importantSYS.SOURCE: arXiv• 2026-07-21T17:59:29Z

Proving Greedy Algorithm Optimality in Single-Pass Semi-Streaming Matching

#data-structures-algorithms #computational-complexity #graph-theory

The paper proves that no single-pass semi-streaming algorithm can achieve better than a 50% approximation for maximum matching, establishing the greedy algorithm's optimality. This resolves a two-decade open problem in graph streaming and online matching with preemption.

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> OPENAI ACKNOWLEDGES WIKI INCIDENT AND DEVELOPS DISCLOSURE FRAMEWORK > REFLECTIONS ON ESSENTIAL LIFE VALUES: TIME, HEALTH, AND CONNECTION > CLUCKY ALARM APP UTILIZES ROOSTER SOUNDS AND CHALLENGES TO ENHANCE WAKE-UP EXPERIENCE > UNPATCHED TEAMCITY VULNERABILITY LEADS TO AWS CREDENTIAL THEFT IN JETBRAINS CADENCE BREACH > OCAML PROGRAMMING BOOK BY SYLVAIN CONCHON AND JEAN-CHRISTOPHE FILLIÂTRE > TOBACCO INDUSTRY'S ROLE IN THE EXPANSION OF ULTRA-PROCESSED FOODS > WIKIMEDIA FOUNDATION U.S. STAFF VOTE TO UNIONIZE WITH CWA LOCAL 9415 > CRITICAL INTEGER-OVERFLOW VULNERABILITY IN VMWARE WORKSTATION AND FUSION ENABLES HOST CODE EXECUTION > OURA'S PUBLIC OFFERING AND RISING COMPETITION IN THE SMART RING MARKET > 3M'S CONCEALMENT OF PFAS TOXICITY AND ENVIRONMENTAL IMPACT> OPENAI ACKNOWLEDGES WIKI INCIDENT AND DEVELOPS DISCLOSURE FRAMEWORK > REFLECTIONS ON ESSENTIAL LIFE VALUES: TIME, HEALTH, AND CONNECTION > CLUCKY ALARM APP UTILIZES ROOSTER SOUNDS AND CHALLENGES TO ENHANCE WAKE-UP EXPERIENCE > UNPATCHED TEAMCITY VULNERABILITY LEADS TO AWS CREDENTIAL THEFT IN JETBRAINS CADENCE BREACH > OCAML PROGRAMMING BOOK BY SYLVAIN CONCHON AND JEAN-CHRISTOPHE FILLIÂTRE > TOBACCO INDUSTRY'S ROLE IN THE EXPANSION OF ULTRA-PROCESSED FOODS > WIKIMEDIA FOUNDATION U.S. STAFF VOTE TO UNIONIZE WITH CWA LOCAL 9415 > CRITICAL INTEGER-OVERFLOW VULNERABILITY IN VMWARE WORKSTATION AND FUSION ENABLES HOST CODE EXECUTION > OURA'S PUBLIC OFFERING AND RISING COMPETITION IN THE SMART RING MARKET > 3M'S CONCEALMENT OF PFAS TOXICITY AND ENVIRONMENTAL IMPACT