solutions interfering with our dystopian surveillance fantasies! Fun fact: Graph theory has been used to solve real traffic problems since the 1950s, but why use proven mathematics when you can just slap "AI" on a proposal and get triple the funding?